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242144723256040 = 23511550328916491
BaseRepresentation
bin110111000011101010110110…
…001101101100001011101000
31011202100210212002202001211001
4313003222312031230023220
5223214244343123143130
62214555430012244344
7102001243655303443
oct6703526615541350
91152323762661731
10242144723256040
117017800063a530
12231a9329a706b4
13a5161c3393c47
1443b1c1d60065a
151cedb174986ca
hexdc3ab636c2e8

242144723256040 has 32 divisors (see below), whose sum is σ = 594355229811360. Its totient is φ = 88052626638400.

The previous prime is 242144723256017. The next prime is 242144723256043. The reversal of 242144723256040 is 40652327441242.

It is not an unprimeable number, because it can be changed into a prime (242144723256043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275164457806 + ... + 275164458685.

It is an arithmetic number, because the mean of its divisors is an integer number (18573600931605).

Almost surely, 2242144723256040 is an apocalyptic number.

242144723256040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242144723256040 is an abundant number, since it is smaller than the sum of its proper divisors (352210506555320).

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

242144723256040 is a wasteful number, since it uses less digits than its factorization.

242144723256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550328916513 (or 550328916509 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 46.

The spelling of 242144723256040 in words is "two hundred forty-two trillion, one hundred forty-four billion, seven hundred twenty-three million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 550328916491 1100657832982 2201315665964 2751644582455 4402631331928 5503289164910 6053618081401 11006578329820 12107236162802 22013156659640 24214472325604 30268090407005 48428944651208 60536180814010 121072361628020 242144723256040