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42405363427504 = 2471171484787857
BaseRepresentation
bin10011010010001010001001…
…00111111010100010110000
312120010220122200120120122111
421221011010213322202300
521024232141014140004
6230104431030215104
711634454302610510
oct1151050447724260
9176126580516574
1042405363427504
111256a017170770
12490a53a4b4494
131a87a686a38bc
14a68605593840
154d80da3d6a04
hex2691449fa8b0

42405363427504 has 80 divisors (see below), whose sum is σ = 103876463909376. Its totient is φ = 16288871961600.

The previous prime is 42405363427459. The next prime is 42405363427507. The reversal of 42405363427504 is 40572436350424.

It is not an unprimeable number, because it can be changed into a prime (42405363427507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242306457 + ... + 242481400.

Almost surely, 242405363427504 is an apocalyptic number.

42405363427504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42405363427504 is an abundant number, since it is smaller than the sum of its proper divisors (61471100481872).

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

42405363427504 is a wasteful number, since it uses less digits than its factorization.

42405363427504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484787954 (or 484787948 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 49.

Adding to 42405363427504 its reverse (40572436350424), we get a palindrome (82977799777928).

The spelling of 42405363427504 in words is "forty-two trillion, four hundred five billion, three hundred sixty-three million, four hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 3124 3976 5467 6248 7952 10934 12496 21868 43736 87472 484787857 969575714 1939151428 3393514999 3878302856 5332666427 6787029998 7756605712 10665332854 13574059996 21330665708 27148119992 34419937847 37328664989 42661331416 54296239984 68839875694 74657329978 85322662832 137679751388 149314659956 240939564929 275359502776 298629319912 378619316317 481879129858 550719005552 597258639824 757238632634 963758259716 1514477265268 1927516519432 2650335214219 3028954530536 3855033038864 5300670428438 6057909061072 10601340856876 21202681713752 42405363427504