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42225366344 = 23741107171877
BaseRepresentation
bin100111010100110100…
…111111010101001000
311000222202110212020012
4213110310333111020
51142434143210334
631221552051052
73023245456220
oct472464772510
9130882425205
1042225366344
11169a9133787
128225233a88
133c9c125a95
142087d6d080
1511720649ce
hex9d4d3f548

42225366344 has 64 divisors (see below), whose sum is σ = 93556632960. Its totient is φ = 17490101760.

The previous prime is 42225366331. The next prime is 42225366367. The reversal of 42225366344 is 44366352224.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159734 + ... + 331610.

It is an arithmetic number, because the mean of its divisors is an integer number (1461822390).

Almost surely, 242225366344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225366344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46778316480).

42225366344 is an abundant number, since it is smaller than the sum of its proper divisors (51331266616).

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

42225366344 is a wasteful number, since it uses less digits than its factorization.

42225366344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172038 (or 172034 counting only the distinct ones).

The product of its digits is 829440, while the sum is 41.

The spelling of 42225366344 in words is "forty-two billion, two hundred twenty-five million, three hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 107 164 214 287 328 428 574 749 856 1148 1498 2296 2996 4387 5992 8774 17548 30709 35096 61418 122836 171877 245672 343754 687508 1203139 1375016 2406278 4812556 7046957 9625112 14093914 18390839 28187828 36781678 49328699 56375656 73563356 98657398 128735873 147126712 197314796 257471746 394629592 514943492 754024399 1029886984 1508048798 3016097596 5278170793 6032195192 10556341586 21112683172 42225366344