Search a number
-
+
40281154560 = 2103251751421
BaseRepresentation
bin100101100000111100…
…011010010000000000
310211222021002200001100
4211200330122100000
51124443433421220
630301020534400
72624130110253
oct454074322000
9124867080040
1040281154560
11160a0730689
1279820b1400
133a4c3b25ca
141d41a7709a
1510ab521d90
hex960f1a400

40281154560 has 264 divisors, whose sum is σ = 147786210936. Its totient is φ = 10109583360.

The previous prime is 40281154519. The next prime is 40281154579. The reversal of 40281154560 is 6545118204.

It is a happy number.

40281154560 is a `hidden beast` number, since 4 + 0 + 2 + 81 + 15 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10121969664 + 30159184896 = 100608^2 + 173664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757650 + ... + 809070.

Almost surely, 240281154560 is an apocalyptic number.

40281154560 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 40281154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73893105468).

40281154560 is an abundant number, since it is smaller than the sum of its proper divisors (107505056376).

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

40281154560 is a wasteful number, since it uses less digits than its factorization.

40281154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51469 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40281154560 in words is "forty billion, two hundred eighty-one million, one hundred fifty-four thousand, five hundred sixty".