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4022494131040 = 255721153880057
BaseRepresentation
bin111010100010001111010…
…101010111001101100000
3112020112202112100221202121
4322202033111113031200
51011401031444143130
612315524105154024
7563421103653100
oct72421725271540
915215675327677
104022494131040
111310a26086210
1254b70518b914
13232420129348
14dc992989200
156e97ab92d7a
hex3a88f557360

4022494131040 has 288 divisors, whose sum is σ = 12287200824864. Its totient is φ = 1230107074560.

The previous prime is 4022494130989. The next prime is 4022494131043. The reversal of 4022494131040 is 401314942204.

4022494131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4022494130987 and 4022494131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022494131043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4130692 + ... + 5010748.

It is an arithmetic number, because the mean of its divisors is an integer number (42663891753).

Almost surely, 24022494131040 is an apocalyptic number.

4022494131040 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 4022494131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143600412432).

4022494131040 is an abundant number, since it is smaller than the sum of its proper divisors (8264706693824).

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

4022494131040 is a wasteful number, since it uses less digits than its factorization.

4022494131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880150 (or 880135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 4022494131040 in words is "four trillion, twenty-two billion, four hundred ninety-four million, one hundred thirty-one thousand, forty".