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4312232146004 = 2224131354126417
BaseRepresentation
bin111110110000000101000…
…100001011010001010100
3120021020121212120010110212
4332300011010023101110
51031122422412133004
613101002340304552
7623356063313636
oct76600504132124
916236555503425
104312232146004
111412897699242
125978a59a2158
13253845bbcb53
1410c9dac4ca56
157728749396e
hex3ec0510b454

4312232146004 has 48 divisors (see below), whose sum is σ = 7616269033296. Its totient is φ = 2136272486400.

The previous prime is 4312232145889. The next prime is 4312232146133. The reversal of 4312232146004 is 4006412322134.

It can be written as a sum of positive squares in 8 ways, for example, as 846863743504 + 3465368402500 = 920252^2 + 1861550^2 .

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 15 ways as a sum of consecutive naturals, for example, 163223804 + ... + 163250220.

It is an arithmetic number, because the mean of its divisors is an integer number (158672271527).

Almost surely, 24312232146004 is an apocalyptic number.

It is an amenable number.

4312232146004 is a deficient number, since it is larger than the sum of its proper divisors (3304036887292).

4312232146004 is a wasteful number, since it uses less digits than its factorization.

4312232146004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27516 (or 27514 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4312232146004 its reverse (4006412322134), we get a palindrome (8318644468138).

The spelling of 4312232146004 in words is "four trillion, three hundred twelve billion, two hundred thirty-two million, one hundred forty-six thousand, four".

Divisors: 1 2 4 241 313 482 541 626 964 1082 1252 2164 26417 52834 75433 105668 130381 150866 169333 260762 301732 338666 521524 677332 6366497 8268521 12732994 14291597 16537042 25465988 28583194 33074084 40809253 57166388 81618506 163237012 1992713561 3444274877 3985427122 4473269861 6888549754 7970854244 8946539722 13777099508 17893079444 1078058036501 2156116073002 4312232146004