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23114255354232 = 23371671633950423
BaseRepresentation
bin1010100000101101101001…
…11110101100100101111000
310000211200221012100011002020
411100112310332230211320
511012200443332313412
6121054313050234440
74603643536535010
oct520266476544570
9100750835304066
1023114255354232
1174017786184a9
122713845425a20
13cb8884acaa03
1459ca4355cc40
152a13c508818c
hex1505b4fac978

23114255354232 has 128 divisors (see below), whose sum is σ = 66441566822400. Its totient is φ = 6563995659648.

The previous prime is 23114255354191. The next prime is 23114255354257. The reversal of 23114255354232 is 23245355241132.

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

It is a congruent number.

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, 458381773 + ... + 458432195.

It is an arithmetic number, because the mean of its divisors is an integer number (519074740800).

Almost surely, 223114255354232 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 23114255354232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33220783411200).

23114255354232 is an abundant number, since it is smaller than the sum of its proper divisors (43327311468168).

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

23114255354232 is a wasteful number, since it uses less digits than its factorization.

23114255354232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66945 (or 66941 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 23114255354232 in words is "twenty-three trillion, one hundred fourteen billion, two hundred fifty-five million, three hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 4008 4676 7014 9352 14028 16339 28056 32678 49017 50423 65356 98034 100846 114373 130712 151269 196068 201692 228746 302538 343119 352961 392136 403384 457492 605076 686238 705922 914984 1058883 1210152 1372476 1411844 2117766 2728613 2744952 2823688 4235532 5457226 8185839 8420641 8471064 10914452 16371678 16841282 19100291 21828904 25261923 32743356 33682564 38200582 50523846 57300873 58944487 65486712 67365128 76401164 101047692 114601746 117888974 152802328 176833461 202095384 229203492 235777948 353666922 458406984 471555896 707333844 823861397 1414667688 1647722794 2471584191 3295445588 4943168382 5767029779 6590891176 9886336764 11534059558 17301089337 19772673528 23068119116 34602178674 46136238232 69204357348 137584853299 138408714696 275169706598 412754559897 550339413196 825509119794 963093973093 1100678826392 1651018239588 1926187946186 2889281919279 3302036479176 3852375892372 5778563838558 7704751784744 11557127677116 23114255354232