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211431440412 = 2232191889163637
BaseRepresentation
bin1100010011101001001…
…0111100000000011100
3202012202000120000201100
43010322102330000130
511431002422043122
6241044045313100
721163316406423
oct3047222740034
9665660500640
10211431440412
1181738599615
1234b87b65790
1316c267458ba
14a33a3bc2ba
155776d37aac
hex313a4bc01c

211431440412 has 72 divisors (see below), whose sum is σ = 562881992400. Its totient is φ = 66732069888.

The previous prime is 211431440377. The next prime is 211431440419. The reversal of 211431440412 is 214044134112.

211431440412 is a `hidden beast` number, since 211 + 4 + 3 + 1 + 440 + 4 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431440419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210258 + ... + 1373894.

It is an arithmetic number, because the mean of its divisors is an integer number (7817805450).

Almost surely, 2211431440412 is an apocalyptic number.

It is an amenable number.

211431440412 is an abundant number, since it is smaller than the sum of its proper divisors (351450551988).

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

211431440412 is a wasteful number, since it uses less digits than its factorization.

211431440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165555 (or 165550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211431440412 its reverse (214044134112), we get a palindrome (425475574524).

The spelling of 211431440412 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1889 3778 5667 7556 11334 17001 22668 34002 35891 68004 71782 107673 143564 163637 215346 323019 327274 430692 490911 646038 654548 981822 1292076 1472733 1963644 2945466 3109103 5890932 6218206 9327309 12436412 18654618 27981927 37309236 55963854 111927708 309110293 618220586 927330879 1236441172 1854661758 2781992637 3709323516 5563985274 5873095567 11127970548 11746191134 17619286701 23492382268 35238573402 52857860103 70477146804 105715720206 211431440412