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1313114244 = 2231319312461
BaseRepresentation
bin100111001000100…
…1000100010000100
310101111212010002220
41032101020202010
510142124123434
6334144332340
744353200261
oct11621104204
93344763086
101313114244
11614245192
123079140b0
1317c07a1a0
14c6576268
157a430d49
hex4e448884

1313114244 has 144 divisors (see below), whose sum is σ = 3596725440. Its totient is φ = 369619200.

The previous prime is 1313114233. The next prime is 1313114249. The reversal of 1313114244 is 4424113131.

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 (1313114249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848174 + ... + 2848634.

It is an arithmetic number, because the mean of its divisors is an integer number (24977260).

Almost surely, 21313114244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313114244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798362720).

1313114244 is an abundant number, since it is smaller than the sum of its proper divisors (2283611196).

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

1313114244 is a wasteful number, since it uses less digits than its factorization.

1313114244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 529 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1313114244 is about 36236.9182464514. The cubic root of 1313114244 is about 1095.0505579125.

Adding to 1313114244 its reverse (4424113131), we get a palindrome (5737227375).

The spelling of 1313114244 in words is "one billion, three hundred thirteen million, one hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 461 494 589 741 806 922 961 988 1178 1209 1383 1482 1612 1767 1844 1922 2356 2418 2766 2883 2964 3534 3844 4836 5532 5766 5993 7068 7657 8759 11532 11986 12493 14291 15314 17518 17979 18259 22971 23972 24986 26277 28582 30628 35036 35958 36518 37479 42873 45942 49972 52554 54777 57164 71916 73036 74958 85746 91884 105108 109554 113867 149916 171492 185783 219108 227734 237367 271529 341601 371566 443021 455468 474734 543058 557349 683202 712101 743132 814587 886042 949468 1086116 1114698 1329063 1366404 1424202 1629174 1772084 2229396 2658126 2848404 3258348 3529877 5316252 5759273 7059754 8417399 10589631 11518546 14119508 16834798 17277819 21179262 23037092 25252197 33669596 34555638 42358524 50504394 69111276 101008788 109426187 218852374 328278561 437704748 656557122 1313114244