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334112313444320 = 2553190247746411
BaseRepresentation
bin100101111110111111001010…
…1110000100000011111100000
31121210222211021120220011122102
41023331332111300200133200
5322243044004220204240
63142333024452225532
7130242550410540455
oct11375762560403740
91553884246804572
10334112313444320
1197505266716204
123158125590b2a8
131145786b20b048
145c7119d67382c
152896064865815
hex12fdf95c207e0

334112313444320 has 96 divisors (see below), whose sum is σ = 814813052368896. Its totient is φ = 129332192371200.

The previous prime is 334112313444319. The next prime is 334112313444347. The reversal of 334112313444320 is 23444313211433.

It is a super-2 number, since 2×3341123134443202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447251915 + ... + 447998325.

It is an arithmetic number, because the mean of its divisors is an integer number (8487635962176).

Almost surely, 2334112313444320 is an apocalyptic number.

It is an amenable number.

334112313444320 is an abundant number, since it is smaller than the sum of its proper divisors (480700738924576).

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

334112313444320 is a wasteful number, since it uses less digits than its factorization.

334112313444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836704 (or 836696 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 334112313444320 its reverse (23444313211433), we get a palindrome (357556626655753).

The spelling of 334112313444320 in words is "three hundred thirty-four trillion, one hundred twelve billion, three hundred thirteen million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 90247 180494 360988 451235 721976 746411 902470 1443952 1492822 1804940 2797657 2887904 2985644 3609880 3732055 5595314 5971288 7219760 7464110 11190628 11942576 13988285 14439520 14928220 22381256 23138741 23885152 27976570 29856440 44762512 46277482 55953140 59712880 89525024 92554964 111906280 115693705 119425760 185109928 223812560 231387410 370219856 447625120 462774820 740439712 925549640 1851099280 3702198560 67361353517 134722707034 269445414068 336806767585 538890828136 673613535170 1077781656272 1347227070340 2088201959027 2155563312544 2694454140680 4176403918054 5388908281360 8352807836108 10441009795135 10777816562720 16705615672216 20882019590270 33411231344432 41764039180540 66822462688864 83528078361080 167056156722160 334112313444320