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6442450940 = 2259710313221
BaseRepresentation
bin1011111111111111…
…11111111111111100
3121121222121102021002
411333333333333330
5101143231412230
62543140025432
7315435633542
oct57777777774
917558542232
106442450940
112806660822
1212b9692278
137b8951663
144518a3d92
1527a8d4545
hex17ffffffc

6442450940 has 48 divisors (see below), whose sum is σ = 13686128064. Its totient is φ = 2547148800.

The previous prime is 6442450939. The next prime is 6442450967. The reversal of 6442450940 is 490542446.

It is a super-2 number, since 2×64424509402 = 83010348228613767200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6442450894 and 6442450903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998530 + ... + 2001750.

It is an arithmetic number, because the mean of its divisors is an integer number (285127668).

Almost surely, 26442450940 is an apocalyptic number.

It is an amenable number.

6442450940 is an abundant number, since it is smaller than the sum of its proper divisors (7243677124).

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

6442450940 is a wasteful number, since it uses less digits than its factorization.

6442450940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 6442450940 is about 80264.8798666017. The cubic root of 6442450940 is about 1860.7314866750.

The spelling of 6442450940 in words is "six billion, four hundred forty-two million, four hundred fifty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1031 1940 2062 3221 4124 5155 6442 10310 12884 16105 20620 32210 64420 100007 200014 312437 400028 500035 624874 1000070 1249748 1562185 2000140 3124370 3320851 6248740 6641702 13283404 16604255 33208510 66417020 322122547 644245094 1288490188 1610612735 3221225470 6442450940