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311114015058 = 2371112716731751
BaseRepresentation
bin1001000011011111101…
…01110010000101010010
31002202001001220111020110
410201233311302011102
520044130141440213
6354531313022150
731322460331530
oct4415765620522
91082031814213
10311114015058
1110aa40829310
1250367554956
1323451565c92
14110b5211150
15815d2705c3
hex486fd72152

311114015058 has 128 divisors (see below), whose sum is σ = 786579849216. Its totient is φ = 79689960000.

The previous prime is 311114015033. The next prime is 311114015077. The reversal of 311114015058 is 850510411113.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9782683 + ... + 9814433.

It is an arithmetic number, because the mean of its divisors is an integer number (6145155072).

Almost surely, 2311114015058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311114015058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393289924608).

311114015058 is an abundant number, since it is smaller than the sum of its proper divisors (475465834158).

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

311114015058 is a wasteful number, since it uses less digits than its factorization.

311114015058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32068.

The product of its (nonzero) digits is 2400, while the sum is 30.

The spelling of 311114015058 in words is "three hundred eleven billion, one hundred fourteen million, fifteen thousand, fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 127 154 167 231 254 334 381 462 501 762 889 1002 1169 1397 1778 1837 2338 2667 2794 3507 3674 4191 5334 5511 7014 8382 9779 11022 12859 19558 21209 25718 29337 31751 38577 42418 58674 63502 63627 77154 95253 127254 148463 190506 222257 233299 296926 349261 444514 445389 466598 666771 698522 699897 890778 1047783 1333542 1399794 1633093 2095566 2444827 3266186 4032377 4889654 4899279 5302417 7334481 8064754 9798558 10604834 12097131 14668962 15907251 24194262 28226639 31814502 37116919 44356147 56453278 58326587 74233838 84679917 88712294 111350757 116653174 133068441 169359834 174979761 222701514 266136882 310493029 349959522 408286109 620986058 673406959 816572218 931479087 1224858327 1346813918 1862958174 2020220877 2449716654 4040441754 4713848713 7407476549 9427697426 14141546139 14814953098 22222429647 28283092278 44444859294 51852335843 103704671686 155557007529 311114015058