Search a number
-
+
41911745863680 = 2133457211231019
BaseRepresentation
bin10011000011110010101101…
…01110010110000000000000
312111101201112122001012220000
421201321112232112000000
520443140223420114210
6225045553520520000
711554011063546600
oct1141712656260000
9174351478035800
1041911745863680
11123997429a3010
12484a93aa80000
131a503509238a4
14a4c779c90c00
154ca349c80ac0
hex261e56b96000

41911745863680 has 3360 divisors, whose sum is σ = 199157913250560. Its totient is φ = 8322109931520.

The previous prime is 41911745863661. The next prime is 41911745863697. The reversal of 41911745863680 is 8636854711914.

41911745863680 is a `hidden beast` number, since 4 + 1 + 9 + 1 + 17 + 4 + 586 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41130270211 + ... + 41130271229.

Almost surely, 241911745863680 is an apocalyptic number.

41911745863680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41911745863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578956625280).

41911745863680 is an abundant number, since it is smaller than the sum of its proper divisors (157246167386880).

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

41911745863680 is a wasteful number, since it uses less digits than its factorization.

41911745863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 41911745863680 in words is "forty-one trillion, nine hundred eleven billion, seven hundred forty-five million, eight hundred sixty-three thousand, six hundred eighty".