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313746315920 = 245293710734159
BaseRepresentation
bin1001001000011001011…
…11001101101010010000
31002222211112001020011222
410210030233031222100
520120023024102140
6400044424224212
731444632453212
oct4441457155220
91088745036158
10313746315920
11111071685974
125098100b068
1323780a0825b
1411284a605b2
1582643d15b5
hex490cbcda90

313746315920 has 160 divisors (see below), whose sum is σ = 782274931200. Its totient is φ = 116790847488.

The previous prime is 313746315913. The next prime is 313746315941. The reversal of 313746315920 is 29513647313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9167801 + ... + 9201959.

It is an arithmetic number, because the mean of its divisors is an integer number (4889218320).

Almost surely, 2313746315920 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 313746315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391137465600).

313746315920 is an abundant number, since it is smaller than the sum of its proper divisors (468528615280).

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

313746315920 is a wasteful number, since it uses less digits than its factorization.

313746315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34345 (or 34339 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 313746315920 in words is "three hundred thirteen billion, seven hundred forty-six million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 37 40 58 74 80 107 116 145 148 185 214 232 290 296 370 428 464 535 580 592 740 856 1070 1073 1160 1480 1712 2140 2146 2320 2960 3103 3959 4280 4292 5365 6206 7918 8560 8584 10730 12412 15515 15836 17168 19795 21460 24824 31030 31672 34159 39590 42920 49648 62060 63344 68318 79180 85840 114811 124120 136636 158360 170795 229622 248240 273272 316720 341590 459244 546544 574055 683180 918488 990611 1148110 1263883 1366360 1836976 1981222 2296220 2527766 2732720 3655013 3962444 4592440 4953055 5055532 6319415 7310026 7924888 9184880 9906110 10111064 12638830 14620052 15849776 18275065 19812220 20222128 25277660 29240104 36550130 36652607 39624440 50555320 58480208 73100260 73305214 79248880 101110640 105995377 135235481 146200520 146610428 183263035 211990754 270470962 292401040 293220856 366526070 423981508 529976885 540941924 586441712 676177405 733052140 847963016 1059953770 1081883848 1352354810 1466104280 1695926032 2119907540 2163767696 2704709620 2932208560 3921828949 4239815080 5409419240 7843657898 8479630160 10818838480 15687315796 19609144745 31374631592 39218289490 62749263184 78436578980 156873157960 313746315920