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13999039680 = 263516199007
BaseRepresentation
bin11010000100110100…
…00110010011000000
31100010121122220021010
431002122012103000
5212132223232210
610233040000520
71003623605523
oct150232062300
940117586233
1013999039680
115a3410278a
122868300140
131421363a42
1496b306bba
1556dee3920
hex3426864c0

13999039680 has 112 divisors (see below), whose sum is σ = 44479342080. Its totient is φ = 3730357248.

The previous prime is 13999039679. The next prime is 13999039699. The reversal of 13999039680 is 8693099931.

It is a super-2 number, since 2×139990396802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13999039680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549737 + ... + 1558743.

Almost surely, 213999039680 is an apocalyptic number.

13999039680 is a gapful number since it is divisible by the number (10) 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 13999039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239671040).

13999039680 is an abundant number, since it is smaller than the sum of its proper divisors (30480302400).

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

13999039680 is a wasteful number, since it uses less digits than its factorization.

13999039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 57.

The spelling of 13999039680 in words is "thirteen billion, nine hundred ninety-nine million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1619 3238 4857 6476 8095 9007 9714 12952 16190 18014 19428 24285 25904 27021 32380 36028 38856 45035 48570 51808 54042 64760 72056 77712 90070 97140 103616 108084 129520 135105 144112 155424 180140 194280 216168 259040 270210 288224 310848 360280 388560 432336 518080 540420 576448 720560 777120 864672 1080840 1441120 1554240 1729344 2161680 2882240 4323360 8646720 14582333 29164666 43746999 58329332 72911665 87493998 116658664 145823330 174987996 218734995 233317328 291646660 349975992 437469990 466634656 583293320 699951984 874939980 933269312 1166586640 1399903968 1749879960 2333173280 2799807936 3499759920 4666346560 6999519840 13999039680