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214044242444331 = 31317718117560191
BaseRepresentation
bin110000101010110000001111…
…000010011000000000101011
31001001212102121021112001101020
4300222300033002120000223
5211023400102031204311
62035122322325423523
763041120602365345
oct6052601702300053
91031772537461336
10214044242444331
1162223720813212
122000b25b86aba3
1392583931b2370
143abdb21c84295
1519b2bae139c06
hexc2ac0f09802b

214044242444331 has 64 divisors (see below), whose sum is σ = 330049423097856. Its totient is φ = 122209974835200.

The previous prime is 214044242444243. The next prime is 214044242444359. The reversal of 214044242444331 is 133444242440412.

It is not a de Polignac number, because 214044242444331 - 217 = 214044242313259 is a prime.

It is a super-2 number, since 2×2140442424443312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214044242444831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381811446 + ... + 382371636.

It is an arithmetic number, because the mean of its divisors is an integer number (5157022235904).

Almost surely, 2214044242444331 is an apocalyptic number.

214044242444331 is a deficient number, since it is larger than the sum of its proper divisors (116005180653525).

214044242444331 is a wasteful number, since it uses less digits than its factorization.

214044242444331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568412.

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 214044242444331 its reverse (133444242440412), we get a palindrome (347488484884743).

The spelling of 214044242444331 in words is "two hundred fourteen trillion, forty-four billion, two hundred forty-two million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 13 17 39 51 71 213 221 663 923 1207 2769 3621 8117 15691 24351 47073 105521 137989 316563 413967 560191 576307 1680573 1728921 1793857 5381571 7282483 7491991 9523247 9797219 21847449 22475973 28569741 29391657 39773561 119320683 123802211 127363847 371406633 382091541 517056293 676150537 1551168879 2028451611 4547070347 8789956981 13641211041 26369870943 59111914511 77300195899 177335743533 231900587697 322841994637 968525983911 1004902546687 3014707640061 4196945930281 5488313908829 12590837790843 16464941726487 71348080814777 214044242444331