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42316223040 = 26335713107503
BaseRepresentation
bin100111011010001111…
…100101001001000000
311001020002102212012000
4213122033211021000
51143130423114130
631234555304000
73025430650440
oct473217451100
9131202385160
1042316223040
1116a4544a763
12824b74b000
133cb4bb7940
142096060120
15117a010260
hex9da3e5240

42316223040 has 896 divisors, whose sum is σ = 185817784320. Its totient is φ = 8827232256.

The previous prime is 42316223039. The next prime is 42316223057. The reversal of 42316223040 is 4032261324.

42316223040 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 622 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42316222995 and 42316223013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84127429 + ... + 84127931.

It is an arithmetic number, because the mean of its divisors is an integer number (207385920).

Almost surely, 242316223040 is an apocalyptic number.

42316223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42316223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908892160).

42316223040 is an abundant number, since it is smaller than the sum of its proper divisors (143501561280).

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

42316223040 is a wasteful number, since it uses less digits than its factorization.

42316223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42316223040 its reverse (4032261324), we get a palindrome (46348484364).

It can be divided in two parts, 42316 and 223040, that added together give a triangular number (265356 = T728).

The spelling of 42316223040 in words is "forty-two billion, three hundred sixteen million, two hundred twenty-three thousand, forty".