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24241402134 = 23231437731307
BaseRepresentation
bin10110100100111001…
…100111000100010110
32022120102110211011200
4112210321213010112
5344121244332014
615045241213330
71515503342535
oct264471470426
968512424150
1024241402134
11a30a704244
124846491246
13239431b441
14125d71831c
1596d2c7a09
hex5a4e67116

24241402134 has 96 divisors (see below), whose sum is σ = 55592469504. Its totient is φ = 7622233920.

The previous prime is 24241402121. The next prime is 24241402139. The reversal of 24241402134 is 43120414242.

24241402134 is a `hidden beast` number, since 2 + 4 + 241 + 402 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 24241402098 and 24241402107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24241402139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18546709 + ... + 18548015.

It is an arithmetic number, because the mean of its divisors is an integer number (579088224).

Almost surely, 224241402134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24241402134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27796234752).

24241402134 is an abundant number, since it is smaller than the sum of its proper divisors (31351067370).

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

24241402134 is a wasteful number, since it uses less digits than its factorization.

24241402134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24241402134 its reverse (43120414242), we get a palindrome (67361816376).

The spelling of 24241402134 in words is "twenty-four billion, two hundred forty-one million, four hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 773 774 1307 1333 1546 2319 2614 2666 3921 3999 4638 6957 7842 7998 11763 11997 13914 23526 23963 23994 33239 40517 47926 56201 66478 71889 81034 99717 112402 121551 143778 168603 199434 215667 243102 299151 337206 364653 431334 505809 598302 729306 1010311 1011618 1030409 1742231 2020622 2060818 3030933 3091227 3484462 5226693 6061866 6182454 9092799 9273681 10453386 15680079 18185598 18547362 31319641 31360158 43443373 62639282 86886746 93958923 130330119 187917846 260660238 281876769 390990357 563753538 781980714 1346744563 2693489126 4040233689 8080467378 12120701067 24241402134