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41931309168 = 2432783501187
BaseRepresentation
bin100111000011010011…
…010000000001110000
311000020021011012121200
4213003103100001300
51141333403343133
631132445251200
73013045150530
oct470323200160
9130207135550
1041931309168
1116868149221
128162863b00
133c53228c58
14205aca54c0
15115632b913
hex9c34d0070

41931309168 has 120 divisors (see below), whose sum is σ = 135729729408. Its totient is φ = 11836008576.

The previous prime is 41931309163. The next prime is 41931309191. The reversal of 41931309168 is 86190313914.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41931309163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 166930 + ... + 334257.

Almost surely, 241931309168 is an apocalyptic number.

41931309168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41931309168 is an abundant number, since it is smaller than the sum of its proper divisors (93798420240).

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

41931309168 is a wasteful number, since it uses less digits than its factorization.

41931309168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501291 (or 501282 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 41931309168 in words is "forty-one billion, nine hundred thirty-one million, three hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 20916 27888 41832 83664 501187 1002374 1503561 2004748 3007122 3508309 4009496 4510683 6014244 7016618 8018992 9021366 10524927 12028488 14033236 18042732 21049854 24056976 28066472 31574781 36085464 41598521 42099708 56132944 63149562 72170928 83197042 84199416 124795563 126299124 166394084 168398832 249591126 252598248 291189647 332788168 374386689 499182252 505196496 582379294 665576336 748773378 873568941 998364504 1164758588 1497546756 1747137882 1996729008 2329517176 2620706823 2995093512 3494275764 4659034352 5241413646 5990187024 6988551528 10482827292 13977103056 20965654584 41931309168