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323338939641 = 34232412672
BaseRepresentation
bin1001011010010001000…
…00001010110011111001
31010220121001021000010000
410231020200022303321
520244144232032031
6404312335343213
732234432432214
oct4551040126371
91126531230100
10323338939641
11115144447073
12527b9681b09
132464c1a0873
1411914a5c77b
1586266203e6
hex4b4880acf9

323338939641 has 135 divisors (see below), whose sum is σ = 525381538143. Its totient is φ = 198155833920.

The previous prime is 323338939633. The next prime is 323338939667. The reversal of 323338939641 is 146939833323.

The square root of 323338939641 is 568629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15580282041 + 307758657600 = 124821^2 + 554760^2 .

It is not a de Polignac number, because 323338939641 - 23 = 323338939633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323338979641) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 4825954290 + ... + 4825954356.

Almost surely, 2323338939641 is an apocalyptic number.

323338939641 is the 568629-th square number.

323338939641 is the 284315-th centered octagonal number.

It is an amenable number.

323338939641 is a deficient number, since it is larger than the sum of its proper divisors (202042598502).

323338939641 is an frugal number, since it uses more digits than its factorization.

323338939641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 323338939641 in words is "three hundred twenty-three billion, three hundred thirty-eight million, nine hundred thirty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 23 27 41 67 69 81 123 201 207 369 529 603 621 943 1107 1541 1587 1681 1809 1863 2747 2829 3321 4489 4623 4761 5043 5427 8241 8487 13467 13869 14283 15129 21689 24723 25461 35443 38663 40401 41607 42849 45387 63181 65067 74169 76383 103247 106329 112627 115989 121203 124821 136161 184049 189543 195201 222507 309741 318987 337881 347967 363609 552147 568629 585603 889249 929223 956961 1013643 1043901 1453163 1656441 1705887 1756809 2374681 2590421 2667747 2787669 2870883 3040929 3131703 4233127 4359489 4969323 5117661 7124043 7546009 7771263 8003241 8363007 9122787 12699381 13078467 14907969 21372129 22638027 23313789 24009723 38098143 39235401 59579683 64116387 67914081 69941367 72029169 97361921 114294429 117706203 173558207 178739049 192349161 203742243 209824101 292085763 342883287 520674621 536217147 611226729 876257289 1562023863 1608651441 2628771867 3991838761 4686071589 4825954323 7886315601 11975516283 14058214767 35926548849 107779646547 323338939641