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23124422442132 = 223211509911125933
BaseRepresentation
bin1010100001000000100101…
…11111000011110010010100
310000212200011202111201201100
411100200102333003302110
511012332304121122012
6121103114002230100
74604453513416464
oct520402277036224
9100780152451640
1023124422442132
117406015686090
122715802355330
13cb98152bab5b
1459d329977ba4
152a17bc94d8dc
hex150812fc3c94

23124422442132 has 144 divisors (see below), whose sum is σ = 63963268911360. Its totient is φ = 6985901395200.

The previous prime is 23124422442103. The next prime is 23124422442197.

23124422442132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 4 + 4 + 224 + 421 + 3 + 2 = 666.

23124422442132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183561838 + ... + 183687770.

It is an arithmetic number, because the mean of its divisors is an integer number (444189367440).

Almost surely, 223124422442132 is an apocalyptic number.

23124422442132 is a gapful number since it is divisible by the number (22) 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 23124422442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981634455680).

23124422442132 is an abundant number, since it is smaller than the sum of its proper divisors (40838846469228).

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

23124422442132 is a wasteful number, since it uses less digits than its factorization.

23124422442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127374 (or 127369 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2312442 and 2442132, that added together give a palindrome (4754574).

The spelling of 23124422442132 in words is "twenty-three trillion, one hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 509 911 1018 1527 1822 2036 2733 3054 3644 4581 5466 5599 6108 8199 9162 10021 10932 11198 16398 16797 18324 20042 22396 30063 32796 33594 40084 50391 60126 67188 90189 100782 120252 125933 180378 201564 251866 360756 377799 463699 503732 755598 927398 1133397 1385263 1391097 1511196 1854796 2266794 2770526 2782194 4155789 4173291 4533588 5100689 5541052 5564388 8311578 8346582 10201378 12467367 15302067 16623156 16693164 20402756 24934734 30604134 45906201 49869468 61208268 64099897 91812402 114724963 128199794 183624804 192299691 229449926 256399588 344174889 384599382 458899852 576899073 688349778 705098867 769198764 1032524667 1153798146 1261974593 1376699556 1410197734 2065049334 2115296601 2307596292 2523949186 2820395468 3785923779 4130098668 4230593202 5047898372 6345889803 7571847558 8461186404 11357771337 12691779606 15143695116 22715542674 25383559212 45431085348 58395006167 116790012334 175185018501 233580024668 350370037002 525555055503 642345067837 700740074004 1051110111006 1284690135674 1927035203511 2102220222012 2569380271348 3854070407022 5781105610533 7708140814044 11562211221066 23124422442132