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400131021410120 = 2357111383120400991
BaseRepresentation
bin101101011111010101100001…
…1011001010000111101001000
31221110202011002212011101001002
41122332223003121100331020
5404421221312440110440
63535001353102314132
7150165340502351630
oct13276530331207510
91843664085141032
10400131021410120
11106548682212320
1238a640a5588948
1314236268c17970
1470b46326356c0
15313d4d59a2115
hex16beac3650f48

400131021410120 has 256 divisors, whose sum is σ = 1223351135354880. Its totient is φ = 113735591193600.

The previous prime is 400131021410069. The next prime is 400131021410167. The reversal of 400131021410120 is 21014120131004.

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 = 400131021410092 and 400131021410101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56877176 + ... + 63523815.

It is an arithmetic number, because the mean of its divisors is an integer number (4778715372480).

Almost surely, 2400131021410120 is an apocalyptic number.

400131021410120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400131021410120 is an abundant number, since it is smaller than the sum of its proper divisors (823220113944760).

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

400131021410120 is a wasteful number, since it uses less digits than its factorization.

400131021410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120401116 (or 120401112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 400131021410120 its reverse (21014120131004), we get a palindrome (421145141541124).

The spelling of 400131021410120 in words is "four hundred trillion, one hundred thirty-one billion, twenty-one million, four hundred ten thousand, one hundred twenty".