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242104717725 = 352132397111301
BaseRepresentation
bin1110000101111010010…
…0001101000110011101
3212010220200201221221020
43201132210031012131
512431312301431400
6303115452154353
723330403101043
oct3413644150635
9763820657836
10242104717725
119374888a882
123ab084689b9
1319aa4451a30
14ba0a006393
15646eb062a0
hex385e90d19d

242104717725 has 96 divisors (see below), whose sum is σ = 454454079744. Its totient is φ = 112831488000.

The previous prime is 242104717663. The next prime is 242104717753. The reversal of 242104717725 is 527717401242.

242104717725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242104717725 - 26 = 242104717661 is a prime.

It is a super-2 number, since 2×2421047177252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2119575 + ... + 2230875.

It is an arithmetic number, because the mean of its divisors is an integer number (4733896664).

Almost surely, 2242104717725 is an apocalyptic number.

242104717725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242104717725 is a deficient number, since it is larger than the sum of its proper divisors (212349362019).

242104717725 is a wasteful number, since it uses less digits than its factorization.

242104717725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111447 (or 111442 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 242104717725 in words is "two hundred forty-two billion, one hundred four million, seven hundred seventeen thousand, seven hundred twenty-five".

Divisors: 1 3 5 13 15 23 25 39 65 69 75 97 115 195 291 299 325 345 485 575 897 975 1261 1455 1495 1725 2231 2425 3783 4485 6305 6693 7275 7475 11155 18915 22425 29003 31525 33465 55775 87009 94575 111301 145015 167325 333903 435045 556505 725075 1446913 1669515 2175225 2559923 2782525 4340739 7234565 7679769 8347575 10796197 12799615 21703695 32388591 33278999 36172825 38398845 53980985 63998075 99836997 108518475 140350561 161942955 166394995 191994225 248312531 269904925 421051683 499184985 701752805 744937593 809714775 831974975 1241562655 2105258415 2495924925 3228062903 3508764025 3724687965 6207813275 9684188709 10526292075 16140314515 18623439825 48420943545 80701572575 242104717725