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313384478960 = 24574318111601
BaseRepresentation
bin1001000111101110010…
…10111010100011110000
31002221220022012000012002
410203313022322203300
520113302411311320
6355544500553132
731432650056030
oct4436712724360
91087808160162
10313384478960
111109a6406463
125089b9b27a8
1323723a69347
141124c9918c0
15824275a675
hex48f72ba8f0

313384478960 has 160 divisors (see below), whose sum is σ = 836190480384. Its totient is φ = 106997760000.

The previous prime is 313384478899. The next prime is 313384478987. The reversal of 313384478960 is 69874483313.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 313384478896 and 313384478905.

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, 195742160 + ... + 195743760.

Almost surely, 2313384478960 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 313384478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418095240192).

313384478960 is an abundant number, since it is smaller than the sum of its proper divisors (522806001424).

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

313384478960 is a wasteful number, since it uses less digits than its factorization.

313384478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 313384478960 in words is "three hundred thirteen billion, three hundred eighty-four million, four hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 431 560 811 862 1601 1622 1724 2155 3017 3202 3244 3448 4055 4310 5677 6034 6404 6488 6896 8005 8110 8620 11207 11354 12068 12808 12976 15085 16010 16220 17240 22414 22708 24136 25616 28385 30170 32020 32440 34480 44828 45416 48272 56035 56770 60340 64040 64880 89656 90832 112070 113540 120680 128080 179312 224140 227080 241360 349541 448280 454160 690031 699082 896560 1298411 1380062 1398164 1747705 2446787 2596822 2760124 2796328 3450155 3495410 4830217 4893574 5193644 5520248 5592656 6492055 6900310 6990820 9088877 9660434 9787148 10387288 11040496 12233935 12984110 13800620 13981640 18177754 19320868 19574296 20774576 24151085 24467870 25968220 27601240 27963280 36355508 38641736 39148592 45444385 48302170 48935740 51936440 55202480 72711016 77283472 90888770 96604340 97871480 103872880 145422032 181777540 193208680 195742960 363555080 386417360 559615141 727110160 1119230282 2238460564 2798075705 3917305987 4476921128 5596151410 7834611974 8953842256 11192302820 15669223948 19586529935 22384605640 31338447896 39173059870 44769211280 62676895792 78346119740 156692239480 313384478960