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151442012520 = 233251932179649
BaseRepresentation
bin1000110100001010100…
…1011011100101101000
3112110220020212100011200
42031002221123211220
54440123123400040
6153323235524200
713640605603251
oct2150251334550
9473806770150
10151442012520
1159254082537
1225425759660
131138624a7c6
1474890bbb28
153e154c2630
hex2342a5b968

151442012520 has 96 divisors (see below), whose sum is σ = 494736957000. Its totient is φ = 40175271936.

The previous prime is 151442012497. The next prime is 151442012581. The reversal of 151442012520 is 25210244151.

It is a happy number.

151442012520 is a `hidden beast` number, since 1 + 514 + 4 + 2 + 0 + 125 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60065186724 + 91376825796 = 245082^2 + 302286^2 .

It is a super-2 number, since 2×1514420125202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020345 + ... + 1159304.

Almost surely, 2151442012520 is an apocalyptic number.

151442012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151442012520 is an abundant number, since it is smaller than the sum of its proper divisors (343294944480).

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

151442012520 is a wasteful number, since it uses less digits than its factorization.

151442012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179859 (or 2179852 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 151442012520 its reverse (25210244151), we get a palindrome (176652256671).

The spelling of 151442012520 in words is "one hundred fifty-one billion, four hundred forty-two million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 772 965 1158 1544 1737 1930 2316 2895 3474 3860 4632 5790 6948 7720 8685 11580 13896 17370 23160 34740 69480 2179649 4359298 6538947 8718596 10898245 13077894 17437192 19616841 21796490 26155788 32694735 39233682 43592980 52311576 65389470 78467364 87185960 98084205 130778940 156934728 196168410 261557880 392336820 420672257 784673640 841344514 1262016771 1682689028 2103361285 2524033542 3365378056 3786050313 4206722570 5048067084 6310083855 7572100626 8413445140 10096134168 12620167710 15144201252 16826890280 18930251565 25240335420 30288402504 37860503130 50480670840 75721006260 151442012520