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40236246960 = 24357133794861
BaseRepresentation
bin100101011110010001…
…000110011110110000
310211212010121010101220
4211132101012132300
51124400434400320
630252334225040
72623043312310
oct453621063660
9124763533356
1040236246960
1116078348968
12796b055180
133a42cbb070
141d39b07440
1510a7600e40
hex95e4467b0

40236246960 has 320 divisors, whose sum is σ = 153953479680. Its totient is φ = 8465264640.

The previous prime is 40236246949. The next prime is 40236247021. The reversal of 40236246960 is 6964263204.

It is a super-2 number, since 2×402362469602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8274930 + ... + 8279790.

It is an arithmetic number, because the mean of its divisors is an integer number (481104624).

Almost surely, 240236246960 is an apocalyptic number.

40236246960 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 40236246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76976739840).

40236246960 is an abundant number, since it is smaller than the sum of its proper divisors (113717232720).

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

40236246960 is a wasteful number, since it uses less digits than its factorization.

40236246960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 40236246960 in words is "forty billion, two hundred thirty-six million, two hundred forty-six thousand, nine hundred sixty".