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400031442020 = 22572408195349
BaseRepresentation
bin1011101001000111011…
…10110110010001100100
31102020112212201210100002
411310203232312101210
523023231022121040
6503434422040432
740621103103500
oct5644356662144
91366485653302
10400031442020
1114471a358241
1265641879118
132b951cc97a2
141550c429300
15a614559a15
hex5d23bb6464

400031442020 has 36 divisors (see below), whose sum is σ = 977219667900. Its totient is φ = 137153636928.

The previous prime is 400031442017. The next prime is 400031442101. The reversal of 400031442020 is 20244130004.

It can be written as a sum of positive squares in 2 ways, for example, as 209286120484 + 190745321536 = 457478^2 + 436744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400031441983 and 400031442001.

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, 204096695 + ... + 204098654.

It is an arithmetic number, because the mean of its divisors is an integer number (27144990775).

Almost surely, 2400031442020 is an apocalyptic number.

It is an amenable number.

400031442020 is an abundant number, since it is smaller than the sum of its proper divisors (577188225880).

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

400031442020 is a wasteful number, since it uses less digits than its factorization.

400031442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408195372 (or 408195363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 400031442020 its reverse (20244130004), we get a palindrome (420275572024).

The spelling of 400031442020 in words is "four hundred billion, thirty-one million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 408195349 816390698 1632781396 2040976745 2857367443 4081953490 5714734886 8163906980 11429469772 14286837215 20001572101 28573674430 40003144202 57147348860 80006288404 100007860505 200015721010 400031442020