Search a number
-
+
34181446116 = 2233783927533
BaseRepresentation
bin11111110101010111…
…110111100111100100
310021020011102101002210
4133311113313213210
51030000422233431
623411443003420
72320022332566
oct376527674744
9107204371083
1034181446116
1113550598424
12675b369570
1332b977597c
141923911336
15d50c90d46
hex7f55f79e4

34181446116 has 48 divisors (see below), whose sum is σ = 82899278784. Its totient is φ = 10952297856.

The previous prime is 34181446099. The next prime is 34181446127. The reversal of 34181446116 is 61164418143.

It is a super-2 number, since 2×341814461162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426915 + ... + 500618.

It is an arithmetic number, because the mean of its divisors is an integer number (1727068308).

Almost surely, 234181446116 is an apocalyptic number.

It is an amenable number.

34181446116 is an abundant number, since it is smaller than the sum of its proper divisors (48717832668).

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

34181446116 is a wasteful number, since it uses less digits than its factorization.

34181446116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927660 (or 927658 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 34181446116 in words is "thirty-four billion, one hundred eighty-one million, four hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 37 74 83 111 148 166 222 249 332 444 498 996 3071 6142 9213 12284 18426 36852 927533 1855066 2782599 3710132 5565198 11130396 34318721 68637442 76985239 102956163 137274884 153970478 205912326 230955717 307940956 411824652 461911434 923822868 2848453843 5696907686 8545361529 11393815372 17090723058 34181446116