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40379009328 = 2434729314951
BaseRepresentation
bin100101100110110001…
…101100100100110000
310212020002020012120000
4211212301230210300
51130144011244303
630314434150000
72626425626160
oct454661544460
9125202205500
1040379009328
1116140997399
1279aaa22300
133a66754838
141d50a6a5a0
1510b4e00da3
hex966c6c930

40379009328 has 400 divisors, whose sum is σ = 142655631360. Its totient is φ = 10777536000.

The previous prime is 40379009273. The next prime is 40379009339. The reversal of 40379009328 is 82390097304.

It is a happy number.

It is a super-2 number, since 2×403790093282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8153253 + ... + 8158203.

Almost surely, 240379009328 is an apocalyptic number.

40379009328 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 40379009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71327815680).

40379009328 is an abundant number, since it is smaller than the sum of its proper divisors (102276622032).

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

40379009328 is a wasteful number, since it uses less digits than its factorization.

40379009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40379009328 in words is "forty billion, three hundred seventy-nine million, nine thousand, three hundred twenty-eight".