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40122839328 = 25311137340037
BaseRepresentation
bin100101010111100000…
…011111000100100000
310211120020012102101020
4211113200133010200
51124132421324303
630233203405440
72620165335645
oct452740370440
9124506172336
1040122839328
111601a32a050
127939083880
133a25661960
141d28a25dcc
15109c69da53
hex95781f120

40122839328 has 192 divisors, whose sum is σ = 125433608832. Its totient is φ = 11069153280.

The previous prime is 40122839327. The next prime is 40122839333. The reversal of 40122839328 is 82393822104.

It is a self number, because there is not a number n which added to its sum of digits gives 40122839328.

It is not an unprimeable number, because it can be changed into a prime (40122839327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982126 + ... + 1022162.

It is an arithmetic number, because the mean of its divisors is an integer number (653300046).

Almost surely, 240122839328 is an apocalyptic number.

40122839328 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 40122839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62716804416).

40122839328 is an abundant number, since it is smaller than the sum of its proper divisors (85310769504).

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

40122839328 is a wasteful number, since it uses less digits than its factorization.

40122839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40147 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 40122839328 in words is "forty billion, one hundred twenty-two million, eight hundred thirty-nine thousand, three hundred twenty-eight".