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245315602440 = 23325681432229
BaseRepresentation
bin1110010001110111110…
…0110000100000001000
3212110012110120210201100
43210131330300200020
513004401243234230
6304410232421400
723503102134006
oct3443574604010
9773173523640
10245315602440
1195046298007
123b663847860
131a196731a0c
14bc32625a76
1565ab954660
hex391df30808

245315602440 has 48 divisors (see below), whose sum is σ = 797275709100. Its totient is φ = 65417493888.

The previous prime is 245315602409. The next prime is 245315602447. The reversal of 245315602440 is 44206513542.

245315602440 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 1 + 5 + 602 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232137021636 + 13178580804 = 481806^2 + 114798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245315602395 and 245315602404.

It is not an unprimeable number, because it can be changed into a prime (245315602447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340715755 + ... + 340716474.

Almost surely, 2245315602440 is an apocalyptic number.

245315602440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245315602440 is an abundant number, since it is smaller than the sum of its proper divisors (551960106660).

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

245315602440 is a wasteful number, since it uses less digits than its factorization.

245315602440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681432246 (or 681432239 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 245315602440 in words is "two hundred forty-five billion, three hundred fifteen million, six hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 681432229 1362864458 2044296687 2725728916 3407161145 4088593374 5451457832 6132890061 6814322290 8177186748 10221483435 12265780122 13628644580 16354373496 20442966870 24531560244 27257289160 30664450305 40885933740 49063120488 61328900610 81771867480 122657801220 245315602440