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2431314240124 = 22711232791122971
BaseRepresentation
bin100011011000010101100…
…111110010001001111100
322121102122110200102212011
4203120111213302021330
5304313312421140444
65100532542021004
7340441143024550
oct43302547621174
98542573612764
102431314240124
11858129560280
12333256277764
1314836c61a283
1485967847860
154339daa4734
hex236159f227c

2431314240124 has 96 divisors (see below), whose sum is σ = 5537352425472. Its totient is φ = 905747832000.

The previous prime is 2431314240109. The next prime is 2431314240137. The reversal of 2431314240124 is 4210424131342.

It is a happy number.

2431314240124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24313142401242 (a number of 26 digits) contains 22 as substring.

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, 19709959 + ... + 19832929.

It is an arithmetic number, because the mean of its divisors is an integer number (57680754432).

Almost surely, 22431314240124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431314240124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768676212736).

2431314240124 is an abundant number, since it is smaller than the sum of its proper divisors (3106038185348).

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

2431314240124 is a wasteful number, since it uses less digits than its factorization.

2431314240124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125807 (or 125805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 2431314240124 its reverse (4210424131342), we get a palindrome (6641738371466).

The spelling of 2431314240124 in words is "two trillion, four hundred thirty-one billion, three hundred fourteen million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 2791 3542 5582 7084 11164 19537 30701 39074 61402 64193 78148 122804 122971 128386 214907 245942 256772 429814 449351 491884 706123 859628 860797 898702 1352681 1412246 1721594 1797404 2705362 2824492 2828333 3443188 4942861 5410724 5656666 9468767 9885722 11313332 18937534 19771444 19798331 31111663 37875068 39596662 62223326 79193324 124446652 217781641 343212061 435563282 686424122 871126564 1372848244 2402484427 3775332671 4804968854 7550665342 7893877403 9609937708 15101330684 15787754806 26427328697 31575509612 52854657394 55257141821 86832651433 105709314788 110514283642 173665302866 221028567284 347330605732 607828560031 1215657120062 2431314240124