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42225351440 = 245679177723
BaseRepresentation
bin100111010100110100…
…111011101100010000
311000222202110002210012
4213110310323230100
51142434142221230
631221551454052
73023245364606
oct472464735420
9130882402705
1042225351440
11169a9123568
128225227328
133c9c11c06c
142087d67876
151172060395
hex9d4d3bb10

42225351440 has 40 divisors (see below), whose sum is σ = 98189661888. Its totient is φ = 16887436160.

The previous prime is 42225351391. The next prime is 42225351463. The reversal of 42225351440 is 4415352224.

42225351440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42225351397 and 42225351406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504419 + ... + 582141.

Almost surely, 242225351440 is an apocalyptic number.

42225351440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225351440 is an abundant number, since it is smaller than the sum of its proper divisors (55964310448).

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

42225351440 is a wasteful number, since it uses less digits than its factorization.

42225351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84527 (or 84521 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 42225351440 in words is "forty-two billion, two hundred twenty-five million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6791 13582 27164 33955 54328 67910 77723 108656 135820 155446 271640 310892 388615 543280 621784 777230 1243568 1554460 3108920 6217840 527816893 1055633786 2111267572 2639084465 4222535144 5278168930 8445070288 10556337860 21112675720 42225351440