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312214142324 = 227476713732579
BaseRepresentation
bin1001000101100010110…
…10011011110101110100
31002211212201222202010202
410202301122123311310
520103403310023244
6355232412340032
731361646264620
oct4426132336564
91084781882122
10312214142324
111104558201a7
1250613a74618
132359845c866
141117b384180
1581c4b2e04e
hex48b169bd74

312214142324 has 96 divisors (see below), whose sum is σ = 647954657280. Its totient is φ = 128860566912.

The previous prime is 312214142291. The next prime is 312214142363. The reversal of 312214142324 is 423241412213.

It is a super-2 number, since 2×3122141423242 (a number of 24 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, 121058867 + ... + 121061445.

It is an arithmetic number, because the mean of its divisors is an integer number (6749527680).

Almost surely, 2312214142324 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 312214142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323977328640).

312214142324 is an abundant number, since it is smaller than the sum of its proper divisors (335740514956).

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

312214142324 is a wasteful number, since it uses less digits than its factorization.

312214142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 312214142324 its reverse (423241412213), we get a palindrome (735455554537).

The spelling of 312214142324 in words is "three hundred twelve billion, two hundred fourteen million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 47 67 94 134 188 268 329 469 658 938 1316 1373 1876 2579 2746 3149 5158 5492 6298 9611 10316 12596 18053 19222 22043 36106 38444 44086 64531 72212 88172 91991 121213 129062 172793 183982 242426 258124 345586 367964 451717 484852 643937 691172 848491 903434 1209551 1287874 1696982 1806868 2419102 2575748 3393964 3540967 4323577 4838204 7081934 8121271 8647154 14163868 16242542 17294308 24786769 30265039 32485084 49573538 56848897 60530078 99147076 113697794 121060156 166425449 227395588 237244789 332850898 474489578 665701796 948979156 1164978143 1660713523 2329956286 3321427046 4659912572 6642854092 11150505083 22301010166 44602020332 78053535581 156107071162 312214142324