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159130314342 = 23417260922147
BaseRepresentation
bin1001010000110011100…
…1111110011001100110
3120012202001202112120000
42110030321332121212
510101344330024332
6201034202522130
714332253232336
oct2241471763146
9505661675500
10159130314342
1161539a0648a
1226a10506346
131201002831c
1479b82090c6
15421544cb7c
hex250ce7e666

159130314342 has 80 divisors (see below), whose sum is σ = 377706233520. Its totient is φ = 49901847552.

The previous prime is 159130314323. The next prime is 159130314389. The reversal of 159130314342 is 243413031951.

159130314342 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 303 + 1 + 4 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 159130314297 and 159130314306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7174113 + ... + 7196259.

It is an arithmetic number, because the mean of its divisors is an integer number (4721327919).

Almost surely, 2159130314342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159130314342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188853116760).

159130314342 is an abundant number, since it is smaller than the sum of its proper divisors (218575919178).

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

159130314342 is a wasteful number, since it uses less digits than its factorization.

159130314342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24787 (or 24778 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 159130314342 in words is "one hundred fifty-nine billion, one hundred thirty million, three hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2609 2754 5218 7827 15654 22147 23481 44294 44353 46962 66441 70443 88706 132882 133059 140886 199323 211329 266118 376499 398646 399177 422658 597969 752998 798354 1129497 1195938 1197531 1793907 2258994 2395062 3388491 3587814 3592593 6776982 7185186 10165473 20330946 30496419 57781523 60992838 115563046 173344569 346689138 520033707 982285891 1040067414 1560101121 1964571782 2946857673 3120202242 4680303363 5893715346 8840573019 9360606726 17681146038 26521719057 53043438114 79565157171 159130314342