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31343126080 = 265771197077
BaseRepresentation
bin11101001100001100…
…100010011001000000
32222220100121202222111
4131030030202121000
51003142320013310
622222051545104
72156466114220
oct351414423100
988810552874
1031343126080
1112324417592
1260a88bb194
132c5671c766
141734994080
15c369d728a
hex74c322640

31343126080 has 112 divisors (see below), whose sum is σ = 86499899136. Its totient is φ = 10594805760.

The previous prime is 31343126069. The next prime is 31343126119. The reversal of 31343126080 is 8062134313.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60502 + ... + 257578.

It is an arithmetic number, because the mean of its divisors is an integer number (772320528).

Almost surely, 231343126080 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 31343126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43249949568).

31343126080 is an abundant number, since it is smaller than the sum of its proper divisors (55156773056).

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

31343126080 is a wasteful number, since it uses less digits than its factorization.

31343126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197172 (or 197162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 31343126080 in words is "thirty-one billion, three hundred forty-three million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 160 224 280 284 320 355 448 497 560 568 710 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4544 4970 5680 7952 9940 11360 15904 19880 22720 31808 39760 79520 159040 197077 394154 788308 985385 1379539 1576616 1970770 2759078 3153232 3941540 5518156 6306464 6897695 7883080 11036312 12612928 13795390 13992467 15766160 22072624 27590780 27984934 31532320 44145248 55181560 55969868 63064640 69962335 88290496 97947269 110363120 111939736 139924670 195894538 220726240 223879472 279849340 391789076 441452480 447758944 489736345 559698680 783578152 895517888 979472690 1119397360 1567156304 1958945380 2238794720 3134312608 3917890760 4477589440 6268625216 7835781520 15671563040 31343126080