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242213412040 = 2358372955847
BaseRepresentation
bin1110000110010100001…
…0110101110011001000
3212011012021021012111121
43201211002311303020
512432023113141130
6303134334005024
723333163014065
oct3414502656310
9764167235447
10242213412040
11937a417a496
123ab38946774
1319ac0b1a9b2
14ba1a61bc6c
156479426d7a
hex38650b5cc8

242213412040 has 32 divisors (see below), whose sum is σ = 551546210880. Its totient is φ = 95718069952.

The previous prime is 242213412037. The next prime is 242213412041. The reversal of 242213412040 is 40214312242.

It is a junction number, because it is equal to n+sod(n) for n = 242213411996 and 242213412014.

It is not an unprimeable number, because it can be changed into a prime (242213412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36474604 + ... + 36481243.

It is an arithmetic number, because the mean of its divisors is an integer number (17235819090).

Almost surely, 2242213412040 is an apocalyptic number.

242213412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242213412040 is an abundant number, since it is smaller than the sum of its proper divisors (309332798840).

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

242213412040 is a wasteful number, since it uses less digits than its factorization.

242213412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72955941 (or 72955937 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 242213412040 its reverse (40214312242), we get a palindrome (282427724282).

The spelling of 242213412040 in words is "two hundred forty-two billion, two hundred thirteen million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 72955847 145911694 291823388 364779235 583646776 729558470 1459116940 2918233880 6055335301 12110670602 24221341204 30276676505 48442682408 60553353010 121106706020 242213412040