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212144214340 = 225431213203363
BaseRepresentation
bin1100010110010011000…
…1111101000101000100
3202021120200202200201201
43011210301331011010
511433432404324330
6241242510432244
721220063032502
oct3054461750504
9667520680651
10212144214340
1181a73973183
1235146802684
131700b308316
14a3a6d1d672
1557b96ceeca
hex3164c7d144

212144214340 has 48 divisors (see below), whose sum is σ = 456241439808. Its totient is φ = 82815513984.

The previous prime is 212144214329. The next prime is 212144214353. The reversal of 212144214340 is 43412441212.

It is a junction number, because it is equal to n+sod(n) for n = 212144214299 and 212144214308.

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 15 ways as a sum of consecutive naturals, for example, 941499 + ... + 1144861.

It is an arithmetic number, because the mean of its divisors is an integer number (9505029996).

Almost surely, 2212144214340 is an apocalyptic number.

212144214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228120719904).

212144214340 is an abundant number, since it is smaller than the sum of its proper divisors (244097225468).

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

212144214340 is a wasteful number, since it uses less digits than its factorization.

212144214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204628 (or 204626 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212144214340 its reverse (43412441212), we get a palindrome (255556655552).

The spelling of 212144214340 in words is "two hundred twelve billion, one hundred forty-four million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1213 2426 4852 6065 12130 24260 52159 104318 203363 208636 260795 406726 521590 813452 1016815 1043180 2033630 4067260 8744609 17489218 34978436 43723045 87446090 174892180 246679319 493358638 986717276 1233396595 2466793190 4933586380 10607210717 21214421434 42428842868 53036053585 106072107170 212144214340