Search a number
-
+
253441131460 = 225112694579371
BaseRepresentation
bin1110110000001001000…
…1001100001111000100
3220020011202012110001121
43230002101030033010
513123021412201320
6312232415003324
724211336033666
oct3540221141704
9806152173047
10253441131460
1198535a03250
1241150b09544
131ab8cc8655a
14c3a3848536
1568d4e988aa
hex3b0244c3c4

253441131460 has 96 divisors (see below), whose sum is σ = 584106526080. Its totient is φ = 91607116800.

The previous prime is 253441131431. The next prime is 253441131481. The reversal of 253441131460 is 64131144352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27040575 + ... + 27049945.

It is an arithmetic number, because the mean of its divisors is an integer number (6084442980).

Almost surely, 2253441131460 is an apocalyptic number.

253441131460 is a gapful number since it is divisible by the number (20) 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 253441131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292053263040).

253441131460 is an abundant number, since it is smaller than the sum of its proper divisors (330665394620).

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

253441131460 is a wasteful number, since it uses less digits than its factorization.

253441131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 253441131460 in words is "two hundred fifty-three billion, four hundred forty-one million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 457 538 914 1076 1345 1828 2285 2690 2959 4570 5027 5380 5918 9140 9371 10054 11836 14795 18742 20108 25135 29590 37484 46855 50270 59180 93710 100540 103081 122933 187420 206162 245866 412324 491732 515405 614665 1030810 1229330 1352263 2061620 2458660 2520799 2704526 4282547 5041598 5409052 6761315 8565094 10083196 12603995 13522630 17130188 21412735 25207990 27045260 27728789 42825470 47108017 50415980 55457578 85650940 94216034 110915156 138643945 188432068 235540085 277287890 471080170 554575780 942160340 1152005143 2304010286 4608020572 5760025715 11520051430 12672056573 23040102860 25344113146 50688226292 63360282865 126720565730 253441131460