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13131412444488 = 23313229111638887
BaseRepresentation
bin1011111100010110010100…
…1011001001010101001000
31201111100110201012101111010
42333011211023021111020
53210121113041210423
643532253153203520
72523466433061612
oct277054513112510
951440421171433
1013131412444488
114203000a98318
121580b575605a0
13743396377b00
143357c6d21db2
1517b8a14ec693
hexbf1652c9548

13131412444488 has 96 divisors (see below), whose sum is σ = 36773849707200. Its totient is φ = 3901109232384.

The previous prime is 13131412444477. The next prime is 13131412444489. The reversal of 13131412444488 is 88444421413131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13131412444489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55701820 + ... + 55937067.

It is an arithmetic number, because the mean of its divisors is an integer number (383060934450).

Almost surely, 213131412444488 is an apocalyptic number.

It is an amenable number.

13131412444488 is an abundant number, since it is smaller than the sum of its proper divisors (23642437262712).

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

13131412444488 is a wasteful number, since it uses less digits than its factorization.

13131412444488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111638951 (or 111638934 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 13131412444488 in words is "thirteen trillion, one hundred thirty-one billion, four hundred twelve million, four hundred forty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 169 174 232 312 338 348 377 507 676 696 754 1014 1131 1352 1508 2028 2262 3016 4056 4524 4901 9048 9802 14703 19604 29406 39208 58812 117624 111638887 223277774 334916661 446555548 669833322 893111096 1339666644 1451305531 2679333288 2902611062 3237527723 4353916593 5805222124 6475055446 8707833186 9712583169 11610444248 12950110892 17415666372 18866971903 19425166338 25900221784 34831332744 37733943806 38850332676 42087860399 56600915709 75467887612 77700665352 84175720798 113201831418 126263581197 150935775224 168351441596 226403662836 252527162394 336702883192 452807325672 505054324788 547142185187 1010108649576 1094284370374 1641426555561 2188568740748 3282853111122 4377137481496 6565706222244 13131412444488