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42024113010 = 2345114716511
BaseRepresentation
bin100111001000110101…
…010001001101110010
311000110201210010120000
4213020311101031302
51142031133104020
631150002330430
73015253031625
oct471065211562
9130421703500
1042024113010
1116905575110
128189959a16
133c69520179
142069341dbc
15115e55e090
hex9c8d51372

42024113010 has 80 divisors (see below), whose sum is σ = 123270757632. Its totient is φ = 10187661600.

The previous prime is 42024113003. The next prime is 42024113039. The reversal of 42024113010 is 1031142024.

42024113010 is a `hidden beast` number, since 420 + 241 + 1 + 3 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2349346 + ... + 2367165.

Almost surely, 242024113010 is an apocalyptic number.

42024113010 is an abundant number, since it is smaller than the sum of its proper divisors (81246644622).

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

42024113010 is a wasteful number, since it uses less digits than its factorization.

42024113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716541 (or 4716532 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42024113010 its reverse (1031142024), we get a palindrome (43055255034).

The spelling of 42024113010 in words is "forty-two billion, twenty-four million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 4716511 9433022 14149533 23582555 28299066 42448599 47165110 51881621 70747665 84897198 103763242 127345797 141495330 155644863 212242995 254691594 259408105 311289726 382037391 424485990 466934589 518816210 636728985 764074782 778224315 933869178 1273457970 1400803767 1556448630 1910186955 2334672945 2801607534 3820373910 4202411301 4669345890 7004018835 8404822602 14008037670 21012056505 42024113010