Search a number
-
+
40911030832000 = 275373123710273
BaseRepresentation
bin10010100110101010101110…
…11101011100101110000000
312100212001112002011102100011
421103111113131130232000
520330241242343111000
6223002133524434304
711421503324252230
oct1123252735345600
9170761462142304
1040911030832000
11120432a83a124a
1247089b9548994
1319a9b80484aa4
14a161668b9cc0
154ae2ca8782ba
hex25355775cb80

40911030832000 has 768 divisors, whose sum is σ = 123375001875840. Its totient is φ = 13206011904000.

The previous prime is 40911030831961. The next prime is 40911030832039. The reversal of 40911030832000 is 23803011904.

40911030832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40911030831961) and next prime (40911030832039).

It is a super-2 number, since 2×409110308320002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3982378864 + ... + 3982389136.

Almost surely, 240911030832000 is an apocalyptic number.

40911030832000 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 40911030832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61687500937920).

40911030832000 is an abundant number, since it is smaller than the sum of its proper divisors (82463971043840).

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

40911030832000 is a wasteful number, since it uses less digits than its factorization.

40911030832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 40911030832000 its reverse (23803011904), we get a palindrome (40934833843904).

The spelling of 40911030832000 in words is "forty trillion, nine hundred eleven billion, thirty million, eight hundred thirty-two thousand".