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42332110040 = 23511175659373
BaseRepresentation
bin100111011011001100…
…001011110011011000
311001021012100000001102
4213123030023303120
51143144010010130
631240324010532
73026012666303
oct473314136330
9131235300042
1042332110040
1116a53410910
128254b30a48
133cb828ac2c
1420981d7b3a
15117b5ec645
hex9db30bcd8

42332110040 has 64 divisors (see below), whose sum is σ = 110018230560. Its totient is φ = 14487992320.

The previous prime is 42332110039. The next prime is 42332110081. The reversal of 42332110040 is 4001123324.

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 = 42332109994 and 42332110021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2822207 + ... + 2837166.

Almost surely, 242332110040 is an apocalyptic number.

42332110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332110040 is an abundant number, since it is smaller than the sum of its proper divisors (67686120520).

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

42332110040 is a wasteful number, since it uses less digits than its factorization.

42332110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659412 (or 5659408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42332110040 its reverse (4001123324), we get a palindrome (46333233364).

The spelling of 42332110040 in words is "forty-two billion, three hundred thirty-two million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 5659373 11318746 22637492 28296865 45274984 56593730 62253103 96209341 113187460 124506206 192418682 226374920 249012412 311265515 384837364 481046705 498024824 622531030 769674728 962093410 1058302751 1245062060 1924186820 2116605502 2490124120 3848373640 4233211004 5291513755 8466422008 10583027510 21166055020 42332110040