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400472206344 = 23327794587711
BaseRepresentation
bin1011101001111100000…
…00001110110000001000
31102021200121002221022200
411310332000032300020
523030131341100334
6503550245120200
740635034405620
oct5647600166010
91367617087280
10400472206344
11144926135a81
12657453b9060
132b9c2411792
1415550ba1880
15a63d0c1799
hex5d3e00ec08

400472206344 has 48 divisors (see below), whose sum is σ = 1239556830720. Its totient is φ = 114420630240.

The previous prime is 400472206331. The next prime is 400472206361. The reversal of 400472206344 is 443602274004.

400472206344 is a `hidden beast` number, since 40 + 0 + 4 + 72 + 206 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400472206299 and 400472206308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397293352 + ... + 397294359.

It is an arithmetic number, because the mean of its divisors is an integer number (25824100640).

Almost surely, 2400472206344 is an apocalyptic number.

It is an amenable number.

400472206344 is an abundant number, since it is smaller than the sum of its proper divisors (839084624376).

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

400472206344 is a wasteful number, since it uses less digits than its factorization.

400472206344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794587730 (or 794587723 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 400472206344 in words is "four hundred billion, four hundred seventy-two million, two hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 794587711 1589175422 2383763133 3178350844 4767526266 5562113977 6356701688 7151289399 9535052532 11124227954 14302578798 16686341931 19070105064 22248455908 28605157596 33372683862 44496911816 50059025793 57210315192 66745367724 100118051586 133490735448 200236103172 400472206344