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242421234124440 = 23357937730777083
BaseRepresentation
bin110111000111101100010111…
…100010111100011010011000
31011210100020120121201120120010
4313013230113202330122120
5223233312141413440230
62215330435540001520
7102030233113016640
oct6707542742743230
91153306517646503
10242421234124440
11702742a4833578
1223232a389902a0
13a5362bb9b54c7
1443c1370ccb520
151d05dec9299b0
hexdc7b178bc698

242421234124440 has 128 divisors (see below), whose sum is σ = 831247182005760. Its totient is φ = 55404656799744.

The previous prime is 242421234124417. The next prime is 242421234124457. The reversal of 242421234124440 is 44421432124242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7511862 + ... + 23265221.

It is an arithmetic number, because the mean of its divisors is an integer number (6494118609420).

Almost surely, 2242421234124440 is an apocalyptic number.

242421234124440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242421234124440 is an abundant number, since it is smaller than the sum of its proper divisors (588825947881320).

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

242421234124440 is a wasteful number, since it uses less digits than its factorization.

242421234124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30786481 (or 30786477 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 242421234124440 its reverse (44421432124242), we get a palindrome (286842666248682).

The spelling of 242421234124440 in words is "two hundred forty-two trillion, four hundred twenty-one billion, two hundred thirty-four million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 9377 18754 28131 37508 46885 56262 65639 75016 93770 112524 131278 140655 187540 196917 225048 262556 281310 328195 375080 393834 525112 562620 656390 787668 984585 1125240 1312780 1575336 1969170 2625560 3938340 7876680 30777083 61554166 92331249 123108332 153885415 184662498 215439581 246216664 307770830 369324996 430879162 461656245 615541660 646318743 738649992 861758324 923312490 1077197905 1231083320 1292637486 1723516648 1846624980 2154395810 2585274972 3231593715 3693249960 4308791620 5170549944 6463187430 8617583240 12926374860 25852749720 288596707291 577193414582 865790121873 1154386829164 1442983536455 1731580243746 2020176951037 2308773658328 2885967072910 3463160487492 4040353902074 4328950609365 5771934145820 6060530853111 6926320974984 8080707804148 8657901218730 10100884755185 11543868291640 12121061706222 16161415608296 17315802437460 20201769510370 24242123412444 30302654265555 34631604874920 40403539020740 48484246824888 60605308531110 80807078041480 121210617062220 242421234124440