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42423201144 = 233469119473
BaseRepresentation
bin100111100000100111…
…101010110101111000
311001111112201220120000
4213200213222311320
51143340314414034
631253340233000
73031200155112
oct474047526570
9131445656500
1042423201144
1116a9a877a15
12827b53b760
1340011026ac
1420a634a3b2
1511845e2599
hex9e09ead78

42423201144 has 80 divisors (see below), whose sum is σ = 118853982720. Its totient is φ = 14137528320.

The previous prime is 42423201103. The next prime is 42423201151. The reversal of 42423201144 is 44110232424.

42423201144 is a `hidden beast` number, since 424 + 23 + 201 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 4473592 + ... + 4483064.

It is an arithmetic number, because the mean of its divisors is an integer number (1485674784).

Almost surely, 242423201144 is an apocalyptic number.

It is an amenable number.

42423201144 is an abundant number, since it is smaller than the sum of its proper divisors (76430781576).

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

42423201144 is a wasteful number, since it uses less digits than its factorization.

42423201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16402 (or 16389 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42423201144 its reverse (44110232424), we get a palindrome (86533433568).

The spelling of 42423201144 in words is "forty-two billion, four hundred twenty-three million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6911 9473 13822 18946 20733 27644 28419 37892 41466 55288 56838 62199 75784 82932 85257 113676 124398 165864 170514 186597 227352 248796 255771 341028 373194 497592 511542 559791 682056 746388 767313 1023084 1119582 1492776 1534626 2046168 2239164 3069252 4478328 6138504 65467903 130935806 196403709 261871612 392807418 523743224 589211127 785614836 1178422254 1571229672 1767633381 2356844508 3535266762 4713689016 5302900143 7070533524 10605800286 14141067048 21211600572 42423201144