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313241334140 = 22574173747557
BaseRepresentation
bin1001000111011101010…
…00110111000101111100
31002221112022211111102002
410203232220313011330
520113004240143030
6355522344521432
731426261260140
oct4435650670574
91087468744362
10313241334140
11110932626659
125085ba80278
13237001ca777
141123796d220
158234dd2245
hex48eea3717c

313241334140 has 96 divisors (see below), whose sum is σ = 780665848704. Its totient is φ = 103342141440.

The previous prime is 313241334121. The next prime is 313241334151. The reversal of 313241334140 is 41433142313.

It is a happy number.

It is a congruent number.

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, 45242 + ... + 792798.

It is an arithmetic number, because the mean of its divisors is an integer number (8131935924).

Almost surely, 2313241334140 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 313241334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332924352).

313241334140 is an abundant number, since it is smaller than the sum of its proper divisors (467424514564).

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

313241334140 is a wasteful number, since it uses less digits than its factorization.

313241334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747687 (or 747685 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 313241334140 its reverse (41433142313), we get a palindrome (354674476453).

The spelling of 313241334140 in words is "three hundred thirteen billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 73 82 140 146 164 205 287 292 365 410 511 574 730 820 1022 1148 1435 1460 2044 2555 2870 2993 5110 5740 5986 10220 11972 14965 20951 29930 41902 59860 83804 104755 209510 419020 747557 1495114 2990228 3737785 5232899 7475570 10465798 14951140 20931596 26164495 30649837 52328990 54571661 61299674 104657980 109143322 122599348 153249185 214548859 218286644 272858305 306498370 382001627 429097718 545716610 612996740 764003254 858195436 1072744295 1091433220 1528006508 1910008135 2145488590 2237438101 3820016270 4290977180 4474876202 7640032540 8949752404 11187190505 15662066707 22374381010 31324133414 44748762020 62648266828 78310333535 156620667070 313241334140