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211444234404 = 223132195487497
BaseRepresentation
bin1100010011101100001…
…1101111100010100100
3202012202220122000202220
43010323003233202210
511431014211000104
6241045223432340
721163533223614
oct3047303574244
9665686560686
10211444234404
1181744837967
1234b902b56b0
1316c292a5100
14a33bd8ca44
1557780137d9
hex313b0ef8a4

211444234404 has 72 divisors (see below), whose sum is σ = 562358795040. Its totient is φ = 61635555072.

The previous prime is 211444234373. The next prime is 211444234489. The reversal of 211444234404 is 404432444112.

211444234404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705217 + ... + 2782280.

It is an arithmetic number, because the mean of its divisors is an integer number (7810538820).

Almost surely, 2211444234404 is an apocalyptic number.

It is an amenable number.

211444234404 is an abundant number, since it is smaller than the sum of its proper divisors (350914560636).

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

211444234404 is a wasteful number, since it uses less digits than its factorization.

211444234404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487549 (or 5487534 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 211444234404 its reverse (404432444112), we get a palindrome (615876678516).

The spelling of 211444234404 in words is "two hundred eleven billion, four hundred forty-four million, two hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2964 3211 6422 9633 12844 19266 38532 5487497 10974994 16462491 21949988 32924982 65849964 71337461 104262443 142674922 208524886 214012383 285349844 312787329 417049772 428024766 625574658 856049532 927386993 1251149316 1355411759 1854773986 2710823518 2782160979 3709547972 4066235277 5421647036 5564321958 8132470554 11128643916 16264941108 17620352867 35240705734 52861058601 70481411468 105722117202 211444234404