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13331201440 = 255174901177
BaseRepresentation
bin11000110101001100…
…11111110110100000
31021102002000012102111
430122212133312200
5204300241421230
610042501525104
7651234225334
oct143246376640
937362005374
1013331201440
11572112aa57
122700713794
131345ba559b
149067417c4
1553057592a
hex31a99fda0

13331201440 has 48 divisors (see below), whose sum is σ = 33347615112. Its totient is φ = 5018804224.

The previous prime is 13331201413. The next prime is 13331201447. The reversal of 13331201440 is 4410213331.

It can be written as a sum of positive squares in 4 ways, for example, as 12143158416 + 1188043024 = 110196^2 + 34468^2 .

It is not an unprimeable number, because it can be changed into a prime (13331201447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2447869 + ... + 2453308.

Almost surely, 213331201440 is an apocalyptic number.

13331201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331201440 is an abundant number, since it is smaller than the sum of its proper divisors (20016413672).

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

13331201440 is a wasteful number, since it uses less digits than its factorization.

13331201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901209 (or 4901201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13331201440 its reverse (4410213331), we get a palindrome (17741414771).

The spelling of 13331201440 in words is "thirteen billion, three hundred thirty-one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4901177 9802354 19604708 24505885 39209416 49011770 78418832 83320009 98023540 156837664 166640018 196047080 333280036 392094160 416600045 666560072 784188320 833200090 1333120144 1666400180 2666240288 3332800360 6665600720 13331201440