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426291521440 = 25514983177823
BaseRepresentation
bin1100011010000001111…
…01000110011110100000
31111202022222201001011011
412031000331012132200
523441021112141230
6523500254430304
742540621101011
oct6150075063640
91452288631134
10426291521440
111548754a5614
126a750202394
1331278601615
14168bdca1008
15b14eb83e2a
hex6340f467a0

426291521440 has 48 divisors (see below), whose sum is σ = 1007186600448. Its totient is φ = 170504269056.

The previous prime is 426291521377. The next prime is 426291521519. The reversal of 426291521440 is 44125192624.

It is a super-2 number, since 2×4262915214402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 426291521393 and 426291521402.

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 7 ways as a sum of consecutive naturals, for example, 2308369 + ... + 2486191.

It is an arithmetic number, because the mean of its divisors is an integer number (20983054176).

Almost surely, 2426291521440 is an apocalyptic number.

426291521440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426291521440 is an abundant number, since it is smaller than the sum of its proper divisors (580895079008).

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

426291521440 is a wasteful number, since it uses less digits than its factorization.

426291521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192821 (or 192813 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 426291521440 in words is "four hundred twenty-six billion, two hundred ninety-one million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14983 29966 59932 74915 119864 149830 177823 239728 299660 355646 479456 599320 711292 889115 1198640 1422584 1778230 2397280 2845168 3556460 5690336 7112920 14225840 28451680 2664322009 5328644018 10657288036 13321610045 21314576072 26643220090 42629152144 53286440180 85258304288 106572880360 213145760720 426291521440