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211210323414040 = 23519359727274483
BaseRepresentation
bin110000000001100000111100…
…010011001100110000011000
31000200211111202120220012011101
4300001200330103030300120
5210140432220243222130
62025112403313441144
762326304465155156
oct6001407423146030
91020744676805141
10211210323414040
11613308823641a5
121b831b85b701b4
1390b10816c7702
143a228c434a3d6
1519640ea1621ca
hexc0183c4ccc18

211210323414040 has 32 divisors (see below), whose sum is σ = 475225699808880. Its totient is φ = 84483689876352.

The previous prime is 211210323414029. The next prime is 211210323414049. The reversal of 211210323414040 is 40414323012112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210323414049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5893362 + ... + 21381121.

Almost surely, 2211210323414040 is an apocalyptic number.

211210323414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210323414040 is an abundant number, since it is smaller than the sum of its proper divisors (264015376394840).

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

211210323414040 is a wasteful number, since it uses less digits than its factorization.

211210323414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27468091 (or 27468087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 211210323414040 its reverse (40414323012112), we get a palindrome (251624646426152).

The spelling of 211210323414040 in words is "two hundred eleven trillion, two hundred ten billion, three hundred twenty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 193597 387194 774388 967985 1548776 1935970 3871940 7743880 27274483 54548966 109097932 136372415 218195864 272744830 545489660 1090979320 5280258085351 10560516170702 21121032341404 26401290426755 42242064682808 52802580853510 105605161707020 211210323414040