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102342413000424 = 233193122373236407
BaseRepresentation
bin10111010001010001110011…
…001011000001111011101000
3111102100211122201122001210110
4113101101303023001323220
5101403234230212003144
61001355242214414320
730361665254134302
oct2721216313017350
9442324581561713
10102342413000424
112a6781a0094223
12b58a78b0613a0
134514b0447956c
141b3b583656972
15bc72636d60b9
hex5d14732c1ee8

102342413000424 has 128 divisors (see below), whose sum is σ = 278134314393600. Its totient is φ = 31262128485120.

The previous prime is 102342413000413. The next prime is 102342413000449. The reversal of 102342413000424 is 424000314243201.

It is a junction number, because it is equal to n+sod(n) for n = 102342413000391 and 102342413000400.

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 31 ways as a sum of consecutive naturals, for example, 30004029 + ... + 33240435.

It is an arithmetic number, because the mean of its divisors is an integer number (2172924331200).

Almost surely, 2102342413000424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342413000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139067157196800).

102342413000424 is an abundant number, since it is smaller than the sum of its proper divisors (175791901393176).

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

102342413000424 is a wasteful number, since it uses less digits than its factorization.

102342413000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238703 (or 3238699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 102342413000424 its reverse (424000314243201), we get a palindrome (526342727243625).

The spelling of 102342413000424 in words is "one hundred two trillion, three hundred forty-two billion, four hundred thirteen million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2237 2356 3534 4474 4712 6711 7068 8948 13422 14136 17896 26844 42503 53688 69347 85006 127509 138694 170012 208041 255018 277388 340024 416082 510036 554776 832164 1020072 1317593 1664328 2635186 3236407 3952779 5270372 6472814 7905558 9709221 10540744 12945628 15811116 19418442 25891256 31622232 38836884 61491733 77673768 100328617 122983466 184475199 200657234 245966932 300985851 368950398 401314468 491933864 601971702 737900796 802628936 1203943404 1475801592 1906243723 2407886808 3812487446 5718731169 7239842459 7624974892 11437462338 14479684918 15249949784 21719527377 22874924676 28959369836 43439054754 45749849352 57918739672 86878109508 137557006721 173756219016 224435116229 275114013442 412671020163 448870232458 550228026884 673305348687 825342040326 897740464916 1100456053768 1346610697374 1650684080652 1795480929832 2693221394748 3301368161304 4264267208351 5386442789496 8528534416702 12792801625053 17057068833404 25585603250106 34114137666808 51171206500212 102342413000424