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42215108040 = 233357231072269
BaseRepresentation
bin100111010100001101…
…110110110111001000
311000222001011200111000
4213110031312313020
51142424031424130
631220544135000
73023062332510
oct472415666710
9130861150430
1042215108040
11169a3367546
128221907460
133c99c73791
14208685c840
1511711da260
hex9d4376dc8

42215108040 has 512 divisors, whose sum is σ = 169454592000. Its totient is φ = 9139350528.

The previous prime is 42215108027. The next prime is 42215108041. The reversal of 42215108040 is 4080151224.

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 = 42215107995 and 42215108013.

It is not an unprimeable number, because it can be changed into a prime (42215108041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18604026 + ... + 18606294.

It is an arithmetic number, because the mean of its divisors is an integer number (330966000).

Almost surely, 242215108040 is an apocalyptic number.

42215108040 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 42215108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84727296000).

42215108040 is an abundant number, since it is smaller than the sum of its proper divisors (127239483960).

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

42215108040 is a wasteful number, since it uses less digits than its factorization.

42215108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 42215108040 its reverse (4080151224), we get a palindrome (46295259264).

The spelling of 42215108040 in words is "forty-two billion, two hundred fifteen million, one hundred eight thousand, forty".