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318313720394940 = 2235172101141181501
BaseRepresentation
bin100100001100000010011000…
…0001110110011010010111100
31112202001111100110211112211110
41020120010300032303102330
5313210222444410114230
63044555145430122020
7124022256505410564
oct11030046016632274
91482044313745743
10318313720394940
11924740aa817846
122b84b3b8ab0310
131087cb1668527a
145886675637da4
1526c010c6c84b0
hex12181303b34bc

318313720394940 has 144 divisors (see below), whose sum is σ = 946805145247584. Its totient is φ = 79889272320000.

The previous prime is 318313720394933. The next prime is 318313720394959. The reversal of 318313720394940 is 49493027313813.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1753694190 + ... + 1753875690.

It is an arithmetic number, because the mean of its divisors is an integer number (6575035730886).

Almost surely, 2318313720394940 is an apocalyptic number.

318313720394940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318313720394940 is an abundant number, since it is smaller than the sum of its proper divisors (628491424852644).

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

318313720394940 is a wasteful number, since it uses less digits than its factorization.

318313720394940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282688 (or 282669 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 318313720394940 in words is "three hundred eighteen trillion, three hundred thirteen billion, seven hundred twenty million, three hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 101141 181501 202282 303423 363002 404564 505705 544503 606846 726004 907505 1011410 1089006 1213692 1517115 1719397 1815010 2022820 2178012 2722515 3034230 3085517 3438794 3630020 5158191 5445030 6068460 6171034 6877588 8596985 9256551 10316382 10890060 12342068 15427585 17193970 18513102 20632764 25790955 29229749 30855170 34387940 37026204 46282755 51581910 52453789 58459498 61710340 87689247 92565510 103163820 104907578 116918996 146148745 157361367 175378494 185131020 209815156 262268945 292297490 314722734 350756988 438446235 524537890 584594980 629445468 786806835 876892470 1049075780 1573613670 1753784940 3147227340 18357192641 36714385282 55071577923 73428770564 91785963205 110143155846 183571926410 220286311692 275357889615 312072274897 367143852820 550715779230 624144549794 936216824691 1101431558460 1248289099588 1560361374485 1872433649382 3120722748970 3744867298764 4681084123455 5305228673249 6241445497940 9362168246910 10610457346498 15915686019747 18724336493820 21220914692996 26526143366245 31831372039494 53052286732490 63662744078988 79578430098735 106104573464980 159156860197470 318313720394940