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42414196224 = 293231200583
BaseRepresentation
bin100111100000000101…
…010100011000000000
311001110220210102010110
4213200011110120000
51143331013234344
631252415231320
73031030501521
oct474005243000
9131426712113
1042414196224
1116a95787434
128278518540
133ccc29ba3a
1420a5084848
1511839143b9
hex9e0154600

42414196224 has 80 divisors (see below), whose sum is σ = 117906953472. Its totient is φ = 13523355648.

The previous prime is 42414196219. The next prime is 42414196343. The reversal of 42414196224 is 42269141424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564964 + ... + 635619.

Almost surely, 242414196224 is an apocalyptic number.

It is an amenable number.

42414196224 is an abundant number, since it is smaller than the sum of its proper divisors (75492757248).

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

42414196224 is a wasteful number, since it uses less digits than its factorization.

42414196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200627 (or 1200611 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 42414196224 in words is "forty-two billion, four hundred fourteen million, one hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 35328 1200583 2401166 3601749 4802332 7203498 9604664 14406996 19209328 27613409 28813992 38418656 55226818 57627984 76837312 82840227 110453636 115255968 153674624 165680454 220907272 230511936 307349248 331360908 441814544 461023872 614698496 662721816 883629088 922047744 1325443632 1767258176 1844095488 2650887264 3534516352 5301774528 7069032704 10603549056 14138065408 21207098112 42414196224