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102141240014004 = 22367257494324293
BaseRepresentation
bin10111001110010110011100…
…010100111111010010110100
3111101122121101122011111102120
4113032112130110333102310
5101341440224420422004
61001123012103235540
730341314101021642
oct2716263424772264
9441577348144376
10102141240014004
112a5aa947197a64
12b5577a6748bb0
1344cbb541337a9
141b3193b878192
15bc1ddc2b03d9
hex5ce59c53f4b4

102141240014004 has 48 divisors (see below), whose sum is σ = 242827911590208. Its totient is φ = 33408412950528.

The previous prime is 102141240013991. The next prime is 102141240014063. The reversal of 102141240014004 is 400410042141201.

It is a super-2 number, since 2×1021412400140042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246955519 + ... + 247368774.

It is an arithmetic number, because the mean of its divisors is an integer number (5058914824796).

Almost surely, 2102141240014004 is an apocalyptic number.

It is an amenable number.

102141240014004 is an abundant number, since it is smaller than the sum of its proper divisors (140686671576204).

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

102141240014004 is a wasteful number, since it uses less digits than its factorization.

102141240014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494324624 (or 494324622 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102141240014004 its reverse (400410042141201), we get a palindrome (502551282155205).

The spelling of 102141240014004 in words is "one hundred two trillion, one hundred forty-one billion, two hundred forty million, fourteen thousand, four".

Divisors: 1 2 3 4 6 12 67 134 201 257 268 402 514 771 804 1028 1542 3084 17219 34438 51657 68876 103314 206628 494324293 988648586 1482972879 1977297172 2965945758 5931891516 33119727631 66239455262 99359182893 127041343301 132478910524 198718365786 254082686602 381124029903 397436731572 508165373204 762248059806 1524496119612 8511770001167 17023540002334 25535310003501 34047080004668 51070620007002 102141240014004