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424401432040 = 235174115222433
BaseRepresentation
bin1100010110100000100…
…10111110110111101000
31111120110021011112221001
412023100102332313220
523423133231311130
6522544535324344
742443030436205
oct6132022766750
91446407145831
10424401432040
11153a955a9463
126a3032206b4
1331036b5aa21
1416780c56cac
15b08dc826ca
hex62d04bede8

424401432040 has 64 divisors (see below), whose sum is σ = 1035734409360. Its totient is φ = 155877703680.

The previous prime is 424401431981. The next prime is 424401432047. The reversal of 424401432040 is 40234104424.

It can be written as a sum of positive squares in 8 ways, for example, as 113610791844 + 310790640196 = 337062^2 + 557486^2 .

It is not an unprimeable number, because it can be changed into a prime (424401432047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7583337 + ... + 7639096.

Almost surely, 2424401432040 is an apocalyptic number.

424401432040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424401432040 is an abundant number, since it is smaller than the sum of its proper divisors (611332977320).

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

424401432040 is a wasteful number, since it uses less digits than its factorization.

424401432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222502 (or 15222498 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 424401432040 its reverse (40234104424), we get a palindrome (464635536464).

The spelling of 424401432040 in words is "four hundred twenty-four billion, four hundred one million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6970 13940 27880 15222433 30444866 60889732 76112165 121779464 152224330 258781361 304448660 517562722 608897320 624119753 1035125444 1248239506 1293906805 2070250888 2496479012 2587813610 3120598765 4992958024 5175627220 6241197530 10351254440 10610035801 12482395060 21220071602 24964790120 42440143204 53050179005 84880286408 106100358010 212200716020 424401432040