Search a number
-
+
41865741438912 = 2633313737955733
BaseRepresentation
bin10011000010011101000001…
…01001011000111111000000
312111020022210111121022002000
421201032200221120333000
520441412014302021122
6225012504530224000
711550462046441326
oct1141164051307700
9174208714538060
1041865741438912
1112381185671856
124841a40125000
131a48bcb8b6581
14a4a454081d16
154c905608a0ac
hex2613a0a58fc0

41865741438912 has 448 divisors, whose sum is σ = 130828118937600. Its totient is φ = 13105170247680.

The previous prime is 41865741438799. The next prime is 41865741438931. The reversal of 41865741438912 is 21983414756814.

It is a happy number.

41865741438912 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 574 + 1 + 43 + 8 + 9 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41865741438912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751156198 + ... + 751211930.

It is an arithmetic number, because the mean of its divisors is an integer number (292027051200).

Almost surely, 241865741438912 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 41865741438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65414059468800).

41865741438912 is an abundant number, since it is smaller than the sum of its proper divisors (88962377498688).

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

41865741438912 is a wasteful number, since it uses less digits than its factorization.

41865741438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56201 (or 56185 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 41865741438912 in words is "forty-one trillion, eight hundred sixty-five billion, seven hundred forty-one million, four hundred thirty-eight thousand, nine hundred twelve".