Search a number
-
+
41230126004992 = 28257677925663
BaseRepresentation
bin10010101111111101000110…
…00000111011101100000000
312101222120011101000202000121
421113332203000323230000
520401003244224124432
6223404505225430024
711453530646420101
oct1127764300735400
9171876141022017
1041230126004992
1112156664298651
12475a81193b314
131a00ca4394812
14a27797a8c3a8
154b7754621197
hex257fa303bb00

41230126004992 has 72 divisors (see below), whose sum is σ = 82741554112896. Its totient is φ = 20504494473216.

The previous prime is 41230126004927. The next prime is 41230126005109. The reversal of 41230126004992 is 29940062103214.

It is a super-3 number, since 3×412301260049923 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44078353 + ... + 45004015.

It is an arithmetic number, because the mean of its divisors is an integer number (1149188251568).

Almost surely, 241230126004992 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 41230126004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370777056448).

41230126004992 is an abundant number, since it is smaller than the sum of its proper divisors (41511428107904).

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

41230126004992 is an equidigital number, since it uses as much as digits as its factorization.

41230126004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926613 (or 926599 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 41230126004992 in words is "forty-one trillion, two hundred thirty billion, one hundred twenty-six million, four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 514 677 1028 1354 2056 2708 4112 5416 8224 10832 16448 21664 32896 43328 65792 86656 173312 173989 347978 695956 925663 1391912 1851326 2783824 3702652 5567648 7405304 11135296 14810608 22270592 29621216 44541184 59242432 118484864 236969728 237895391 475790782 626673851 951581564 1253347702 1903163128 2506695404 3806326256 5013390808 7612652512 10026781616 15225305024 20053563232 30450610048 40107126464 60901220096 80214252928 160428505856 161055179707 322110359414 644220718828 1288441437656 2576882875312 5153765750624 10307531501248 20615063002496 41230126004992