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1402985664 = 26332927997
BaseRepresentation
bin101001110011111…
…1101110011000000
310121202222001112000
41103213331303000
510333131020124
6351114504000
746524116133
oct12347756300
93552861460
101402985664
1165aa48993
12331a35000
13194885742
14d448c21a
15832846c9
hex539fdcc0

1402985664 has 112 divisors (see below), whose sum is σ = 4266895200. Its totient is φ = 451519488.

The previous prime is 1402985659. The next prime is 1402985677. The reversal of 1402985664 is 4665892041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36114 + ... + 64110.

Almost surely, 21402985664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133447600).

1402985664 is an abundant number, since it is smaller than the sum of its proper divisors (2863909536).

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

1402985664 is a wasteful number, since it uses less digits than its factorization.

1402985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1402985664 is about 37456.4502322364. The cubic root of 1402985664 is about 1119.4836225043.

The spelling of 1402985664 in words is "one billion, four hundred two million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 16704 25056 27997 50112 55994 83991 111988 167982 223976 251973 335964 447952 503946 671928 755919 811913 895904 1007892 1343856 1511838 1623826 1791808 2015784 2435739 2687712 3023676 3247652 4031568 4871478 5375424 6047352 6495304 7307217 8063136 9742956 12094704 12990608 14614434 16126272 19485912 21921651 24189408 25981216 29228868 38971824 43843302 48378816 51962432 58457736 77943648 87686604 116915472 155887296 175373208 233830944 350746416 467661888 701492832 1402985664