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313311213040 = 24574367719219
BaseRepresentation
bin1001000111100101100…
…11011011010111110000
31002221201012022201020111
410203302303123113300
520113130132304130
6355533322351104
731431100240540
oct4436263332760
91087635281214
10313311213040
11110969014711
125087b35b494
1323711826127
1411242d5d320
15823b0d702a
hex48f2cdb5f0

313311213040 has 160 divisors (see below), whose sum is σ = 853176107520. Its totient is φ = 104762391552.

The previous prime is 313311212993. The next prime is 313311213049. The reversal of 313311213040 is 40312113313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313311213049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16292551 + ... + 16311769.

It is an arithmetic number, because the mean of its divisors is an integer number (5332350672).

Almost surely, 2313311213040 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 313311213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426588053760).

313311213040 is an abundant number, since it is smaller than the sum of its proper divisors (539864894480).

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

313311213040 is a wasteful number, since it uses less digits than its factorization.

313311213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313311213040 its reverse (40312113313), we get a palindrome (353623326353).

The spelling of 313311213040 in words is "three hundred thirteen billion, three hundred eleven million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 677 688 860 1204 1354 1505 1720 2408 2708 3010 3385 3440 4739 4816 5416 6020 6770 9478 10832 12040 13540 18956 19219 23695 24080 27080 29111 37912 38438 47390 54160 58222 75824 76876 94780 96095 116444 134533 145555 153752 189560 192190 203777 232888 269066 291110 307504 379120 384380 407554 465776 538132 582220 672665 768760 815108 826417 1018885 1076264 1164440 1345330 1537520 1630216 1652834 2037770 2152528 2328880 2690660 3260432 3305668 4075540 4132085 5381320 5784919 6611336 8151080 8264170 10762640 11569838 13011263 13222672 16302160 16528340 23139676 26022526 28924595 33056680 46279352 52045052 57849190 65056315 66113360 91078841 92558704 104090104 115698380 130112630 182157682 208180208 231396760 260225260 364315364 455394205 462793520 520450520 559484309 728630728 910788410 1040901040 1118968618 1457261456 1821576820 2237937236 2797421545 3643153640 3916390163 4475874472 5594843090 7286307280 7832780326 8951748944 11189686180 15665560652 19581950815 22379372360 31331121304 39163901630 44758744720 62662242608 78327803260 156655606520 313311213040