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114000531500352 = 263784821824033
BaseRepresentation
bin11001111010111011010001…
…001011110010110101000000
3112221122100022001100111110110
4121322323101023302311000
5104420241042031002402
61042243042101431320
733004160305304460
oct3172732113626500
9487570261314413
10114000531500352
1133362399053952
121095209740b540
134b7c286230b33
142021925ab5ba0
15d2a6371a956c
hex67aed12f2d40

114000531500352 has 56 divisors (see below), whose sum is σ = 344715892874176. Its totient is φ = 32571580428288.

The previous prime is 114000531500351. The next prime is 114000531500381. The reversal of 114000531500352 is 253005135000411.

114000531500352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1140005315003522 (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 (114000531500351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42410910673 + ... + 42410913360.

Almost surely, 2114000531500352 is an apocalyptic number.

114000531500352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114000531500352 is an abundant number, since it is smaller than the sum of its proper divisors (230715361373824).

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

114000531500352 is an equidigital number, since it uses as much as digits as its factorization.

114000531500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84821824055 (or 84821824045 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 114000531500352 its reverse (253005135000411), we get a palindrome (367005666500763).

The spelling of 114000531500352 in words is "one hundred fourteen trillion, five hundred thirty-one million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 84821824033 169643648066 254465472099 339287296132 508930944198 593752768231 678574592264 1017861888396 1187505536462 1357149184528 1781258304693 2035723776792 2375011072924 2714298369056 3562516609386 4071447553584 4750022145848 5428596738112 7125033218772 8142895107168 9500044291696 14250066437544 16285790214336 19000088583392 28500132875088 38000177166784 57000265750176 114000531500352