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41290606332 = 22341753141443
BaseRepresentation
bin100110011101000111…
…001010011011111100
310221120121120010120000
4212131013022123330
51134030343400312
630545120554300
72661135235323
oct463507123374
9127517503500
1041290606332
111656951a748
128004182990
133b8057b951
141dd9b650ba
151119e6dadc
hex99d1ca6fc

41290606332 has 120 divisors (see below), whose sum is σ = 116448582096. Its totient is φ = 12709412352.

The previous prime is 41290606309. The next prime is 41290606339. The reversal of 41290606332 is 23360609214.

41290606332 is a `hidden beast` number, since 4 + 12 + 9 + 0 + 6 + 0 + 633 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41290606339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221203 + ... + 362645.

Almost surely, 241290606332 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 41290606332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58224291048).

41290606332 is an abundant number, since it is smaller than the sum of its proper divisors (75157975764).

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

41290606332 is a wasteful number, since it uses less digits than its factorization.

41290606332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141529 (or 141518 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 41290606332 in words is "forty-one billion, two hundred ninety million, six hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 81 102 106 108 153 159 162 204 212 306 318 324 459 477 612 636 901 918 954 1377 1431 1802 1836 1908 2703 2754 2862 3604 4293 5406 5508 5724 8109 8586 10812 16218 17172 24327 32436 48654 72981 97308 141443 145962 282886 291924 424329 565772 848658 1272987 1697316 2404531 2545974 3818961 4809062 5091948 7213593 7496479 7637922 9618124 11456883 14427186 14992958 15275844 21640779 22489437 22913766 28854372 29985916 43281558 44978874 45827532 64922337 67468311 86563116 89957748 127440143 129844674 134936622 194767011 202404933 254880286 259689348 269873244 382320429 389534022 404809866 509760572 607214799 764640858 779068044 809619732 1146961287 1214429598 1529281716 2293922574 2428859196 3440883861 4587845148 6881767722 10322651583 13763535444 20645303166 41290606332