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115242400345401 = 32771240491071313
BaseRepresentation
bin11010001100111111110110…
…010101011110110100111001
3120010001001210000200022101200
4122030333312111132310321
5110101112413442023101
61045033343341004413
733162663053312250
oct3214776625366471
9503031700608350
10115242400345401
11337a10336a4a1a
1210b128ba853709
134c3c408b14064
142065a94a85797
15d4cabc983986
hex68cff655ed39

115242400345401 has 48 divisors (see below), whose sum is σ = 192929081529600. Its totient is φ = 64922535659520.

The previous prime is 115242400345357. The next prime is 115242400345433. The reversal of 115242400345401 is 104543004242511.

115242400345401 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 240 + 0 + 3 + 4 + 5 + 401 = 666.

It is not a de Polignac number, because 115242400345401 - 26 = 115242400345337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115242400345481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107035521 + ... + 108106833.

It is an arithmetic number, because the mean of its divisors is an integer number (4019355865200).

Almost surely, 2115242400345401 is an apocalyptic number.

It is an amenable number.

115242400345401 is a deficient number, since it is larger than the sum of its proper divisors (77686681184199).

115242400345401 is a wasteful number, since it uses less digits than its factorization.

115242400345401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095446 (or 1095443 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 115242400345401 its reverse (104543004242511), we get a palindrome (219785404587912).

The spelling of 115242400345401 in words is "one hundred fifteen trillion, two hundred forty-two billion, four hundred million, three hundred forty-five thousand, four hundred one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 24049 72147 168343 216441 505029 1071313 1515087 1707479 3213939 5122437 7499191 9641817 11952353 15367311 22497573 35857059 67492719 76063223 107571177 228189669 532442561 684569007 1597327683 4791983049 25764006337 77292019011 180348044359 231876057033 541044133077 1623132399231 1829244449927 5487733349781 12804711149489 16463200049343 38414133448467 115242400345401