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42424043320 = 23517617011459
BaseRepresentation
bin100111100000101010…
…111000011100111000
311001111121022200210201
4213200222320130320
51143341023341240
631253410251544
73031210263331
oct474052703470
9131447280721
1042424043320
1116aa02a272a
12827b886bb4
134001338b19
1420a64c9288
15118470bd9a
hex9e0ab8738

42424043320 has 128 divisors (see below), whose sum is σ = 102942964800. Its totient is φ = 15676416000.

The previous prime is 42424043281. The next prime is 42424043341. The reversal of 42424043320 is 2334042424.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29076751 + ... + 29078209.

Almost surely, 242424043320 is an apocalyptic number.

42424043320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42424043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51471482400).

42424043320 is an abundant number, since it is smaller than the sum of its proper divisors (60518921480).

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

42424043320 is a wasteful number, since it uses less digits than its factorization.

42424043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42424043320 its reverse (2334042424), we get a palindrome (44758085744).

The spelling of 42424043320 in words is "forty-two billion, four hundred twenty-four million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 701 1037 1220 1402 1459 2074 2440 2804 2918 3505 4148 5185 5608 5836 7010 7295 8296 10370 11672 11917 14020 14590 20740 23834 24803 28040 29180 41480 42761 47668 49606 58360 59585 85522 88999 95336 99212 119170 124015 171044 177998 198424 213805 238340 248030 342088 355996 427610 444995 476680 496060 711992 726937 855220 889990 992120 1022759 1453874 1512983 1710440 1779980 2045518 2907748 3025966 3559960 3634685 4091036 5113795 5815496 6051932 7269370 7564915 8182072 10227590 12103864 14538740 15129830 17386903 20455180 29077480 30259660 34773806 40910360 60519320 62388299 69547612 86934515 124776598 139095224 173869030 249553196 311941495 347738060 499106392 623882990 695476120 1060601083 1247765980 2121202166 2495531960 4242404332 5303005415 8484808664 10606010830 21212021660 42424043320