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40432074816 = 263724297627
BaseRepresentation
bin100101101001111100…
…001000000001000000
310212100210002012201110
4211221330020001000
51130301102343231
630324011403320
72630641652100
oct455174100100
9125323065643
1040432074816
1116168941271
127a04753540
133a74744333
141d57b21200
1510b98d4046
hex969f08040

40432074816 has 84 divisors (see below), whose sum is σ = 124442116368. Its totient is φ = 11552018688.

The previous prime is 40432074799. The next prime is 40432074821. The reversal of 40432074816 is 61847023404.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2139406 + ... + 2158221.

Almost surely, 240432074816 is an apocalyptic number.

It is an amenable number.

40432074816 is an abundant number, since it is smaller than the sum of its proper divisors (84010041552).

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

40432074816 is a wasteful number, since it uses less digits than its factorization.

40432074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297656 (or 4297639 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 40432074816 in words is "forty billion, four hundred thirty-two million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 4297627 8595254 12892881 17190508 25785762 30083389 34381016 51571524 60166778 68762032 90250167 103143048 120333556 137524064 180500334 206286096 210583723 240667112 275048128 361000668 412572192 421167446 481334224 631751169 722001336 825144384 842334892 962668448 1263502338 1444002672 1684669784 1925336896 2527004676 2888005344 3369339568 5054009352 5776010688 6738679136 10108018704 13477358272 20216037408 40432074816