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313112131440 = 24357317871697
BaseRepresentation
bin1001000111001101110…
…11111111011101110000
31002221012022201022121220
410203212323333131300
520112223201201230
6355501451345040
731423132126653
oct4434673773560
91087168638556
10313112131440
111108766a9769
1250824752180
13236ac500b74
141122473989a
1582288aed10
hex48e6eff770

313112131440 has 80 divisors (see below), whose sum is σ = 983944205088. Its totient is φ = 82352775168.

The previous prime is 313112131433. The next prime is 313112131457. The reversal of 313112131440 is 44131211313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313112131440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8918329 + ... + 8953368.

Almost surely, 2313112131440 is an apocalyptic number.

313112131440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313112131440 is an abundant number, since it is smaller than the sum of its proper divisors (670832073648).

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

313112131440 is a wasteful number, since it uses less digits than its factorization.

313112131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871786 (or 17871780 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313112131440 its reverse (44131211313), we get a palindrome (357243342753).

The spelling of 313112131440 in words is "three hundred thirteen billion, one hundred twelve million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 17871697 35743394 53615091 71486788 89358485 107230182 142973576 178716970 214460364 268075455 285947152 357433940 428920728 536150910 714867880 857841456 1072301820 1304633881 1429735760 2144603640 2609267762 3913901643 4289207280 5218535524 6523169405 7827803286 10437071048 13046338810 15655606572 19569508215 20874142096 26092677620 31311213144 39139016430 52185355240 62622426288 78278032860 104370710480 156556065720 313112131440