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400100410044 = 223283133902413
BaseRepresentation
bin1011101001001111101…
…01111100001010111100
31102020201200111201200100
411310213311330022330
523023401201110134
6503445324201100
740622601241446
oct5644765741274
91366650451610
10400100410044
11144755283a05
1265660999190
132b96339667a
141551765d496
15a61a62e999
hex5d27d7c2bc

400100410044 has 36 divisors (see below), whose sum is σ = 1023550052616. Its totient is φ = 131759973408.

The previous prime is 400100409997. The next prime is 400100410091. The reversal of 400100410044 is 440014001004.

It is an interprime number because it is at equal distance from previous prime (400100409997) and next prime (400100410091).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400100409999 and 400100410026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66948219 + ... + 66954194.

It is an arithmetic number, because the mean of its divisors is an integer number (28431945906).

Almost surely, 2400100410044 is an apocalyptic number.

It is an amenable number.

400100410044 is an abundant number, since it is smaller than the sum of its proper divisors (623449642572).

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

400100410044 is a wasteful number, since it uses less digits than its factorization.

400100410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133902506 (or 133902501 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400100410044 its reverse (440014001004), we get a palindrome (840114411048).

The spelling of 400100410044 in words is "four hundred billion, one hundred million, four hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 133902413 267804826 401707239 535609652 803414478 1205121717 1606828956 2410243434 4820486868 11113900279 22227800558 33341700837 44455601116 66683401674 100025102511 133366803348 200050205022 400100410044