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1053110304432 = 243219537262429
BaseRepresentation
bin11110101001100100100…
…00111111111010110000
310201200021001211102200100
433110302100333322300
5114223232214220212
62123443040352400
7136041024614514
oct17246220777260
93650231742610
101053110304432
1137669234877a
12150124615700
1378400530894
1438d83c94144
151c5d91dcbdc
hexf53243feb0

1053110304432 has 120 divisors (see below), whose sum is σ = 3160900033200. Its totient is φ = 326286365184.

The previous prime is 1053110304403. The next prime is 1053110304469. The reversal of 1053110304432 is 2344030113501.

It is a happy number.

1053110304432 is a `hidden beast` number, since 1 + 0 + 5 + 311 + 0 + 304 + 43 + 2 = 666.

It is a super-2 number, since 2×10531103044322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053110304396 and 1053110304405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3486207 + ... + 3776222.

It is an arithmetic number, because the mean of its divisors is an integer number (26340833610).

Almost surely, 21053110304432 is an apocalyptic number.

1053110304432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053110304432 is an abundant number, since it is smaller than the sum of its proper divisors (2107789728768).

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

1053110304432 is a wasteful number, since it uses less digits than its factorization.

1053110304432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262515 (or 7262506 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1053110304432 its reverse (2344030113501), we get a palindrome (3397140417933).

The spelling of 1053110304432 in words is "one trillion, fifty-three billion, one hundred ten million, three hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3816 4028 6042 7632 8056 9063 12084 16112 18126 24168 36252 48336 72504 145008 7262429 14524858 21787287 29049716 43574574 58099432 65361861 87149148 116198864 130723722 137986151 174298296 261447444 275972302 348596592 384908737 413958453 522894888 551944604 769817474 827916906 1045789776 1103889208 1154726211 1241875359 1539634948 1655833812 2207778416 2309452422 2483750718 3079269896 3311667624 3464178633 4618904844 4967501436 6158539792 6623335248 6928357266 7313266003 9237809688 9935002872 13856714532 14626532006 18475619376 19870005744 21939798009 27713429064 29253064012 43879596018 55426858128 58506128024 65819394027 87759192036 117012256048 131638788054 175518384072 263277576108 351036768144 526555152216 1053110304432