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211142401444 = 221313729638181
BaseRepresentation
bin1100010010100100010…
…0010101110110100100
3202011222212200022210101
43010221010111312210
511424404423321234
6240555242233444
721153206541262
oct3045104256644
9664885608711
10211142401444
11815aa421337
1234b071b5884
1316bab8b4c20
14a30dc5d432
15575b791814
hex3129115da4

211142401444 has 24 divisors (see below), whose sum is σ = 400826773368. Its totient is φ = 96739019520.

The previous prime is 211142401441. The next prime is 211142401469. The reversal of 211142401444 is 444104241112.

It can be written as a sum of positive squares in 4 ways, for example, as 38784575844 + 172357825600 = 196938^2 + 415160^2 .

It is a super-3 number, since 3×2111424014443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211142401441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14811967 + ... + 14826214.

It is an arithmetic number, because the mean of its divisors is an integer number (16701115557).

Almost surely, 2211142401444 is an apocalyptic number.

It is an amenable number.

211142401444 is a deficient number, since it is larger than the sum of its proper divisors (189684371924).

211142401444 is a wasteful number, since it uses less digits than its factorization.

211142401444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29638335 (or 29638333 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 211142401444 its reverse (444104241112), we get a palindrome (655246642556).

The spelling of 211142401444 in words is "two hundred eleven billion, one hundred forty-two million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 137 274 548 1781 3562 7124 29638181 59276362 118552724 385296353 770592706 1541185412 4060430797 8120861594 16241723188 52785600361 105571200722 211142401444