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400133151412401 = 311257927971680919
BaseRepresentation
bin101101011111010110100001…
…0010110100101000010110001
31221110202100121022010200212110
41122332231002112211002301
5404421240143230144101
63535002344311515533
7150165444335154051
oct13276550226450261
91843670538120773
10400133151412401
11106549575582590
1238a6459a988ba9
13142365182ab844
1470b4795491561
15313d5ac993cd6
hex16beb425a50b1

400133151412401 has 32 divisors (see below), whose sum is σ = 582446041574400. Its totient is φ = 242324097295680.

The previous prime is 400133151412289. The next prime is 400133151412451. The reversal of 400133151412401 is 104214151331004.

It is a happy number.

It is not a de Polignac number, because 400133151412401 - 234 = 400115971543217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400133151412451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237203820 + ... + 238884738.

It is an arithmetic number, because the mean of its divisors is an integer number (18201438799200).

Almost surely, 2400133151412401 is an apocalyptic number.

It is an amenable number.

400133151412401 is a deficient number, since it is larger than the sum of its proper divisors (182312890161999).

400133151412401 is a wasteful number, since it uses less digits than its factorization.

400133151412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686309.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 400133151412401 in words is "four hundred trillion, one hundred thirty-three billion, one hundred fifty-one million, four hundred twelve thousand, four hundred one".

Divisors: 1 3 11 33 2579 2797 7737 8391 28369 30767 85107 92301 1680919 5042757 7213463 18490109 21640389 55470327 79348093 238044279 4335090101 4701530443 13005270303 14104591329 47685991111 51716834873 143057973333 155150504619 12125247012497 36375741037491 133377717137467 400133151412401