Search a number
-
+
41190696720 = 24355171131103
BaseRepresentation
bin100110010111001010…
…000010011100010000
310221022122120012100000
4212113022002130100
51133324304243340
630531151330000
72655513100545
oct462712023420
9127278505300
1041190696720
1116518090118
127b96820900
133b6596a334
141dca798bcc
1511112d5d30
hex997282710

41190696720 has 480 divisors, whose sum is σ = 153377183232. Its totient is φ = 10237280256.

The previous prime is 41190696709. The next prime is 41190696727. The reversal of 41190696720 is 2769609114.

It is a super-3 number, since 3×411906967203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41190696727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37343689 + ... + 37344791.

Almost surely, 241190696720 is an apocalyptic number.

41190696720 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 41190696720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76688591616).

41190696720 is an abundant number, since it is smaller than the sum of its proper divisors (112186486512).

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

41190696720 is a wasteful number, since it uses less digits than its factorization.

41190696720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 41190696720 in words is "forty-one billion, one hundred ninety million, six hundred ninety-six thousand, seven hundred twenty".