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13114313040 = 2435145337607
BaseRepresentation
bin11000011011010110…
…01000100101010000
31020211221220010110210
430031223020211100
5203324231004130
610005153124120
7642661551543
oct141553104520
936757803423
1013114313040
11561a762544
12265bb59640
13130cc8725a
148c5a0485a
1551b4d25b0
hex30dac8950

13114313040 has 80 divisors (see below), whose sum is σ = 40683431808. Its totient is φ = 3494650368.

The previous prime is 13114313021. The next prime is 13114313053. The reversal of 13114313040 is 4031341131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131143130402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13114312998 and 13114313016.

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, 329917 + ... + 367523.

Almost surely, 213114313040 is an apocalyptic number.

13114313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114313040 is an abundant number, since it is smaller than the sum of its proper divisors (27569118768).

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

13114313040 is a wasteful number, since it uses less digits than its factorization.

13114313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39076 (or 39070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13114313040 its reverse (4031341131), we get a palindrome (17145654171).

The spelling of 13114313040 in words is "thirteen billion, one hundred fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23248 29060 34872 37607 43590 58120 69744 75214 87180 112821 116240 150428 174360 188035 225642 300856 348720 376070 451284 564105 601712 752140 902568 1128210 1504280 1805136 2256420 3008560 4512840 9025680 54642971 109285942 163928913 218571884 273214855 327857826 437143768 546429710 655715652 819644565 874287536 1092859420 1311431304 1639289130 2185718840 2622862608 3278578260 4371437680 6557156520 13114313040