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13939282320 = 2435377122109
BaseRepresentation
bin11001111101101100…
…01001000110010000
31022222110012220120120
430332312021012100
5212021424013240
610223103110240
71002266642025
oct147666110620
938873186516
1013939282320
115a033a8137
1228502a2380
131411b70362
149633cd54c
15568b3cad0
hex33ed89190

13939282320 has 160 divisors (see below), whose sum is σ = 45006762240. Its totient is φ = 3565578240.

The previous prime is 13939282309. The next prime is 13939282327. The reversal of 13939282320 is 2328293931.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13939282327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619426 + ... + 641534.

It is an arithmetic number, because the mean of its divisors is an integer number (281292264).

Almost surely, 213939282320 is an apocalyptic number.

13939282320 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 13939282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503381120).

13939282320 is an abundant number, since it is smaller than the sum of its proper divisors (31067479920).

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

13939282320 is a wasteful number, since it uses less digits than its factorization.

13939282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233 (or 22227 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 13939282320 in words is "thirteen billion, nine hundred thirty-nine million, two hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 71 74 80 111 120 142 148 185 213 222 240 284 296 355 370 426 444 555 568 592 710 740 852 888 1065 1110 1136 1420 1480 1704 1776 2130 2220 2627 2840 2960 3408 4260 4440 5254 5680 7881 8520 8880 10508 13135 15762 17040 21016 22109 26270 31524 39405 42032 44218 52540 63048 66327 78810 88436 105080 110545 126096 132654 157620 176872 210160 221090 265308 315240 331635 353744 442180 530616 630480 663270 818033 884360 1061232 1326540 1569739 1636066 1768720 2454099 2653080 3139478 3272132 4090165 4709217 4908198 5306160 6278956 6544264 7848695 8180330 9418434 9816396 12270495 12557912 13088528 15697390 16360660 18836868 19632792 23546085 24540990 25115824 31394780 32721320 37673736 39265584 47092170 49081980 58080343 62789560 65442640 75347472 94184340 98163960 116160686 125579120 174241029 188368680 196327920 232321372 290401715 348482058 376737360 464642744 580803430 696964116 871205145 929285488 1161606860 1393928232 1742410290 2323213720 2787856464 3484820580 4646427440 6969641160 13939282320