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211144113444 = 223111991192413
BaseRepresentation
bin1100010010100100101…
…0110111110100100100
3202011222222220022012210
43010221022313310210
511424410343112234
6240555343043420
721153230231445
oct3045112676444
9664888808183
10211144113444
1181600390610
1234b078a0570
1316bac064244
14a3101872cc
15575b9cdbe9
hex31292b7d24

211144113444 has 96 divisors (see below), whose sum is σ = 566372136960. Its totient is φ = 60548342400.

The previous prime is 211144113421. The next prime is 211144113491. The reversal of 211144113444 is 444311441112.

It is a super-2 number, since 2×2111441134442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238582 + ... + 2330994.

It is an arithmetic number, because the mean of its divisors is an integer number (5899709760).

Almost surely, 2211144113444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211144113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283186068480).

211144113444 is an abundant number, since it is smaller than the sum of its proper divisors (355228023516).

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

211144113444 is a wasteful number, since it uses less digits than its factorization.

211144113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93361 (or 93359 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 211144113444 its reverse (444311441112), we get a palindrome (655455554556).

The spelling of 211144113444 in words is "two hundred eleven billion, one hundred forty-four million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 911 1254 1822 2508 2733 3644 5466 10021 10932 17309 20042 30063 34618 40084 51927 60126 69236 92413 103854 120252 184826 190399 207708 277239 369652 380798 554478 571197 761596 1016543 1108956 1142394 1755847 2033086 2284788 3049629 3511694 4066172 5267541 6099258 7023388 10535082 12198516 19314317 21070164 38628634 57942951 77257268 84188243 115885902 168376486 231771804 252564729 336752972 505129458 926070673 1010258916 1599576617 1852141346 2778212019 3199153234 3704282692 4798729851 5556424038 6398306468 9597459702 11112848076 17595342787 19194919404 35190685574 52786028361 70381371148 105572056722 211144113444