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4242310740 = 2233517943889
BaseRepresentation
bin1111110011011100…
…1000011001010100
3101221122122201022000
43330313020121110
532142012420430
61540543235300
7210062021613
oct37467103124
911848581260
104242310740
111887745938
129a48a8b30
13527ba1255
142c35cb87a
1519c68ae60
hexfcdc8654

4242310740 has 96 divisors (see below), whose sum is σ = 13272336000. Its totient is φ = 1124937216.

The previous prime is 4242310711. The next prime is 4242310753. The reversal of 4242310740 is 470132424.

4242310740 is a `hidden beast` number, since 424 + 231 + 0 + 7 + 4 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74716 + ... + 118604.

It is an arithmetic number, because the mean of its divisors is an integer number (138253500).

Almost surely, 24242310740 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 4242310740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168000).

4242310740 is an abundant number, since it is smaller than the sum of its proper divisors (9030025260).

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

4242310740 is a wasteful number, since it uses less digits than its factorization.

4242310740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44086 (or 44078 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4242310740 is about 65133.0234213030. The cubic root of 4242310740 is about 1618.8284396430.

The spelling of 4242310740 in words is "four billion, two hundred forty-two million, three hundred ten thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 43889 48330 87778 96660 131667 175556 219445 263334 395001 438890 526668 658335 790002 877780 1185003 1316670 1580004 1975005 2370006 2633340 3950010 4740012 5925015 7856131 7900020 11850030 15712262 23568393 23700060 31424524 39280655 47136786 70705179 78561310 94273572 117841965 141410358 157122620 212115537 235683930 282820716 353525895 424231074 471367860 707051790 848462148 1060577685 1414103580 2121155370 4242310740