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242420334024 = 233112381385661
BaseRepresentation
bin1110000111000101100…
…0001011110111001000
3212011201200121221002210
43201301120023313020
512432434101142044
6303211045025120
723341254561141
oct3416130136710
9764650557083
10242420334024
119389aa5aaa0
123ab960b51a0
1319b2495983b
14ba39cc2ac8
15648c69c1b9
hex387160bdc8

242420334024 has 64 divisors (see below), whose sum is σ = 661425756480. Its totient is φ = 73429664000.

The previous prime is 242420333927. The next prime is 242420334053. The reversal of 242420334024 is 420433024242.

It is a junction number, because it is equal to n+sod(n) for n = 242420333982 and 242420334000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435754 + ... + 821414.

It is an arithmetic number, because the mean of its divisors is an integer number (10334777445).

Almost surely, 2242420334024 is an apocalyptic number.

242420334024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242420334024 is an abundant number, since it is smaller than the sum of its proper divisors (419005422456).

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

242420334024 is a wasteful number, since it uses less digits than its factorization.

242420334024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388062 (or 388058 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242420334024 its reverse (420433024242), we get a palindrome (662853358266).

The spelling of 242420334024 in words is "two hundred forty-two billion, four hundred twenty million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2381 4762 7143 9524 14286 19048 26191 28572 52382 57144 78573 104764 157146 209528 314292 385661 628584 771322 1156983 1542644 2313966 3085288 4242271 4627932 8484542 9255864 12726813 16969084 25453626 33938168 50907252 101814504 918258841 1836517682 2754776523 3673035364 5509553046 7346070728 10100847251 11019106092 20201694502 22038212184 30302541753 40403389004 60605083506 80806778008 121210167012 242420334024