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10014010240 = 275131203607
BaseRepresentation
bin10010101001110000…
…11010101110000000
3221211220010102120011
421110320122232000
5131002041311430
64333402554304
7503104453063
oct112470325600
927756112504
1010014010240
114279714123
121b35808994
13c37884460
146add6c8da
153d922922a
hex254e1ab80

10014010240 has 64 divisors (see below), whose sum is σ = 25781283360. Its totient is φ = 3697477632.

The previous prime is 10014010231. The next prime is 10014010277. The reversal of 10014010240 is 4201041001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10014010240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593484 + ... + 610123.

Almost surely, 210014010240 is an apocalyptic number.

10014010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014010240 is an abundant number, since it is smaller than the sum of its proper divisors (15767273120).

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

10014010240 is a wasteful number, since it uses less digits than its factorization.

10014010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203639 (or 1203627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10014010240 its reverse (4201041001), we get a palindrome (14215051241).

The spelling of 10014010240 in words is "ten billion, fourteen million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1203607 2407214 4814428 6018035 9628856 12036070 15646891 19257712 24072140 31293782 38515424 48144280 62587564 77030848 78234455 96288560 125175128 154061696 156468910 192577120 250350256 312937820 385154240 500700512 625875640 770308480 1001401024 1251751280 2002802048 2503502560 5007005120 10014010240