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211412334140 = 22571510088101
BaseRepresentation
bin1100010011100100101…
…0000011011000111100
3202012200200121022211122
43010321022003120330
511430433024143030
6241042124010112
721162665122130
oct3047112033074
9665620538748
10211412334140
1181728829807
1234b81690938
1316c227b6207
14a337a473c0
1557753118e5
hex313928363c

211412334140 has 24 divisors (see below), whose sum is σ = 507389602272. Its totient is φ = 72484228800.

The previous prime is 211412334121. The next prime is 211412334151. The reversal of 211412334140 is 41433214112.

It is a super-3 number, since 3×2114123341403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 755043911 + ... + 755044190.

It is an arithmetic number, because the mean of its divisors is an integer number (21141233428).

Almost surely, 2211412334140 is an apocalyptic number.

211412334140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211412334140 is an abundant number, since it is smaller than the sum of its proper divisors (295977268132).

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

211412334140 is a wasteful number, since it uses less digits than its factorization.

211412334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510088117 (or 1510088115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 211412334140 its reverse (41433214112), we get a palindrome (252845548252).

The spelling of 211412334140 in words is "two hundred eleven billion, four hundred twelve million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1510088101 3020176202 6040352404 7550440505 10570616707 15100881010 21141233414 30201762020 42282466828 52853083535 105706167070 211412334140