Search a number
-
+
41130464460156 = 22324463829330869
BaseRepresentation
bin10010101101000011011101…
…01110010011110101111100
312101122000220210020200222100
421112201232232103311330
520342340142400211111
6223251024032545100
711443402152313251
oct1126415656236574
9171560823220870
1041130464460156
1112118371a11965
1247434393b2190
1319c4780a28506
14a22a21971428
154b4d6ee8e756
hex25686eb93d7c

41130464460156 has 72 divisors (see below), whose sum is σ = 104007878694720. Its totient is φ = 13704986024064.

The previous prime is 41130464460149. The next prime is 41130464460157. The reversal of 41130464460156 is 65106446403114.

41130464460156 is a `hidden beast` number, since 4 + 1 + 1 + 30 + 4 + 6 + 4 + 4 + 601 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130464460157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332404290 + ... + 1332435158.

It is an arithmetic number, because the mean of its divisors is an integer number (1444553870760).

Almost surely, 241130464460156 is an apocalyptic number.

It is an amenable number.

41130464460156 is an abundant number, since it is smaller than the sum of its proper divisors (62877414234564).

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

41130464460156 is a wasteful number, since it uses less digits than its factorization.

41130464460156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43635 (or 43630 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 41130464460156 in words is "forty-one trillion, one hundred thirty billion, four hundred sixty-four million, four hundred sixty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4463 8293 8926 13389 16586 17852 24879 26778 30869 33172 40167 49758 53556 61738 74637 80334 92607 99516 123476 149274 160668 185214 277821 298548 370428 555642 1111284 37011659 74023318 111034977 137768347 148046636 222069954 255996617 275536694 333104931 413305041 444139908 511993234 551073388 666209862 767989851 826610082 1023986468 1239915123 1332419724 1535979702 1653220164 2303969553 2479830246 3071959404 4607939106 4959660492 9215878212 1142512901671 2285025803342 3427538705013 4570051606684 6855077410026 10282616115039 13710154820052 20565232230078 41130464460156