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1440257868 = 223371939871
BaseRepresentation
bin101010111011000…
…1001011101001100
310201101002200101000
41111312021131030
510422201222433
6354525420300
750455663350
oct12566113514
93641080330
101440257868
11679a96065
1234240a690
1319c5057ba
14d93d1460
1586698113
hex55d8974c

1440257868 has 96 divisors (see below), whose sum is σ = 4289976320. Its totient is φ = 409328640.

The previous prime is 1440257857. The next prime is 1440257911. The reversal of 1440257868 is 8687520441.

1440257868 is a `hidden beast` number, since 14 + 4 + 0 + 2 + 578 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140973 + ... + 150843.

Almost surely, 21440257868 is an apocalyptic number.

1440257868 is a gapful number since it is divisible by the number (18) 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 1440257868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144988160).

1440257868 is an abundant number, since it is smaller than the sum of its proper divisors (2849718452).

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

1440257868 is a wasteful number, since it uses less digits than its factorization.

1440257868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1440257868 is about 37950.7294791549. The cubic root of 1440257868 is about 1129.3106370448.

The spelling of 1440257868 in words is "one billion, four hundred forty million, two hundred fifty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 772 1158 1351 1737 2316 2702 3474 4053 5211 5404 6948 8106 9871 10422 12159 16212 19742 20844 24318 29613 36477 39484 48636 59226 69097 72954 88839 118452 138194 145908 177678 207291 266517 276388 355356 414582 533034 621873 829164 1066068 1243746 1865619 1905103 2487492 3731238 3810206 5715309 7462476 7620412 11430618 13335721 17145927 22861236 26671442 34291854 40007163 51437781 53342884 68583708 80014326 102875562 120021489 160028652 205751124 240042978 360064467 480085956 720128934 1440257868