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40950379008 = 2933711173173
BaseRepresentation
bin100110001000110101…
…010011001000000000
310220200220100210102000
4212020311103020000
51132331244112013
630451244424000
72646534323040
oct461065231000
9126626323360
1040950379008
111640446a940
127b2a248000
133b27c379c6
141da68bd720
1510ea165973
hex988d53200

40950379008 has 1280 divisors, whose sum is σ = 167440711680. Its totient is φ = 9555148800.

The previous prime is 40950378979. The next prime is 40950379069. The reversal of 40950379008 is 80097305904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560964060 + ... + 560964132.

It is an arithmetic number, because the mean of its divisors is an integer number (130813056).

Almost surely, 240950379008 is an apocalyptic number.

40950379008 is a gapful number since it is divisible by the number (48) 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 40950379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83720355840).

40950379008 is an abundant number, since it is smaller than the sum of its proper divisors (126490332672).

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

40950379008 is a wasteful number, since it uses less digits than its factorization.

40950379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40950379008 in words is "forty billion, nine hundred fifty million, three hundred seventy-nine thousand, eight".