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314055140520 = 233511909126171
BaseRepresentation
bin1001001000111110010…
…01010010010010101000
31010000122001011010220010
410210133021102102220
520121141103444040
6400135215331520
731455402435402
oct4443711222250
91100561133803
10314055140520
1111120aa37410
1250a48520ba0
13237cc9a58c4
14112b3a8db72
158281584e80
hex491f2524a8

314055140520 has 128 divisors (see below), whose sum is σ = 1027969159680. Its totient is φ = 76123296000.

The previous prime is 314055140491. The next prime is 314055140591. The reversal of 314055140520 is 25041550413.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11987035 + ... + 12013205.

It is an arithmetic number, because the mean of its divisors is an integer number (8031009060).

Almost surely, 2314055140520 is an apocalyptic number.

314055140520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314055140520 is an abundant number, since it is smaller than the sum of its proper divisors (713914019160).

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

314055140520 is a wasteful number, since it uses less digits than its factorization.

314055140520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35287 (or 35283 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 314055140520 its reverse (25041550413), we get a palindrome (339096690933).

The spelling of 314055140520 in words is "three hundred fourteen billion, fifty-five million, one hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9091 18182 26171 27273 36364 45455 52342 54546 72728 78513 90910 100001 104684 109092 130855 136365 157026 181820 200002 209368 218184 261710 272730 287881 300003 314052 363640 392565 400004 500005 523420 545460 575762 600006 628104 785130 800008 863643 1000010 1046840 1090920 1151524 1200012 1439405 1500015 1570260 1727286 2000020 2303048 2400024 2878810 3000030 3140520 3454572 4000040 4318215 5757620 6000060 6909144 8636430 11515240 12000120 17272860 34545720 237920561 475841122 713761683 951682244 1189602805 1427523366 1903364488 2379205610 2617126171 2855046732 3568808415 4758411220 5234252342 5710093464 7137616830 7851378513 9516822440 10468504684 13085630855 14275233660 15702757026 20937009368 26171261710 28550467320 31405514052 39256892565 52342523420 62811028104 78513785130 104685046840 157027570260 314055140520