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13241116440 = 2333512260293
BaseRepresentation
bin11000101010011101…
…10110011100011000
31021011210111102001000
430111032312130120
5204104211211230
610025523025000
7646061430006
oct142516663430
937153442030
1013241116440
1156852a0842
12269650b160
131330323a56
148d87b1a76
155276cdb60
hex3153b6718

13241116440 has 64 divisors (see below), whose sum is σ = 44137058400. Its totient is φ = 3530964096.

The previous prime is 13241116423. The next prime is 13241116457. The reversal of 13241116440 is 4461114231.

13241116440 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 11 + 644 + 0 = 666.

13241116440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13241116423) and next prime (13241116457).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6129067 + ... + 6131226.

Almost surely, 213241116440 is an apocalyptic number.

13241116440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13241116440 is an abundant number, since it is smaller than the sum of its proper divisors (30895941960).

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

13241116440 is a wasteful number, since it uses less digits than its factorization.

13241116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260313 (or 12260303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13241116440 in words is "thirteen billion, two hundred forty-one million, one hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12260293 24520586 36780879 49041172 61301465 73561758 98082344 110342637 122602930 147123516 183904395 220685274 245205860 294247032 331027911 367808790 441370548 490411720 551713185 662055822 735617580 882741096 1103426370 1324111644 1471235160 1655139555 2206852740 2648223288 3310279110 4413705480 6620558220 13241116440