Search a number
-
+
31424300342412 = 223172271693400823
BaseRepresentation
bin1110010010100100010100…
…10000100101110010001100
311010021010121112001211222220
413021102022100211302030
513104323431341424122
6150500042502335340
76422221312503465
oct711221220456214
9133233545054886
1031424300342412
11a015a7534a25a
1236362a672a550
13146c3b6630053
147a8d31053d6c
153976414a525c
hex1c948a425c8c

31424300342412 has 96 divisors (see below), whose sum is σ = 78024771804672. Its totient is φ = 9809352078336.

The previous prime is 31424300342411. The next prime is 31424300342563. The reversal of 31424300342412 is 21424300342413.

It is a super-2 number, since 2×314243003424122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31424300342411) 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, 78199033 + ... + 78599855.

It is an arithmetic number, because the mean of its divisors is an integer number (812758039632).

Almost surely, 231424300342412 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 31424300342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012385902336).

31424300342412 is an abundant number, since it is smaller than the sum of its proper divisors (46600471462260).

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

31424300342412 is a wasteful number, since it uses less digits than its factorization.

31424300342412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402767 (or 402765 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 31424300342412 its reverse (21424300342413), we get a palindrome (52848600684825).

Subtracting from 31424300342412 its reverse (21424300342413), we obtain a palindrome (9999999999999).

The spelling of 31424300342412 in words is "thirty-one trillion, four hundred twenty-four billion, three hundred million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 1693 2724 3386 3859 5079 6772 7718 10158 11577 15436 20316 23154 28781 46308 57562 86343 115124 172686 345372 384311 400823 768622 801646 1152933 1202469 1537244 1603292 2305866 2404938 4611732 4809876 6533287 6813991 13066574 13627982 19599861 20441973 26133148 27255964 39199722 40883946 78399444 81767892 90986821 181973642 272960463 363947284 545920926 678593339 1091841852 1357186678 1546775957 2035780017 2714373356 3093551914 4071560034 4640327871 6187103828 8143120068 9280655742 11536086763 18561311484 23072173526 34608260289 46144347052 69216520578 138433041156 154040687953 308081375906 462122063859 616162751812 924244127718 1848488255436 2618691695201 5237383390402 7856075085603 10474766780804 15712150171206 31424300342412