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40412408448 = 273105240647
BaseRepresentation
bin100101101000110001…
…000110101010000000
310212022102002001112110
4211220301012222000
51130231034032243
630322030055320
72630312542536
oct455061065200
9125272061473
1040412408448
1116158829675
1279ba04a540
133a70649a29
141d55282156
1510b7cebe33
hex968c46a80

40412408448 has 32 divisors (see below), whose sum is σ = 107345460960. Its totient is φ = 13470802688.

The previous prime is 40412408447. The next prime is 40412408489. The reversal of 40412408448 is 84480421404.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40412408441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52619940 + ... + 52620707.

It is an arithmetic number, because the mean of its divisors is an integer number (3354545655).

Almost surely, 240412408448 is an apocalyptic number.

40412408448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40412408448 is an abundant number, since it is smaller than the sum of its proper divisors (66933052512).

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

40412408448 is a wasteful number, since it uses less digits than its factorization.

40412408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105240664 (or 105240652 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 39.

The spelling of 40412408448 in words is "forty billion, four hundred twelve million, four hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 105240647 210481294 315721941 420962588 631443882 841925176 1262887764 1683850352 2525775528 3367700704 5051551056 6735401408 10103102112 13470802816 20206204224 40412408448