Search a number
-
+
131439903456 = 2532923075303
BaseRepresentation
bin111101001101001101…
…1011100001011100000
3110120021021100220211110
41322122123130023200
54123142103402311
6140214353143320
712332126513421
oct1723233341340
9416237326743
10131439903456
115081a442994
1221582b5ab40
13c5192b4c04
14650c807648
15364448b8a6
hex1e9a6dc2e0

131439903456 has 144 divisors (see below), whose sum is σ = 358569154944. Its totient is φ = 42156753408.

The previous prime is 131439903433. The next prime is 131439903457. The reversal of 131439903456 is 654309934131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131439903457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24783301 + ... + 24788603.

It is an arithmetic number, because the mean of its divisors is an integer number (2490063576).

Almost surely, 2131439903456 is an apocalyptic number.

131439903456 is a gapful number since it is divisible by the number (16) 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 131439903456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284577472).

131439903456 is an abundant number, since it is smaller than the sum of its proper divisors (227129251488).

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

131439903456 is a wasteful number, since it uses less digits than its factorization.

131439903456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 131439903456 in words is "one hundred thirty-one billion, four hundred thirty-nine million, nine hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 307 348 464 614 696 841 921 928 1228 1392 1682 1842 2456 2523 2784 3364 3684 4912 5046 5303 6728 7368 8903 9824 10092 10606 13456 14736 15909 17806 20184 21212 26709 26912 29472 31818 35612 40368 42424 53418 63636 71224 80736 84848 106836 127272 142448 153787 169696 213672 254544 258187 284896 307574 427344 461361 509088 516374 615148 774561 854688 922722 1032748 1230296 1549122 1628021 1845444 2065496 2460592 3098244 3256042 3690888 4130992 4459823 4884063 4921184 6196488 6512084 7381776 8261984 8919646 9768126 12392976 13024168 13379469 14763552 17839292 19536252 24785952 26048336 26758938 35678584 39072504 47212609 52096672 53517876 71357168 78145008 94425218 107035752 141637827 142714336 156290016 188850436 214071504 283275654 377700872 428143008 566551308 755401744 1133102616 1369165661 1510803488 2266205232 2738331322 4107496983 4532410464 5476662644 8214993966 10953325288 16429987932 21906650576 32859975864 43813301152 65719951728 131439903456