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23104434440412 = 2232132310871974659
BaseRepresentation
bin1010100000011011010111…
…00110111000100011011100
310000210202120202120001000100
411100031223212320203130
511012020340204043122
6121050010342101100
74603145265254133
oct520155346704334
9100722522501010
1023104434440412
1173a8598a015a6
12271196441a790
13cb797b2544c0
1459c3910d691a
152a0eecca2aac
hex15036b9b88dc

23104434440412 has 144 divisors (see below), whose sum is σ = 65690398126080. Its totient is φ = 6793708166784.

The previous prime is 23104434440383. The next prime is 23104434440429. The reversal of 23104434440412 is 21404443440132.

23104434440412 is a `hidden beast` number, since 23 + 104 + 43 + 44 + 40 + 412 = 666.

It is a super-2 number, since 2×231044344404122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713139 + ... + 12687797.

It is an arithmetic number, because the mean of its divisors is an integer number (456183320320).

Almost surely, 223104434440412 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 23104434440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845199063040).

23104434440412 is an abundant number, since it is smaller than the sum of its proper divisors (42585963685668).

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

23104434440412 is a wasteful number, since it uses less digits than its factorization.

23104434440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975792 (or 1975787 counting only the distinct ones).

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

Adding to 23104434440412 its reverse (21404443440132), we get a palindrome (44508877880544).

The spelling of 23104434440412 in words is "twenty-three trillion, one hundred four billion, four hundred thirty-four million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1087 1196 1794 2174 2691 3261 3588 4348 5382 6522 9783 10764 13044 14131 19566 25001 28262 39132 42393 50002 56524 75003 84786 100004 127179 150006 169572 225009 254358 300012 325013 450018 508716 650026 900036 975039 1300052 1950078 1974659 2925117 3900156 3949318 5850234 5923977 7898636 11700468 11847954 17771931 23695908 25670567 35543862 45417157 51341134 71087724 77011701 90834314 102682268 136251471 154023402 181668628 231035103 272502942 308046804 408754413 462070206 545005884 590423041 817508826 924140412 1180846082 1635017652 1771269123 2146454333 2361692164 3542538246 4292908666 5313807369 6439362999 7085076492 8585817332 10627614738 12878725998 19318088997 21255229476 25757451996 27903906329 38636177994 49368449659 55807812658 77272355988 83711718987 98736899318 111615625316 148105348977 167423437974 197473798636 251135156961 296210697954 334846875948 444316046931 502270313922 592421395908 641789845567 888632093862 1004540627844 1283579691134 1777264187724 1925369536701 2567159382268 3850739073402 5776108610103 7701478146804 11552217220206 23104434440412