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242023140024 = 233671491735839
BaseRepresentation
bin1110000101100110110…
…1000000101010111000
3212010201000020101100220
43201121231000222320
512431130410440044
6303103415500040
723325362514141
oct3413155005270
9763630211326
10242023140024
1193706831296
123aaa5087620
1319a9058b4c3
14b9dd24cac8
156467890019
hex3859b40ab8

242023140024 has 128 divisors (see below), whose sum is σ = 621889920000. Its totient is φ = 78467203584.

The previous prime is 242023139983. The next prime is 242023140041. The reversal of 242023140024 is 420041320242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242023139976 and 242023140003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41446497 + ... + 41452335.

It is an arithmetic number, because the mean of its divisors is an integer number (4858515000).

Almost surely, 2242023140024 is an apocalyptic number.

242023140024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242023140024 is an abundant number, since it is smaller than the sum of its proper divisors (379866779976).

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

242023140024 is a wasteful number, since it uses less digits than its factorization.

242023140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242023140024 its reverse (420041320242), we get a palindrome (662064460266).

The spelling of 242023140024 in words is "two hundred forty-two billion, twenty-three million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 149 173 201 268 298 346 402 447 519 536 596 692 804 894 1038 1192 1384 1608 1788 2076 3576 4152 5839 9983 11591 11678 17517 19966 23182 23356 25777 29949 34773 35034 39932 46364 46712 51554 59898 69546 70068 77331 79864 92728 103108 119796 139092 140136 154662 206216 239592 278184 309324 391213 618648 782426 870011 1010147 1173639 1564852 1727059 1740022 2020294 2347278 2610033 3030441 3129704 3454118 3480044 4040588 4694556 5181177 5220066 6060882 6908236 6960088 8081176 9389112 10362354 10440132 12121764 13816472 20724708 20880264 24243528 41449416 58290737 67679849 116581474 135359698 150511903 174872211 203039547 233162948 270719396 301023806 349744422 406079094 451535709 466325896 541438792 602047612 699488844 812158188 903071418 1204095224 1398977688 1624316376 1806142836 3612285672 10084297501 20168595002 30252892503 40337190004 60505785006 80674380008 121011570012 242023140024