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42341066624 = 273743257809
BaseRepresentation
bin100111011011101110…
…010110011110000000
311001021211012001011202
4213123232112132000
51143203303112444
631241244000332
73026152061633
oct473356263600
9131254161152
1042341066624
1116a5847904a
128257b300a8
133cba0a589c
142099489c1a
15117c2bb34e
hex9dbb96780

42341066624 has 128 divisors (see below), whose sum is σ = 89100712800. Its totient is φ = 20016267264.

The previous prime is 42341066617. The next prime is 42341066633. The reversal of 42341066624 is 42666014324.

It is a tau number, because it is divible by the number of its divisors (128).

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, 52337132 + ... + 52337940.

Almost surely, 242341066624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550356400).

42341066624 is an abundant number, since it is smaller than the sum of its proper divisors (46759646176).

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

42341066624 is a wasteful number, since it uses less digits than its factorization.

42341066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 42341066624 in words is "forty-two billion, three hundred forty-one million, sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 257 296 344 514 592 688 809 1028 1184 1376 1591 1618 2056 2368 2752 3182 3236 4112 4736 5504 6364 6472 8224 9509 11051 12728 12944 16448 19018 22102 25456 25888 29933 32896 34787 38036 44204 50912 51776 59866 69574 76072 88408 101824 103552 119732 139148 152144 176816 203648 207913 239464 278296 304288 353632 408887 415826 478928 556592 608576 707264 817774 831652 957856 1113184 1217152 1287119 1414528 1635548 1663304 1915712 2226368 2574238 3271096 3326608 3831424 4452736 5148476 6542192 6653216 7692781 8940259 10296952 13084384 13306432 15385562 17880518 20593904 26168768 26612864 30771124 35761036 41187808 52337536 61542248 71522072 82375616 123084496 143044144 164751232 246168992 286088288 330789583 492337984 572176576 661579166 984675968 1144353152 1323158332 2646316664 5292633328 10585266656 21170533312 42341066624