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240422206235040 = 2532519311165724317
BaseRepresentation
bin110110101010100110101000…
…001100101110000110100000
31011112021010201221002001122100
4312222212220030232012200
5223003034134244010130
62211200234202410400
7101432634253224354
oct6652465014560640
91145233657061570
10240422206235040
116a673537697885
1222b6b526500a00
13a41c941974c0b
1443526d55a9464
151cbddeee6ec60
hexdaa9a832e1a0

240422206235040 has 576 divisors, whose sum is σ = 891593782410240. Its totient is φ = 58771484098560.

The previous prime is 240422206234997. The next prime is 240422206235069. The reversal of 240422206235040 is 40532602224042.

240422206235040 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 2 + 20 + 623 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240422206234986 and 240422206235004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9886988962 + ... + 9887013278.

It is an arithmetic number, because the mean of its divisors is an integer number (1547905872240).

Almost surely, 2240422206235040 is an apocalyptic number.

240422206235040 is a gapful number since it is divisible by the number (20) 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 240422206235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445796891205120).

240422206235040 is an abundant number, since it is smaller than the sum of its proper divisors (651171576175200).

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

240422206235040 is a wasteful number, since it uses less digits than its factorization.

240422206235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36045 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 240422206235040 its reverse (40532602224042), we get a palindrome (280954808459082).

The spelling of 240422206235040 in words is "two hundred forty trillion, four hundred twenty-two billion, two hundred six million, two hundred thirty-five thousand, forty".