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131215264440 = 233513131642079
BaseRepresentation
bin111101000110100001…
…0100000101010111000
3110112200121200002000220
41322031002200222320
54122212101430230
6140140210300040
712323431226241
oct1721502405270
9415617602026
10131215264440
1150714661307
122151b887620
13c4b18b1b10
1464caa4dcc8
15362e8b6d10
hex1e8d0a0ab8

131215264440 has 128 divisors (see below), whose sum is σ = 427162982400. Its totient is φ = 32052533760.

The previous prime is 131215264421. The next prime is 131215264441. The reversal of 131215264440 is 44462512131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131215264441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116680 + ... + 525399.

It is an arithmetic number, because the mean of its divisors is an integer number (3337210800).

Almost surely, 2131215264440 is an apocalyptic number.

131215264440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131215264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213581491200).

131215264440 is an abundant number, since it is smaller than the sum of its proper divisors (295947717960).

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

131215264440 is a wasteful number, since it uses less digits than its factorization.

131215264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642237 (or 642233 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 131215264440 its reverse (44462512131), we get a palindrome (175677776571).

The spelling of 131215264440 in words is "one hundred thirty-one billion, two hundred fifteen million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 131 156 195 260 262 312 390 393 520 524 655 780 786 1048 1310 1560 1572 1703 1965 2620 3144 3406 3930 5109 5240 6812 7860 8515 10218 13624 15720 17030 20436 25545 34060 40872 51090 68120 102180 204360 642079 1284158 1926237 2568316 3210395 3852474 5136632 6420790 7704948 8347027 9631185 12841580 15409896 16694054 19262370 25041081 25683160 33388108 38524740 41735135 50082162 66776216 77049480 83470270 84112349 100164324 125205405 166940540 168224698 200328648 250410810 252337047 333881080 336449396 420561745 500821620 504674094 672898792 841123490 1001643240 1009348188 1093460537 1261685235 1682246980 2018696376 2186921074 2523370470 3280381611 3364493960 4373842148 5046740940 5467302685 6560763222 8747684296 10093481880 10934605370 13121526444 16401908055 21869210740 26243052888 32803816110 43738421480 65607632220 131215264440