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13857783940 = 22571121362927
BaseRepresentation
bin11001110011111110…
…10000000010000100
31022202202212100211001
430321333100002010
5211340043041230
610211032223044
71000260135310
oct147177200204
938682770731
1013857783940
1159713a3200
122828b3aa84
1313cb006c70
14956656b40
155618e00ca
hex339fd0084

13857783940 has 144 divisors (see below), whose sum is σ = 39369770496. Its totient is φ = 3986991360.

The previous prime is 13857783923. The next prime is 13857783983. The reversal of 13857783940 is 4938775831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188757 + ... + 251683.

It is an arithmetic number, because the mean of its divisors is an integer number (273401184).

Almost surely, 213857783940 is an apocalyptic number.

13857783940 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 13857783940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684885248).

13857783940 is an abundant number, since it is smaller than the sum of its proper divisors (25511986556).

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

13857783940 is a wasteful number, since it uses less digits than its factorization.

13857783940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62978 (or 62965 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

It can be divided in two parts, 13857 and 783940, that added together give a palindrome (797797).

The spelling of 13857783940 in words is "thirteen billion, eight hundred fifty-seven million, seven hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 62927 110110 125854 220220 251708 314635 440489 629270 692197 818051 880978 1258540 1384394 1636102 1761956 2202445 2768788 3272204 3460985 4090255 4404890 4845379 5726357 6921970 7614167 8180510 8809780 8998561 9690758 11452714 13843940 15228334 16361020 17997122 19381516 22905428 24226895 28631785 30456668 35994244 38070835 44992805 48453790 53299169 57263570 62989927 76141670 89985610 96907580 98984171 106598338 114527140 125979854 152283340 179971220 197968342 213196676 251959708 266495845 314949635 395936684 494920855 532991690 629899270 692889197 989841710 1065983380 1259798540 1385778394 1979683420 2771556788 3464445985 6928891970 13857783940