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40076336412 = 22337287918413
BaseRepresentation
bin100101010100101111…
…000101110100011100
310211102222200211101000
4211110233011310130
51124034020231122
630224422550300
72616062144640
oct452457056434
9124388624330
1040076336412
1115aa6057792
127925598390
133a18b2c238
141d2279cc20
1510985650ac
hex954bc5d1c

40076336412 has 96 divisors (see below), whose sum is σ = 118792396800. Its totient is φ = 11445782976.

The previous prime is 40076336393. The next prime is 40076336437. The reversal of 40076336412 is 21463367004.

It is a happy number.

40076336412 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 6 + 3 + 3 + 641 + 2 = 666.

40076336412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400763364122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167318 + ... + 2185730.

It is an arithmetic number, because the mean of its divisors is an integer number (1237420800).

Almost surely, 240076336412 is an apocalyptic number.

40076336412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40076336412 is an abundant number, since it is smaller than the sum of its proper divisors (78716060388).

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

40076336412 is a wasteful number, since it uses less digits than its factorization.

40076336412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21312 (or 21304 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40076336412 in words is "forty billion, seventy-six million, three hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2879 5758 8637 11516 17274 18413 20153 25911 34548 36826 40306 51822 55239 60459 73652 77733 80612 103644 110478 120918 128891 155466 165717 181377 220956 241836 257782 310932 331434 362754 386673 497151 515564 544131 662868 725508 773346 994302 1088262 1160019 1546692 1988604 2176524 2320038 3480057 4640076 6960114 13920228 53011027 106022054 159033081 212044108 318066162 371077189 477099243 636132324 742154378 954198486 1113231567 1431297729 1484308756 1908396972 2226463134 2862595458 3339694701 4452926268 5725190916 6679389402 10019084103 13358778804 20038168206 40076336412