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13139113440 = 253564342571
BaseRepresentation
bin11000011110010011…
…01111010111100000
31020220200120010020010
430033021233113200
5203402103112230
610011440444520
7643412423115
oct141711572740
936820503203
1013139113440
115632761442
122668319740
13131515b64b
148c901c90c
1551d7809b0
hex30f26f5e0

13139113440 has 96 divisors (see below), whose sum is σ = 41453548416. Its totient is φ = 3498232320.

The previous prime is 13139113397. The next prime is 13139113451. The reversal of 13139113440 is 4431193131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13139113398 and 13139113407.

It is a congruent number.

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, 287355 + ... + 329925.

It is an arithmetic number, because the mean of its divisors is an integer number (431807796).

Almost surely, 213139113440 is an apocalyptic number.

13139113440 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 13139113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726774208).

13139113440 is an abundant number, since it is smaller than the sum of its proper divisors (28314434976).

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

13139113440 is a wasteful number, since it uses less digits than its factorization.

13139113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43232 (or 43224 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 13139113440 in words is "thirteen billion, one hundred thirty-nine million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 643 1286 1929 2572 3215 3858 5144 6430 7716 9645 10288 12860 15432 19290 20576 25720 30864 38580 42571 51440 61728 77160 85142 102880 127713 154320 170284 212855 255426 308640 340568 425710 510852 638565 681136 851420 1021704 1277130 1362272 1702840 2043408 2554260 3405680 4086816 5108520 6811360 10217040 20434080 27373153 54746306 82119459 109492612 136865765 164238918 218985224 273731530 328477836 410597295 437970448 547463060 656955672 821194590 875940896 1094926120 1313911344 1642389180 2189852240 2627822688 3284778360 4379704480 6569556720 13139113440