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114241204524140 = 22531737333443533
BaseRepresentation
bin11001111110011011011010…
…011010100001010001101100
3112222111100111222002212112022
4121332123122122201101230
5104433211441324233030
61042545403531525312
733030440355250661
oct3176333232412154
9488440458085468
10114241204524140
11334454717678a1
12109908642b9838
134b98b8cb88095
14202d4378b9a68
15d31a21259de5
hex67e6da6a146c

114241204524140 has 96 divisors (see below), whose sum is σ = 251380406247936. Its totient is φ = 43557098526720.

The previous prime is 114241204524049. The next prime is 114241204524151. The reversal of 114241204524140 is 41425402142411.

It is a super-2 number, since 2×1142412045241402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114241204524140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31453814 + ... + 34897346.

It is an arithmetic number, because the mean of its divisors is an integer number (2618545898416).

Almost surely, 2114241204524140 is an apocalyptic number.

114241204524140 is a gapful number since it is divisible by the number (10) 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 114241204524140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125690203123968).

114241204524140 is an abundant number, since it is smaller than the sum of its proper divisors (137139201723796).

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

114241204524140 is a wasteful number, since it uses less digits than its factorization.

114241204524140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444379 (or 3444377 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

Adding to 114241204524140 its reverse (41425402142411), we get a palindrome (155666606666551).

The spelling of 114241204524140 in words is "one hundred fourteen trillion, two hundred forty-one billion, two hundred four million, five hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 620 730 733 1460 1466 2263 2932 3665 4526 7330 9052 11315 14660 22630 22723 45260 45446 53509 90892 107018 113615 214036 227230 267545 454460 535090 1070180 1658779 3317558 3443533 6635116 6887066 8293895 13774132 16587790 17217665 33175580 34435330 68870660 106749523 213499046 251377909 426998092 502755818 533747615 1005511636 1067495230 1256889545 2134990460 2513779090 2524109689 5027558180 5048219378 7792715179 10096438756 12620548445 15585430358 25241096890 31170860716 38963575895 50482193780 77927151790 78247400359 155854303580 156494800718 184260007297 312989601436 368520014594 391237001795 737040029188 782474003590 921300036485 1564948007180 1842600072970 3685200145940 5712060226207 11424120452414 22848240904828 28560301131035 57120602262070 114241204524140