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24142000314 = 2359263349743
BaseRepresentation
bin10110011110111110…
…011011000010111010
32022022111102200111210
4112132332123002322
5343420323002224
615031330503550
71513155421365
oct263676330272
968274380453
1024142000314
11a269591183
124819134bb6
132379856cb3
1412504410dc
159646e0429
hex59ef9b0ba

24142000314 has 64 divisors (see below), whose sum is σ = 49496832000. Its totient is φ = 7847700672.

The previous prime is 24142000279. The next prime is 24142000319. The reversal of 24142000314 is 41300024142.

It is a super-2 number, since 2×241420003142 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24142000319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32492227 + ... + 32492969.

It is an arithmetic number, because the mean of its divisors is an integer number (773388000).

Almost surely, 224142000314 is an apocalyptic number.

24142000314 is an abundant number, since it is smaller than the sum of its proper divisors (25354831686).

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

24142000314 is a wasteful number, since it uses less digits than its factorization.

24142000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 24142000314 its reverse (41300024142), we get a palindrome (65442024456).

The spelling of 24142000314 in words is "twenty-four billion, one hundred forty-two million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 59 118 177 263 349 354 526 698 743 789 1047 1486 1578 2094 2229 4458 15517 20591 31034 41182 43837 46551 61773 87674 91787 93102 123546 131511 183574 195409 259307 263022 275361 390818 518614 550722 586227 777921 1172454 1555842 5415433 10830866 11529131 15299113 16246299 23058262 30598226 32492598 34587393 45897339 68197741 69174786 91794678 136395482 204593223 409186446 4023666719 8047333438 12071000157 24142000314