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151531902440 = 23517941236813
BaseRepresentation
bin1000110100100000000…
…0010101010111101000
3112111010112000012221222
42031020000111113220
54440314131334230
6153340210321212
713643046630062
oct2151000252750
9474115005858
10151531902440
115929a899126
122544b889208
131139ba615c9
147496dda732
153e1d32b6e5
hex23480155e8

151531902440 has 64 divisors (see below), whose sum is σ = 361387636560. Its totient is φ = 56986439680.

The previous prime is 151531902427. The next prime is 151531902443. The reversal of 151531902440 is 44209135151.

It can be written as a sum of positive squares in 8 ways, for example, as 129264697156 + 22267205284 = 359534^2 + 149222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151531902440.

It is not an unprimeable number, because it can be changed into a prime (151531902443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521474 + ... + 758286.

Almost surely, 2151531902440 is an apocalyptic number.

151531902440 is a gapful number since it is divisible by the number (10) 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 151531902440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180693818280).

151531902440 is an abundant number, since it is smaller than the sum of its proper divisors (209855734120).

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

151531902440 is a wasteful number, since it uses less digits than its factorization.

151531902440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237782 (or 237778 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 151531902440 in words is "one hundred fifty-one billion, five hundred thirty-one million, nine hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 941 1882 3764 4705 7528 9410 15997 18820 31994 37640 63988 79985 127976 159970 236813 319940 473626 639880 947252 1184065 1894504 2368130 4025821 4736260 8051642 9472520 16103284 20129105 32206568 40258210 80516420 161032840 222841033 445682066 891364132 1114205165 1782728264 2228410330 3788297561 4456820660 7576595122 8913641320 15153190244 18941487805 30306380488 37882975610 75765951220 151531902440