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400440480444 = 223211123346679
BaseRepresentation
bin1011101001111000001…
…11001101001010111100
31102021121101102002120100
411310330013031022330
523030100230333234
6503543153121100
740634200631364
oct5647407151274
91367541362510
10400440480444
1114490a236924
1265736859190
132b9b8984064
141554a8a39a4
15a63a406399
hex5d3c1cd2bc

400440480444 has 18 divisors (see below), whose sum is σ = 1012224547880. Its totient is φ = 133480160136.

The previous prime is 400440480431. The next prime is 400440480529. The reversal of 400440480444 is 444084044004.

It is a happy number.

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

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: 11123346679 = 400440480444 / (4 + 0 + 0 + 4 + 4 + 0 + 4 + 8 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 400440480399 and 400440480408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561673304 + ... + 5561673375.

Almost surely, 2400440480444 is an apocalyptic number.

It is an amenable number.

400440480444 is an abundant number, since it is smaller than the sum of its proper divisors (611784067436).

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

400440480444 is a wasteful number, since it uses less digits than its factorization.

400440480444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123346689 (or 11123346684 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 400440480444 in words is "four hundred billion, four hundred forty million, four hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11123346679 22246693358 33370040037 44493386716 66740080074 100110120111 133480160148 200220240222 400440480444