Search a number
-
+
40995249750 = 23253721328603
BaseRepresentation
bin100110001011100000…
…011101111001010110
310220211000210110111100
4212023200131321112
51132424240443000
630455530250530
72650620605400
oct461340357126
9126730713440
1040995249750
11164278279a4
127b41286a46
133b34318540
141dac83db70
1510ee07aa00
hex98b81de56

40995249750 has 288 divisors, whose sum is σ = 138873335328. Its totient is φ = 8649244800.

The previous prime is 40995249727. The next prime is 40995249767. The reversal of 40995249750 is 5794259904.

40995249750 is a `hidden beast` number, since 40 + 9 + 9 + 524 + 9 + 75 + 0 = 666.

40995249750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409952497502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1418949 + ... + 1447551.

It is an arithmetic number, because the mean of its divisors is an integer number (482199081).

Almost surely, 240995249750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40995249750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69436667664).

40995249750 is an abundant number, since it is smaller than the sum of its proper divisors (97878085578).

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

40995249750 is a wasteful number, since it uses less digits than its factorization.

40995249750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28653 (or 28633 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 40995249750 in words is "forty billion, nine hundred ninety-five million, two hundred forty-nine thousand, seven hundred fifty".