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14140607364 = 22321371425563
BaseRepresentation
bin11010010101101100…
…01000101110000100
31100111111001021121200
431022312020232010
5212424443413424
610255054142500
71010263115352
oct151266105604
940444037550
1014140607364
115aa7005674
1228a77b1a30
13144479c7c0
149820387d2
1557b6598c9
hex34ad88b84

14140607364 has 72 divisors (see below), whose sum is σ = 39036134592. Its totient is φ = 4289664960.

The previous prime is 14140607359. The next prime is 14140607399. The reversal of 14140607364 is 46370604141.

14140607364 is a `hidden beast` number, since 1 + 4 + 1 + 40 + 607 + 3 + 6 + 4 = 666.

It is a super-3 number, since 3×141406073643 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179554 + ... + 246009.

It is an arithmetic number, because the mean of its divisors is an integer number (542168536).

Almost surely, 214140607364 is an apocalyptic number.

It is an amenable number.

14140607364 is an abundant number, since it is smaller than the sum of its proper divisors (24895527228).

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

14140607364 is a wasteful number, since it uses less digits than its factorization.

14140607364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425657 (or 425652 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14140607364 in words is "fourteen billion, one hundred forty million, six hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 425563 851126 1276689 1702252 2553378 3830067 5106756 5532319 7660134 11064638 15320268 16596957 22129276 30214973 33193914 49790871 60429946 66387828 90644919 99581742 120859892 181289838 199163484 271934757 362579676 392794649 543869514 785589298 1087739028 1178383947 1571178596 2356767894 3535151841 4713535788 7070303682 14140607364