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311431030413042 = 234122939743132309
BaseRepresentation
bin100011011001111101010111…
…1111100001001011011110010
31111211200111220222100221111110
41012303322233330021123302
5311304441222241204132
63022205235033254150
7122412102154013061
oct10663725774113362
91454614828327443
10311431030413042
1190260181750391
122ab19505b64356
13104a0a87b57447
1456c94b13a21d8
152601080c281cc
hex11b3eaff096f2

311431030413042 has 128 divisors (see below), whose sum is σ = 643964830387200. Its totient is φ = 100345649817600.

The previous prime is 311431030413007. The next prime is 311431030413079. The reversal of 311431030413042 is 240314030134113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9639125584 + ... + 9639157892.

It is an arithmetic number, because the mean of its divisors is an integer number (5030975237400).

Almost surely, 2311431030413042 is an apocalyptic number.

311431030413042 is an abundant number, since it is smaller than the sum of its proper divisors (332533799974158).

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

311431030413042 is a wasteful number, since it uses less digits than its factorization.

311431030413042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33412.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 311431030413042 its reverse (240314030134113), we get a palindrome (551745060547155).

The spelling of 311431030413042 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 41 82 123 229 246 397 431 458 687 794 862 1191 1293 1374 2382 2586 9389 16277 17671 18778 28167 32309 32554 35342 48831 53013 56334 64618 90913 96927 97662 98699 106026 171107 181826 193854 197398 272739 296097 342214 513321 545478 592194 1026642 1324669 2649338 3727433 3974007 4046659 7015387 7398761 7454866 7948014 8093318 11182299 12139977 12826673 13925179 14030774 14797522 21046161 22196283 22364598 24279954 25653346 27850358 38480019 39183503 41775537 42092322 44392566 76960038 78367006 83551074 117550509 235101018 303349201 525893593 570932339 606698402 910047603 1051787186 1141864678 1577680779 1606523623 1712797017 1820095206 2937308117 3155361558 3188865991 3213047246 3425594034 4819570869 5528296063 5874616234 6377731982 8811924351 9566597973 9639141738 11056592126 16584888189 17623848702 19133195946 33169776378 120429632797 130743505631 226660138583 240859265594 261487011262 361288898391 392230516893 453320277166 679980415749 722577796782 784461033786 1265979798427 1359960831498 2531959596854 3797939395281 7595878790562 51905171735507 103810343471014 155715515206521 311431030413042