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13334540240 = 2457171400687
BaseRepresentation
bin11000110101100110…
…01110111111010000
31021102022021211101202
430122303032333100
5204302120241430
610043101250332
7651304502420
oct143263167720
937368254352
1013334540240
11572300049a
1227018639a8
1313467a41c8
14906d70480
155309d4d45
hex31accefd0

13334540240 has 80 divisors (see below), whose sum is σ = 37516027392. Its totient is φ = 4302907392.

The previous prime is 13334540227. The next prime is 13334540267. The reversal of 13334540240 is 4204543331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690824 + ... + 709863.

Almost surely, 213334540240 is an apocalyptic number.

13334540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334540240 is an abundant number, since it is smaller than the sum of its proper divisors (24181487152).

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

13334540240 is a wasteful number, since it uses less digits than its factorization.

13334540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400724 (or 1400718 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The spelling of 13334540240 in words is "thirteen billion, three hundred thirty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 1400687 2801374 5602748 7003435 9804809 11205496 14006870 19609618 22410992 23811679 28013740 39219236 47623358 49024045 56027480 78438472 95246716 98048090 112054960 119058395 156876944 166681753 190493432 196096180 238116790 333363506 380986864 392192360 476233580 666727012 784384720 833408765 952467160 1333454024 1666817530 1904934320 2666908048 3333635060 6667270120 13334540240