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159000457434 = 237133173128683
BaseRepresentation
bin1001010000010100101…
…0100111000011011010
3120012102000102010100220
42110011022213003122
510101113104114214
6201013243340510
714326115405640
oct2240512470332
9505360363326
10159000457434
1161482682025
1226994b21736
1311cbc15ca10
1479a4c85190
154208d4b9a9
hex25052a70da

159000457434 has 128 divisors (see below), whose sum is σ = 409548668928. Its totient is φ = 40025249280.

The previous prime is 159000457423. The next prime is 159000457459. The reversal of 159000457434 is 434754000951.

It is a super-2 number, since 2×1590004574342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171257 + ... + 1299939.

It is an arithmetic number, because the mean of its divisors is an integer number (3199598976).

Almost surely, 2159000457434 is an apocalyptic number.

159000457434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159000457434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204774334464).

159000457434 is an abundant number, since it is smaller than the sum of its proper divisors (250548211494).

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

159000457434 is a wasteful number, since it uses less digits than its factorization.

159000457434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128812.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 159000457434 in words is "one hundred fifty-nine billion, four hundred fifty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 73 78 91 93 146 182 186 217 219 273 403 434 438 511 546 651 806 949 1022 1209 1302 1533 1898 2263 2418 2821 2847 3066 4526 5642 5694 6643 6789 8463 13286 13578 15841 16926 19929 29419 31682 39858 47523 58838 88257 95046 128683 176514 205933 257366 386049 411866 617799 772098 900781 1235598 1672879 1801562 2702343 3345758 3989173 5018637 5404686 7978346 9393859 10037274 11710153 11967519 18787718 23420306 23935038 27924211 28181577 35130459 51859249 55848422 56363154 65757013 70260918 83772633 103718498 122120167 131514026 155577747 167545266 197271039 244240334 291209629 311155494 363014743 366360501 394542078 582419258 726029486 732721002 854841169 873628887 1089044229 1709682338 1747257774 2038467403 2178088458 2564523507 3785725177 4076934806 5129047014 6115402209 7571450354 11357175531 12230804418 22714351062 26500076239 53000152478 79500228717 159000457434