Search a number
-
+
31214230124032 = 29412630956519
BaseRepresentation
bin1110001100011101000010…
…00110010011011000000000
311002112001101100220001212101
413012032201012103120000
513042403220402432112
6150215341440440144
76401103502221304
oct706164106233000
9132461340801771
1031214230124032
119a44976173a2a
12360163a619054
131455648c09697
1479cac3771d04
15391e48e02757
hex1c63a1193600

31214230124032 has 80 divisors (see below), whose sum is σ = 63892212199200. Its totient is φ = 15225605570560.

The previous prime is 31214230124023. The next prime is 31214230124149. The reversal of 31214230124032 is 23042103241213.

It is a super-2 number, since 2×312142301240322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 552250269 + ... + 552306787.

It is an arithmetic number, because the mean of its divisors is an integer number (798652652490).

Almost surely, 231214230124032 is an apocalyptic number.

31214230124032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31214230124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946106099600).

31214230124032 is an abundant number, since it is smaller than the sum of its proper divisors (32677982075168).

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

31214230124032 is an equidigital number, since it uses as much as digits as its factorization.

31214230124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82887 (or 82871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31214230124032 its reverse (23042103241213), we get a palindrome (54256333365245).

The spelling of 31214230124032 in words is "thirty-one trillion, two hundred fourteen billion, two hundred thirty million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 10496 20992 26309 52618 56519 105236 113038 210472 226076 420944 452152 841888 904304 1078669 1683776 1808608 2157338 2317279 3367552 3617216 4314676 4634558 6735104 7234432 8629352 9269116 13470208 14468864 17258704 18538232 28937728 34517408 37076464 69034816 74152928 138069632 148305856 276139264 296611712 552278528 593223424 1186446848 1486958371 2973916742 5947833484 11895666968 23791333936 47582667872 60965293211 95165335744 121930586422 190330671488 243861172844 380661342976 487722345688 761322685952 975444691376 1950889382752 3901778765504 7803557531008 15607115062016 31214230124032