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140815884533744 = 24729612311307543
BaseRepresentation
bin100000000001001001000000…
…110001101011111111110000
3200110120212102002221012110102
4200001021000301223333300
5121424111412420034434
61215253531352051532
741442416614302110
oct4001110061537760
9613525362835412
10140815884533744
1140960754836282
121396308a993ba8
136075b5b545b64
1426ab74d129040
151142e270b707e
hex801240c6bff0

140815884533744 has 160 divisors (see below), whose sum is σ = 327989328291840. Its totient is φ = 57288431692800.

The previous prime is 140815884533743. The next prime is 140815884533749. The reversal of 140815884533744 is 447335488518041.

140815884533744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1408158845337442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140815884533743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457720037 + ... + 458027579.

It is an arithmetic number, because the mean of its divisors is an integer number (2049933301824).

Almost surely, 2140815884533744 is an apocalyptic number.

140815884533744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140815884533744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163994664145920).

140815884533744 is an abundant number, since it is smaller than the sum of its proper divisors (187173443758096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140815884533744 is a wasteful number, since it uses less digits than its factorization.

140815884533744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309959 (or 309953 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 65.

The spelling of 140815884533744 in words is "one hundred forty trillion, eight hundred fifteen billion, eight hundred eighty-four million, five hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 61 112 116 122 203 232 244 406 427 464 488 812 854 976 1624 1708 1769 2311 3248 3416 3538 4622 6832 7076 9244 12383 14152 16177 18488 24766 28304 32354 36976 49532 64708 67019 99064 129416 134038 140971 198128 258832 268076 281942 307543 469133 536152 563884 615086 938266 986797 1072304 1127768 1230172 1876532 1973594 2152801 2255536 2460344 3753064 3947188 4088159 4305602 4920688 7506128 7894376 8176318 8611204 8918747 15788752 16352636 17222408 17837494 18760123 28617113 32705272 34444816 35674988 37520246 57234226 62431229 65410544 71349976 75040492 114468452 124862458 131320861 142699952 150080984 228936904 249724916 262641722 300161968 457873808 499449832 525283444 544043567 710731873 998899664 1050566888 1088087134 1421463746 2101133776 2176174268 2842927492 3808304969 4352348536 4975123111 5685854984 7616609938 8704697072 9950246222 11371709968 15233219876 19900492444 20611224317 30466439752 39800984888 41222448634 43354644253 60932879504 79601969776 82444897268 86709288506 144278570219 164889794536 173418577012 288557140438 303482509771 329779589072 346837154024 577114280876 606965019542 693674308048 1154228561752 1213930039084 1257284683337 2308457123504 2427860078168 2514569366674 4855720156336 5029138733348 8800992783359 10058277466696 17601985566718 20116554933392 35203971133436 70407942266872 140815884533744