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151030631840 = 2551127801169
BaseRepresentation
bin1000110010101000100…
…0001000110110100000
3112102211120210000222012
42030222020020312200
54433302320204330
6153214342332052
713624452121544
oct2145210106640
9472746700865
10151030631840
1159062944100
122532ba2a028
131131bc5309a
14744a5d3a24
153dde311c95
hex232a208da0

151030631840 has 72 divisors (see below), whose sum is σ = 392196020580. Its totient is φ = 54920222720.

The previous prime is 151030631833. The next prime is 151030631849. The reversal of 151030631840 is 48136030151.

It can be written as a sum of positive squares in 2 ways, for example, as 142089794704 + 8940837136 = 376948^2 + 94556^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 151030631797 and 151030631806.

It is not an unprimeable number, because it can be changed into a prime (151030631849) 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 11 ways as a sum of consecutive naturals, for example, 3881225 + ... + 3919944.

Almost surely, 2151030631840 is an apocalyptic number.

151030631840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151030631840 is an abundant number, since it is smaller than the sum of its proper divisors (241165388740).

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

151030631840 is a wasteful number, since it uses less digits than its factorization.

151030631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801206 (or 7801187 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 151030631840 its reverse (48136030151), we get a palindrome (199166661991).

The spelling of 151030631840 in words is "one hundred fifty-one billion, thirty million, six hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 7801169 15602338 31204676 39005845 62409352 78011690 85812859 124818704 156023380 171625718 249637408 312046760 343251436 429064295 624093520 686502872 858128590 943941449 1248187040 1373005744 1716257180 1887882898 2746011488 3432514360 3775765796 4719707245 6865028720 7551531592 9439414490 13730057440 15103063184 18878828980 30206126368 37757657960 75515315920 151030631840