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42200332430040 = 23325881133056919
BaseRepresentation
bin10011001100001100001111…
…10100101110101011011000
312112102022102201120202001200
421212012013310232223120
521012402240100230130
6225430322020314200
711613605402104431
oct1146060764565330
9175368381522050
1042200332430040
11124a0073550724
124896859b42960
131a71621c91b65
14a5c715262488
154d2ada436760
hex266187d2ead8

42200332430040 has 96 divisors (see below), whose sum is σ = 137306758024800. Its totient is φ = 11240648432640.

The previous prime is 42200332430033. The next prime is 42200332430059. The reversal of 42200332430040 is 4003423300224.

42200332430040 is a `hidden beast` number, since 4 + 2 + 20 + 0 + 332 + 4 + 300 + 4 + 0 = 666.

42200332430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42200332429986 and 42200332430013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66211300 + ... + 66845619.

It is an arithmetic number, because the mean of its divisors is an integer number (1430278729425).

Almost surely, 242200332430040 is an apocalyptic number.

42200332430040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42200332430040 is an abundant number, since it is smaller than the sum of its proper divisors (95106425594760).

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

42200332430040 is a wasteful number, since it uses less digits than its factorization.

42200332430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133057817 (or 133057810 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42200332430040 its reverse (4003423300224), we get a palindrome (46203755730264).

The spelling of 42200332430040 in words is "forty-two trillion, two hundred billion, three hundred thirty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 881 1762 2643 3524 4405 5286 7048 7929 8810 10572 13215 15858 17620 21144 26430 31716 35240 39645 52860 63432 79290 105720 158580 317160 133056919 266113838 399170757 532227676 665284595 798341514 1064455352 1197512271 1330569190 1596683028 1995853785 2395024542 2661138380 3193366056 3991707570 4790049084 5322276760 5987561355 7983415140 9580098168 11975122710 15966830280 23950245420 47900490840 117223145639 234446291278 351669436917 468892582556 586115728195 703338873834 937785165112 1055008310751 1172231456390 1406677747668 1758347184585 2110016621502 2344462912780 2813355495336 3516694369170 4220033243004 4688925825560 5275041553755 7033388738340 8440066486008 10550083107510 14066777476680 21100166215020 42200332430040