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151255553440 = 2554123057249
BaseRepresentation
bin1000110011011110001…
…0001001010110100000
3112110102021000020101211
42030313202021112200
54434232410202230
6153252535235504
713633152663625
oct2146742112640
9473367006354
10151255553440
11591688a9022
1225393218b94
13113567249a4
14746c42234c
153e03e4042a
hex23378895a0

151255553440 has 48 divisors (see below), whose sum is σ = 366056901000. Its totient is φ = 59026554880.

The previous prime is 151255553417. The next prime is 151255553441. The reversal of 151255553440 is 44355552151.

It can be written as a sum of positive squares in 4 ways, for example, as 122839034256 + 28416519184 = 350484^2 + 168572^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 151255553393 and 151255553402.

It is not an unprimeable number, because it can be changed into a prime (151255553441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11522065 + ... + 11535184.

Almost surely, 2151255553440 is an apocalyptic number.

151255553440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151255553440 is an abundant number, since it is smaller than the sum of its proper divisors (214801347560).

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

151255553440 is a wasteful number, since it uses less digits than its factorization.

151255553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23057305 (or 23057297 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 40.

The spelling of 151255553440 in words is "one hundred fifty-one billion, two hundred fifty-five million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 23057249 46114498 92228996 115286245 184457992 230572490 368915984 461144980 737831968 922289960 945347209 1844579920 1890694418 3689159840 3781388836 4726736045 7562777672 9453472090 15125555344 18906944180 30251110688 37813888360 75627776720 151255553440