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40814780916 = 223713192331289
BaseRepresentation
bin100110000000110000…
…000010000111110100
310220100110012200210110
4212000300002013310
51132042040442131
630430002223020
72643266625240
oct460060020764
9126313180713
1040814780916
1116344974aa8
127ab0954a70
133b05b0c150
141d928a3420
1510dd2cd646
hex980c021f4

40814780916 has 576 divisors, whose sum is σ = 134526873600. Its totient is φ = 9333688320.

The previous prime is 40814780891. The next prime is 40814780921. The reversal of 40814780916 is 61908741804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458593000 + ... + 458593088.

It is an arithmetic number, because the mean of its divisors is an integer number (233553600).

Almost surely, 240814780916 is an apocalyptic number.

40814780916 is a gapful number since it is divisible by the number (46) 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 40814780916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67263436800).

40814780916 is an abundant number, since it is smaller than the sum of its proper divisors (93712092684).

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

40814780916 is a wasteful number, since it uses less digits than its factorization.

40814780916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 40814780916 in words is "forty billion, eight hundred fourteen million, seven hundred eighty thousand, nine hundred sixteen".