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114155131152015 = 345345918148493
BaseRepresentation
bin11001111101001011010000…
…000010101010011010001111
3112222012010100100212112020000
4121331023100002222122033
5104430304202033331030
61042442050540455343
733021302365541052
oct3175132002523217
9488163310775200
10114155131152015
1133411a12576408
121097804254a553
134b90a23707b65
1420291d02b2a99
15d2e6849ad860
hex67d2d00aa68f

114155131152015 has 40 divisors (see below), whose sum is σ = 204639583429248. Its totient is φ = 60880969068480.

The previous prime is 114155131151969. The next prime is 114155131152037. The reversal of 114155131152015 is 510251131551411.

114155131152015 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 513 + 115 + 20 + 1 + 5 = 666.

It is not a de Polignac number, because 114155131152015 - 212 = 114155131147919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9935109 + ... + 18083601.

Almost surely, 2114155131152015 is an apocalyptic number.

114155131152015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114155131152015 is a deficient number, since it is larger than the sum of its proper divisors (90484452277233).

114155131152015 is an equidigital number, since it uses as much as digits as its factorization.

114155131152015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183101 (or 8183092 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 36.

The spelling of 114155131152015 in words is "one hundred fourteen trillion, one hundred fifty-five billion, one hundred thirty-one million, one hundred fifty-two thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 405 34591 103773 172955 311319 518865 933957 1556595 2801871 4669785 8148493 14009355 24445479 40742465 73336437 122227395 220009311 366682185 660027933 1100046555 3300139665 281864521363 845593564089 1409322606815 2536780692267 4227967820445 7610342076801 12683903461335 22831026230403 38051710384005 114155131152015