Search a number
-
+
40987391040 = 2633523239863
BaseRepresentation
bin100110001011000010…
…011111010001000000
310220210111000012101000
4212023002133101000
51132420233003130
630455050012000
72650464034611
oct461302372100
9126714005330
1040987391040
111642334a5a2
127b3a717000
133b327c650b
141dab795c08
1510ed527260
hex98b09f440

40987391040 has 448 divisors, whose sum is σ = 151687987200. Its totient is φ = 10398947328.

The previous prime is 40987391021. The next prime is 40987391047. The reversal of 40987391040 is 4019378904.

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 (40987391047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47493649 + ... + 47494511.

Almost surely, 240987391040 is an apocalyptic number.

40987391040 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 40987391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75843993600).

40987391040 is an abundant number, since it is smaller than the sum of its proper divisors (110700596160).

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

40987391040 is a wasteful number, since it uses less digits than its factorization.

40987391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 40987391040 in words is "forty billion, nine hundred eighty-seven million, three hundred ninety-one thousand, forty".