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23101455504144 = 2432928193763031
BaseRepresentation
bin1010100000010101110100…
…00011001001001100010000
310000210110220011011101200110
411100022322003021030100
511011443240102113034
6121044355005121320
74603011413600553
oct520127203111420
9100713804141613
1023101455504144
1173a72aa4186a6
122711272859240
13cb75c5036614
1459c18b61469a
152a0dc64bede9
hex1502ba0c9310

23101455504144 has 160 divisors (see below), whose sum is σ = 62023457744640. Its totient is φ = 7400468275200.

The previous prime is 23101455504143. The next prime is 23101455504221. The reversal of 23101455504144 is 44140555410132.

It is a super-2 number, since 2×231014555041442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23101455504143) 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, 366477909 + ... + 366540939.

It is an arithmetic number, because the mean of its divisors is an integer number (387646610904).

Almost surely, 223101455504144 is an apocalyptic number.

23101455504144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23101455504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31011728872320).

23101455504144 is an abundant number, since it is smaller than the sum of its proper divisors (38922002240496).

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

23101455504144 is a wasteful number, since it uses less digits than its factorization.

23101455504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64289 (or 64283 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 23101455504144 in words is "twenty-three trillion, one hundred one billion, four hundred fifty-five million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 281 348 464 562 696 843 937 1124 1392 1686 1874 2248 2811 3372 3748 4496 5622 6744 7496 8149 11244 13488 14992 16298 22488 24447 27173 32596 44976 48894 54346 63031 65192 81519 97788 108692 126062 130384 163038 189093 195576 217384 252124 263297 326076 378186 391152 434768 504248 526594 652152 756372 789891 1008496 1053188 1304304 1512744 1579782 1827899 2106376 3025488 3159564 3655798 4212752 5483697 6319128 7311596 7635613 10967394 12638256 14623192 15271226 17711711 21934788 22906839 29246384 30542452 35423422 43869576 45813678 53135133 59060047 61084904 70846844 87739152 91627356 106270266 118120094 122169808 141693688 177180141 183254712 212540532 236240188 283387376 354360282 366509424 425081064 472480376 513639619 708720564 850162128 944960752 1027279238 1417441128 1540918857 1712741363 2054558476 2834882256 3081837714 3425482726 4109116952 5138224089 6163675428 6850965452 8218233904 10276448178 12327350856 13701930904 16595873207 20552896356 24654701712 27403861808 33191746414 41105792712 49787619621 66383492828 82211585424 99575239242 132766985656 199150478484 265533971312 398300956968 481280323003 796601913936 962560646006 1443840969009 1925121292012 2887681938018 3850242584024 5775363876036 7700485168048 11550727752072 23101455504144