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426410342442 = 23371318611219
BaseRepresentation
bin1100011010010000000…
…10010111100000101010
31111202122021021202221000
412031020002113200222
523441242021424232
6523520141255430
742543563051640
oct6151002274052
91452567252830
10426410342442
11154926581597
126a783b64576
13312971049c6
14168d1991190
15b15a30527c
hex634809782a

426410342442 has 64 divisors (see below), whose sum is σ = 1091213798400. Its totient is φ = 120901500720.

The previous prime is 426410342437. The next prime is 426410342453. The reversal of 426410342442 is 244243014624.

426410342442 is a `hidden beast` number, since 4 + 2 + 641 + 0 + 3 + 4 + 2 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426410342397 and 426410342406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4256092 + ... + 4355127.

It is an arithmetic number, because the mean of its divisors is an integer number (17050215600).

Almost surely, 2426410342442 is an apocalyptic number.

426410342442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

426410342442 is an abundant number, since it is smaller than the sum of its proper divisors (664803455958).

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

426410342442 is a wasteful number, since it uses less digits than its factorization.

426410342442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611368 (or 8611362 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 426410342442 in words is "four hundred twenty-six billion, four hundred ten million, three hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1179 1834 2358 2751 3537 5502 7074 8253 16506 24759 49518 8611219 17222438 25833657 51667314 60278533 77500971 120557066 155001942 180835599 232502913 361671198 465005826 542506797 1085013594 1128069689 1627520391 2256139378 3255040782 3384209067 6768418134 7896487823 10152627201 15792975646 20305254402 23689463469 30457881603 47378926938 60915763206 71068390407 142136780814 213205171221 426410342442