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331144427136 = 2737112145849
BaseRepresentation
bin1001101000110011011…
…11101111011010000000
31011122202000122212000110
410310121233233122000
520411140433132021
6412043050151320
732632032121425
oct4643157573200
91148660585013
10331144427136
1111848a43a386
1254217722540
13252c432b313
1412055571d4c
1589319e7476
hex4d19bef680

331144427136 has 64 divisors (see below), whose sum is σ = 891991224000. Its totient is φ = 108826798080.

The previous prime is 331144427129. The next prime is 331144427143. The reversal of 331144427136 is 631724441133.

It is a happy number.

331144427136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331144427129) and next prime (331144427143).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3311444271362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331144427094 and 331144427103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6045661 + ... + 6100188.

It is an arithmetic number, because the mean of its divisors is an integer number (13937362875).

Almost surely, 2331144427136 is an apocalyptic number.

It is an amenable number.

331144427136 is an abundant number, since it is smaller than the sum of its proper divisors (560846796864).

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

331144427136 is a wasteful number, since it uses less digits than its factorization.

331144427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12145937 (or 12145925 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

Adding to 331144427136 its reverse (631724441133), we get a palindrome (962868868269).

The spelling of 331144427136 in words is "three hundred thirty-one billion, one hundred forty-four million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 12145849 24291698 36437547 48583396 72875094 97166792 145750188 194333584 291500376 388667168 583000752 777334336 862355279 1166001504 1554668672 1724710558 2332003008 2587065837 3449421116 4664006016 5174131674 6898842232 10348263348 13797684464 20696526696 27595368928 41393053392 55190737856 82786106784 110381475712 165572213568 331144427136