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242435331520 = 26513717333191
BaseRepresentation
bin1110000111001001000…
…1011001010111000000
3212011202201211212210121
43201302101121113000
512433001421102040
6303212342310024
723341526213464
oct3416221312700
9764681755717
10242435331520
11938a8473918
123ab9b128314
1319b27aaacb5
14ba3bca84a4
15648db60c4a
hex38724595c0

242435331520 has 112 divisors (see below), whose sum is σ = 582030888768. Its totient is φ = 96180592640.

The previous prime is 242435331503. The next prime is 242435331557. The reversal of 242435331520 is 25133534242.

It is a congruent number.

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, 75973125 + ... + 75976315.

It is an arithmetic number, because the mean of its divisors is an integer number (5196704364).

Almost surely, 2242435331520 is an apocalyptic number.

242435331520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242435331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291015444384).

242435331520 is an abundant number, since it is smaller than the sum of its proper divisors (339595557248).

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

242435331520 is a wasteful number, since it uses less digits than its factorization.

242435331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 242435331520 its reverse (25133534242), we get a palindrome (267568865762).

The spelling of 242435331520 in words is "two hundred forty-two billion, four hundred thirty-five million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 1733 2192 2740 3191 3466 4384 5480 6382 6932 8665 8768 10960 12764 13864 15955 17330 21920 25528 27728 31910 34660 43840 51056 55456 63820 69320 102112 110912 127640 138640 204224 237421 255280 277280 437167 474842 510560 554560 874334 949684 1021120 1187105 1748668 1899368 2185835 2374210 3497336 3798736 4371670 4748420 5530003 6994672 7597472 8743340 9496840 11060006 13989344 15194944 17486680 18993680 22120012 27650015 27978688 34973360 37987360 44240024 55300030 69946720 75974720 88480048 110600060 139893440 176960096 221200120 353920192 442400240 757610411 884800480 1515220822 1769600960 3030441644 3788052055 6060883288 7576104110 12121766576 15152208220 24243533152 30304416440 48487066304 60608832880 121217665760 242435331520