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23145322215104 = 2643251265712611
BaseRepresentation
bin1010100001100111100001…
…01101010111011011000000
310000221200010022010012102222
411100303300231113123000
511013203104441340404
6121120451513030212
74606123442515265
oct520636055273300
9100850108105388
1023145322215104
11741396aaa1931
1227198756b5368
13cbb79620ca1b
145a034d55b26c
152a20e269ddbe
hex150cf0b576c0

23145322215104 has 112 divisors (see below), whose sum is σ = 47205855962496. Its totient is φ = 11253365760000.

The previous prime is 23145322215053. The next prime is 23145322215133. The reversal of 23145322215104 is 40151222354132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835321759 + ... + 1835334369.

It is an arithmetic number, because the mean of its divisors is an integer number (421480856808).

Almost surely, 223145322215104 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 23145322215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23602927981248).

23145322215104 is an abundant number, since it is smaller than the sum of its proper divisors (24060533747392).

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

23145322215104 is a wasteful number, since it uses less digits than its factorization.

23145322215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 23145322215104 its reverse (40151222354132), we get a palindrome (63296544569236).

The spelling of 23145322215104 in words is "twenty-three trillion, one hundred forty-five billion, three hundred twenty-two million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 172 251 344 502 688 1004 1376 2008 2657 2752 4016 5314 8032 10628 10793 12611 16064 21256 21586 25222 42512 43172 50444 85024 86344 100888 114251 170048 172688 201776 228502 345376 403552 457004 542273 666907 690752 807104 914008 1084546 1333814 1828016 2169092 2667628 3165361 3656032 4338184 5335256 6330722 7312064 8676368 10670512 12661444 17352736 21341024 25322888 28677001 33507427 34705472 42682048 50645776 57354002 67014854 101291552 114708004 134029708 136110523 202583104 229416008 268059416 272221046 458832016 536118832 544442092 917664032 1072237664 1088884184 1440819361 1835328064 2144475328 2177768368 2881638722 4355536736 5763277444 8410364177 8711073472 11526554888 16820728354 23053109776 33641456708 46106219552 67282913416 92212439104 134565826832 269131653664 361645659611 538263307328 723291319222 1446582638444 2893165276888 5786330553776 11572661107552 23145322215104