Search a number
-
+
41331178044 = 2233132953107179
BaseRepresentation
bin100110011111100001…
…111011101000111100
310221200102220101111000
4212133201323220330
51134121240144134
630553130330300
72662140134232
oct463741735074
9127612811430
1041331178044
111658a410892
128015889990
133b88ab5790
1420012c6952
15111d7d4e99
hex99f87ba3c

41331178044 has 384 divisors, whose sum is σ = 123451776000. Its totient is φ = 11867821056.

The previous prime is 41331178037. The next prime is 41331178067. The reversal of 41331178044 is 44087113314.

41331178044 is a `hidden beast` number, since 413 + 31 + 178 + 0 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230900347 + ... + 230900525.

It is an arithmetic number, because the mean of its divisors is an integer number (321489000).

Almost surely, 241331178044 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 41331178044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61725888000).

41331178044 is an abundant number, since it is smaller than the sum of its proper divisors (82120597956).

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

41331178044 is a wasteful number, since it uses less digits than its factorization.

41331178044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41331178044 in words is "forty-one billion, three hundred thirty-one million, one hundred seventy-eight thousand, forty-four".