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153407011044 = 22374327011409
BaseRepresentation
bin1000111011011111000…
…1010011100011100100
3112122222012100121101210
42032313301103203210
510003134143323134
6154250232351420
714040366036030
oct2166761234344
9478865317353
10153407011044
115a072292a61
1225893845570
131160a38b521
1475d40651c0
153eccc6e2e9
hex23b7c538e4

153407011044 has 144 divisors (see below), whose sum is σ = 419715354240. Its totient is φ = 42719846400.

The previous prime is 153407011033. The next prime is 153407011133. The reversal of 153407011044 is 440110704351.

It is a super-2 number, since 2×1534070110442 (a number of 23 digits) contains 22 as substring.

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, 108875812 + ... + 108877220.

It is an arithmetic number, because the mean of its divisors is an integer number (2914689960).

Almost surely, 2153407011044 is an apocalyptic number.

153407011044 is a gapful number since it is divisible by the number (14) 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 153407011044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209857677120).

153407011044 is an abundant number, since it is smaller than the sum of its proper divisors (266308343196).

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

153407011044 is a wasteful number, since it uses less digits than its factorization.

153407011044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 153407011044 its reverse (440110704351), we get a palindrome (593517715395).

The spelling of 153407011044 in words is "one hundred fifty-three billion, four hundred seven million, eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 701 903 1204 1402 1409 1806 1849 2103 2804 2818 3612 3698 4206 4227 4907 5547 5636 7396 8412 8454 9814 9863 11094 12943 14721 16908 19628 19726 22188 25886 29442 29589 30143 38829 39452 51772 58884 59178 60286 60587 77658 90429 118356 120572 121174 155316 180858 181761 211001 242348 361716 363522 422002 424109 633003 727044 844004 848218 987709 1266006 1272327 1296149 1696436 1975418 2532012 2544654 2592298 2605241 2963127 3888447 3950836 5089308 5184596 5210482 5926254 6913963 7776894 7815723 9073043 10420964 11852508 13827926 15553788 15631446 18146086 18236687 20741889 27219129 27655852 31262892 36292172 36473374 41483778 42471487 54438258 54710061 72946748 82967556 84942974 108876516 109420122 127414461 169885948 218840244 254828922 297300409 509657844 594600818 891901227 1189201636 1783802454 1826273941 3567604908 3652547882 5478821823 7305095764 10957643646 12783917587 21915287292 25567835174 38351752761 51135670348 76703505522 153407011044