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313740118440 = 233257217785721
BaseRepresentation
bin1001001000011000101…
…11100100100110101000
31002222211002101100211200
410210030113210212220
520120014432242230
6400044043324200
731444526001600
oct4441427444650
91088732340750
10313740118440
11111069132691
125097ab20660
132377c6483c8
1411283cc9c00
158263aaa160
hex490c5e49a8

313740118440 has 144 divisors (see below), whose sum is σ = 1186129800180. Its totient is φ = 71712023040.

The previous prime is 313740118429. The next prime is 313740118453. The reversal of 313740118440 is 44811047313.

313740118440 is a `hidden beast` number, since 3 + 1 + 37 + 401 + 184 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 295416164484 + 18323953956 = 543522^2 + 135366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313740118395 and 313740118404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8875221 + ... + 8910500.

Almost surely, 2313740118440 is an apocalyptic number.

313740118440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313740118440 is an abundant number, since it is smaller than the sum of its proper divisors (872389681740).

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

313740118440 is a wasteful number, since it uses less digits than its factorization.

313740118440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17785752 (or 17785738 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 313740118440 in words is "three hundred thirteen billion, seven hundred forty million, one hundred eighteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 17785721 35571442 53357163 71142884 88928605 106714326 124500047 142285768 160071489 177857210 213428652 249000094 266785815 320142978 355714420 373500141 426857304 498000188 533571630 622500235 640285956 711428840 747000282 800357445 871500329 996000376 1067143260 1120500423 1245000470 1280571912 1494000564 1600714890 1743000658 1867500705 2134286520 2241000846 2490000940 2614500987 2988001128 3201429780 3486001316 3735001410 4357501645 4482001692 4980001880 5229001974 5602502115 6402859560 6972002632 7470002820 7843502961 8715003290 8964003384 10458003948 11205004230 13072504935 14940005640 15687005922 17430006580 20916007896 22410008460 26145009870 31374011844 34860013160 39217514805 44820016920 52290019740 62748023688 78435029610 104580039480 156870059220 313740118440