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14149392480 = 253259825967
BaseRepresentation
bin11010010110101111…
…01001100001100000
31100112002120121112100
431023113221201200
5212434221024410
610300010330400
71010430565056
oct151327514140
940462517470
1014149392480
116000a65aa3
1228aa729a00
1314465573b2
149832841d6
1557c2e28c0
hex34b5e9860

14149392480 has 72 divisors (see below), whose sum is σ = 48284806752. Its totient is φ = 3773170944.

The previous prime is 14149392479. The next prime is 14149392487. The reversal of 14149392480 is 8429394141.

14149392480 is a `hidden beast` number, since 1 + 41 + 49 + 3 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14149392487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4911544 + ... + 4914423.

It is an arithmetic number, because the mean of its divisors is an integer number (670622316).

Almost surely, 214149392480 is an apocalyptic number.

14149392480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14149392480 is an abundant number, since it is smaller than the sum of its proper divisors (34135414272).

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

14149392480 is a wasteful number, since it uses less digits than its factorization.

14149392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825988 (or 9825977 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14149392480 in words is "fourteen billion, one hundred forty-nine million, three hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9825967 19651934 29477901 39303868 49129835 58955802 78607736 88433703 98259670 117911604 147389505 157215472 176867406 196519340 235823208 294779010 314430944 353734812 393038680 442168515 471646416 589558020 707469624 786077360 884337030 943292832 1179116040 1414939248 1572154720 1768674060 2358232080 2829878496 3537348120 4716464160 7074696240 14149392480