Search a number
-
+
315042263434056 = 2333721114331173349
BaseRepresentation
bin100011110100001110111111…
…0001100111000001101001000
31112022110202011000101212102010
41013220131332030320031020
5312243123023414342211
63034012230125535520
7123234023656145454
oct10750357614701510
91468422130355363
10315042263434056
11914227456345a4
122b4013747145a0
13106a34865b8532
1457b21ac349664
152664e8b5574a6
hex11e877e338348

315042263434056 has 128 divisors (see below), whose sum is σ = 813293753904000. Its totient is φ = 101620572641280.

The previous prime is 315042263434051. The next prime is 315042263434097. The reversal of 315042263434056 is 650434362240513.

It is a super-2 number, since 2×3150422634340562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315042263433996 and 315042263434014.

It is not an unprimeable number, because it can be changed into a prime (315042263434051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267911670 + ... + 269085018.

It is an arithmetic number, because the mean of its divisors is an integer number (6353857452375).

Almost surely, 2315042263434056 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 315042263434056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406646876952000).

315042263434056 is an abundant number, since it is smaller than the sum of its proper divisors (498251490469944).

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

315042263434056 is a wasteful number, since it uses less digits than its factorization.

315042263434056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175039 (or 1175035 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 315042263434056 in words is "three hundred fifteen trillion, forty-two billion, two hundred sixty-three million, four hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 211 222 296 422 444 633 844 888 1266 1433 1688 2532 2866 4299 5064 5732 7807 8598 11464 15614 17196 23421 31228 34392 46842 53021 62456 93684 106042 159063 187368 212084 302363 318126 424168 604726 636252 907089 1173349 1209452 1272504 1814178 2346698 2418904 3520047 3628356 4693396 7040094 7256712 9386792 11187431 14080188 22374862 28160376 33562293 43413913 44749724 67124586 86827826 89499448 130241739 134249172 173655652 247576639 260483478 268498344 347311304 495153278 520966956 742729917 990306556 1041933912 1485459834 1681409117 1980613112 2970919668 3362818234 5044227351 5941839336 6725636468 9160335643 10088454702 13451272936 18320671286 20176909404 27481006929 36641342572 40353818808 54962013858 62212137329 73282685144 109924027716 124424274658 186636411987 219848055432 248848549316 354777323687 373272823974 497697098632 709554647374 746545647948 1064331971061 1419109294748 1493091295896 2128663942122 2838218589496 4257327884244 8514655768488 13126760976419 26253521952838 39380282929257 52507043905676 78760565858514 105014087811352 157521131717028 315042263434056