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400133005013412 = 2232115881171813787
BaseRepresentation
bin101101011111010110011100…
…1101000000111000110100100
31221110202100020002122212012200
41122332230321220013012210
5404421234343240412122
63535002322002014500
7150165440606612616
oct13276547150070644
91843670202585180
10400133005013412
111065494aa97a890
1238a64559947430
13142364c3b70a18
1470b477dc62db6
15313d59ebc65ac
hex16beb39a071a4

400133005013412 has 72 divisors (see below), whose sum is σ = 1103584701509472. Its totient is φ = 121231807401600.

The previous prime is 400133005013389. The next prime is 400133005013429. The reversal of 400133005013412 is 214310500331004.

It is a happy number.

400133005013412 is a `hidden beast` number, since 4 + 0 + 0 + 13 + 300 + 5 + 0 + 1 + 341 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83578018 + ... + 88235769.

Almost surely, 2400133005013412 is an apocalyptic number.

It is an amenable number.

400133005013412 is an abundant number, since it is smaller than the sum of its proper divisors (703451696496060).

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

400133005013412 is a wasteful number, since it uses less digits than its factorization.

400133005013412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171819689 (or 171819684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 400133005013412 its reverse (214310500331004), we get a palindrome (614443505344416).

The spelling of 400133005013412 in words is "four hundred trillion, one hundred thirty-three billion, five million, thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5881 11762 17643 23524 35286 52929 64691 70572 105858 129382 194073 211716 258764 388146 582219 776292 1164438 2328876 171813787 343627574 515441361 687255148 1030882722 1546324083 1889951657 2061765444 3092648166 3779903314 5669854971 6185296332 7559806628 11339709942 17009564913 22679419884 34019129826 68038259652 1010436881347 2020873762694 3031310644041 4041747525388 6062621288082 9093931932123 11114805694817 12125242576164 18187863864246 22229611389634 33344417084451 36375727728492 44459222779268 66688834168902 100033251253353 133377668337804 200066502506706 400133005013412