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424408476144 = 24328613090473
BaseRepresentation
bin1100010110100001011…
…01110110100111110000
31111120110202102102121210
412023100231312213300
523423142032214034
6522545350320120
742443144345022
oct6132055664760
91446422372553
10424408476144
11153a9957a834
126a305659040
1331038456033
1416781b6c012
15b08e6c48e9
hex62d0b769f0

424408476144 has 40 divisors (see below), whose sum is σ = 1096772136912. Its totient is φ = 141419998720.

The previous prime is 424408476077. The next prime is 424408476179. The reversal of 424408476144 is 441674804424.

424408476144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 424408476093 and 424408476102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407909 + ... + 1682564.

Almost surely, 2424408476144 is an apocalyptic number.

It is an amenable number.

424408476144 is an abundant number, since it is smaller than the sum of its proper divisors (672363660768).

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

424408476144 is a wasteful number, since it uses less digits than its factorization.

424408476144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093345 (or 3093339 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

The spelling of 424408476144 in words is "four hundred twenty-four billion, four hundred eight million, four hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2861 5722 8583 11444 17166 22888 34332 45776 68664 137328 3090473 6180946 9271419 12361892 18542838 24723784 37085676 49447568 74171352 148342704 8841843253 17683686506 26525529759 35367373012 53051059518 70734746024 106102119036 141469492048 212204238072 424408476144