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401807318004 = 223211161314389
BaseRepresentation
bin1011101100011011001…
…01010001101111110100
31102102010122100122012200
411312031211101233310
523040400133134004
6504330541144500
741013105564501
oct5661545215764
91372118318180
10401807318004
11145450835144
1265a5855b130
132bb75bc1291
141563a2224a8
15a6ba3ea239
hex5d8d951bf4

401807318004 has 18 divisors (see below), whose sum is σ = 1015679609490. Its totient is φ = 133935772656.

The previous prime is 401807317973. The next prime is 401807318009. The reversal of 401807318004 is 400813708104.

401807318004 is a `hidden beast` number, since 401 + 8 + 0 + 73 + 180 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245869205904 + 155938112100 = 495852^2 + 394890^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4018073180042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11161314389 = 401807318004 / (4 + 0 + 1 + 8 + 0 + 7 + 3 + 1 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 401807318004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401807318009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5580657159 + ... + 5580657230.

Almost surely, 2401807318004 is an apocalyptic number.

It is an amenable number.

401807318004 is an abundant number, since it is smaller than the sum of its proper divisors (613872291486).

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

401807318004 is a wasteful number, since it uses less digits than its factorization.

401807318004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161314399 (or 11161314394 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 401807318004 in words is "four hundred one billion, eight hundred seven million, three hundred eighteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 11161314389 22322628778 33483943167 44645257556 66967886334 100451829501 133935772668 200903659002 401807318004