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41312879322 = 231113378315679
BaseRepresentation
bin100110011110011100…
…001000001011011010
310221122011110201100120
4212132130020023122
51134102044114242
630551234214110
72661525452211
oct463634101332
9127564421316
1041312879322
1116580052780
12800b724336
133b85079830
141ddcac2078
15111bdbd1ec
hex99e7082da

41312879322 has 128 divisors (see below), whose sum is σ = 100901928960. Its totient is φ = 11107549440.

The previous prime is 41312879291. The next prime is 41312879327. The reversal of 41312879322 is 22397821314.

It is not an unprimeable number, because it can be changed into a prime (41312879327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627079 + ... + 2642757.

It is an arithmetic number, because the mean of its divisors is an integer number (788296320).

Almost surely, 241312879322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312879322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450964480).

41312879322 is an abundant number, since it is smaller than the sum of its proper divisors (59589049638).

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

41312879322 is a wasteful number, since it uses less digits than its factorization.

41312879322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828.

The product of its digits is 145152, while the sum is 42.

The spelling of 41312879322 in words is "forty-one billion, three hundred twelve million, eight hundred seventy-nine thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 83 111 143 166 222 249 286 407 429 481 498 814 858 913 962 1079 1221 1443 1826 2158 2442 2739 2886 3071 3237 5291 5478 6142 6474 9213 10582 11869 15679 15873 18426 23738 31358 31746 33781 35607 39923 47037 67562 71214 79846 94074 101343 119769 172469 202686 203827 239538 344938 407654 439153 517407 580123 611481 878306 1034814 1160246 1222962 1301357 1317459 1740369 2242097 2602714 2634918 3480738 3904071 4484194 6381353 6726291 7541599 7808142 12762706 13452582 14314927 15083198 16917641 19144059 22624797 28629854 33835282 38288118 42944781 45249594 48150209 50752923 82957589 85889562 96300418 101505846 144450627 165915178 186094051 248872767 288901254 372188102 497745534 529652299 558282153 625952717 1059304598 1116564306 1251905434 1588956897 1877858151 3177913794 3755716302 6885479887 13770959774 20656439661 41312879322