Search a number
-
+
41590758243840 = 2935131353730773
BaseRepresentation
bin10010111010011100110100…
…10111101111111000000000
312110021001000110012122011120
421131032122113233320000
520422410333102300330
6224242310334112240
711521555522031211
oct1135163227577000
9173231013178146
1041590758243840
11122855a583a353
1247b869894b680
131a28cb7926220
14a3b00961d408
154c1d0ecbcc10
hex25d39a5efe00

41590758243840 has 320 divisors, whose sum is σ = 143203413519936. Its totient is φ = 10236636168192.

The previous prime is 41590758243803. The next prime is 41590758243841. The reversal of 41590758243840 is 4834285709514.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41590758243841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351518694 + ... + 1351549466.

Almost surely, 241590758243840 is an apocalyptic number.

41590758243840 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 41590758243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71601706759968).

41590758243840 is an abundant number, since it is smaller than the sum of its proper divisors (101612655276096).

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

41590758243840 is a wasteful number, since it uses less digits than its factorization.

41590758243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44349 (or 44333 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 41590758243840 in words is "forty-one trillion, five hundred ninety billion, seven hundred fifty-eight million, two hundred forty-three thousand, eight hundred forty".