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24312044021342 = 27119710116114159
BaseRepresentation
bin1011000011100100101101…
…01111110110011001011110
310012002012122011000220121112
411201302112233312121132
511141312031232140332
6123412444314302022
75056326054321260
oct541622657663136
9105065564026545
1024312044021342
117823753044450
122887a06427912
1310748012168cc
146009d00d9b30
152c262aa68db2
hex161c96bf665e

24312044021342 has 64 divisors (see below), whose sum is σ = 46390217287680. Its totient is φ = 9281755008000.

The previous prime is 24312044021323. The next prime is 24312044021347.

It is a happy number.

24312044021342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×243120440213423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24312044021299 and 24312044021308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24312044021347) 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, 6548342 + ... + 9565817.

It is an arithmetic number, because the mean of its divisors is an integer number (724847145120).

Almost surely, 224312044021342 is an apocalyptic number.

24312044021342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24312044021342 is a deficient number, since it is larger than the sum of its proper divisors (22078173266338).

24312044021342 is a wasteful number, since it uses less digits than its factorization.

24312044021342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114377.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2431204 and 4021342, that added together give a palindrome (6452546).

The spelling of 24312044021342 in words is "twenty-four trillion, three hundred twelve billion, forty-four million, twenty-one thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 22 77 97 101 154 194 202 679 707 1067 1111 1358 1414 2134 2222 7469 7777 9797 14938 15554 19594 68579 107767 137158 215534 754369 1508738 16114159 32228318 112799113 177255749 225598226 354511498 1240790243 1563073423 1627530059 2481580486 3126146846 3255060118 10941513961 11392710413 17193807653 17902830649 21883027922 22785420826 34387615306 35805661298 120356653571 125319814543 157870415723 240713307142 250639629086 315740831446 1105092910061 1736574572953 2210185820122 3473149145906 12156022010671 24312044021342