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102140231214040 = 23543591006506023
BaseRepresentation
bin10111001110010101100000…
…001100101110001111011000
3111101122111210022221011000221
4113032111200030232033120
5101341431143142322130
61001122324025205424
730341250101250115
oct2716254014561730
9441574708834027
10102140231214040
112a5aa479803688
12b557564930874
1344cba23135036
141b318838b990c
15bc1d7d94187a
hex5ce56032e3d8

102140231214040 has 64 divisors (see below), whose sum is σ = 239145831302400. Its totient is φ = 39229578713472.

The previous prime is 102140231213957. The next prime is 102140231214079. The reversal of 102140231214040 is 40412132041201.

It is a super-2 number, since 2×1021402312140402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102140231213996 and 102140231214014.

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 15 ways as a sum of consecutive naturals, for example, 503151532 + ... + 503354491.

It is an arithmetic number, because the mean of its divisors is an integer number (3736653614100).

Almost surely, 2102140231214040 is an apocalyptic number.

102140231214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102140231214040 is an abundant number, since it is smaller than the sum of its proper divisors (137005600088360).

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

102140231214040 is a wasteful number, since it uses less digits than its factorization.

102140231214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006506136 (or 1006506132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102140231214040 its reverse (40412132041201), we get a palindrome (142552363255241).

The spelling of 102140231214040 in words is "one hundred two trillion, one hundred forty billion, two hundred thirty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 59 86 118 172 215 236 295 344 430 472 590 860 1180 1720 2360 2537 5074 10148 12685 20296 25370 50740 101480 1006506023 2013012046 4026024092 5032530115 8052048184 10065060230 20130120460 40260240920 43279758989 59383855357 86559517978 118767710714 173119035956 216398794945 237535421428 296919276785 346238071912 432797589890 475070842856 593838553570 865595179780 1187677107140 1731190359560 2375354214280 2553505780351 5107011560702 10214023121404 12767528901755 20428046242808 25535057803510 51070115607020 102140231214040