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242014413102 = 237111017751473
BaseRepresentation
bin1110000101100100101…
…1101110000100101110
3212010200101211000021120
43201121023232010232
512431121142204402
6303102504441410
723325225366210
oct3413113560456
9763611730246
10242014413102
1193701910660
123aaa2179266
1319a8b824247
14b9dc01a5b0
156466c193bc
hex38592ee12e

242014413102 has 64 divisors (see below), whose sum is σ = 603535532544. Its totient is φ = 62853488640.

The previous prime is 242014413097. The next prime is 242014413107. The reversal of 242014413102 is 201314410242.

242014413102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242014413097) and next prime (242014413107).

It is a super-2 number, since 2×2420144131022 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242014413107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4676038 + ... + 4727510.

It is an arithmetic number, because the mean of its divisors is an integer number (9430242696).

Almost surely, 2242014413102 is an apocalyptic number.

242014413102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242014413102 is an abundant number, since it is smaller than the sum of its proper divisors (361521119442).

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

242014413102 is a wasteful number, since it uses less digits than its factorization.

242014413102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61673.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242014413102 its reverse (201314410242), we get a palindrome (443328823344).

The spelling of 242014413102 in words is "two hundred forty-two billion, fourteen million, four hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 10177 20354 30531 51473 61062 71239 102946 111947 142478 154419 213717 223894 308838 335841 360311 427434 566203 671682 720622 783629 1080933 1132406 1567258 1698609 2161866 2350887 3397218 3963421 4701774 7926842 11890263 23780526 523840721 1047681442 1571522163 3143044326 3666885047 5762247931 7333770094 11000655141 11524495862 17286743793 22001310282 34573487586 40335735517 80671471034 121007206551 242014413102