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151031024144 = 24711139430009
BaseRepresentation
bin1000110010101000100…
…1101000101000010000
3112102211121111222002222
42030222021220220100
54433302420233034
6153214355000212
713624455344360
oct2145211505020
9472747458088
10151031024144
1159063091920
122532bb99068
131131c05c810
14744a6969a0
153dde38d12e
hex232a268a10

151031024144 has 80 divisors (see below), whose sum is σ = 392891936640. Its totient is φ = 54316846080.

The previous prime is 151031024143. The next prime is 151031024159. The reversal of 151031024144 is 441420130151.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (151031024143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4698989 + ... + 4731020.

It is an arithmetic number, because the mean of its divisors is an integer number (4911149208).

Almost surely, 2151031024144 is an apocalyptic number.

151031024144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151031024144 is an abundant number, since it is smaller than the sum of its proper divisors (241860912496).

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

151031024144 is a wasteful number, since it uses less digits than its factorization.

151031024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430048 (or 9430042 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 151031024144 its reverse (441420130151), we get a palindrome (592451154295).

The spelling of 151031024144 in words is "one hundred fifty-one billion, thirty-one million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 9430009 18860018 37720036 66010063 75440072 103730099 122590117 132020126 150880144 207460198 245180234 264040252 414920396 490360468 528080504 726110693 829840792 858130819 980720936 1056161008 1348491287 1452221386 1659681584 1716261638 1961441872 2696982574 2904442772 3432523276 5393965148 5808885544 6865046552 9439439009 10787930296 11617771088 13730093104 18878878018 21575860592 37757756036 75515512072 151031024144