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212141144144 = 24171968360101
BaseRepresentation
bin1100010110010010011…
…0001111100001010000
3202021120110222201012202
43011210212033201100
511433431113103034
6241242320542332
721220024654466
oct3054446174120
9667513881182
10212141144144
1181a72166526
12351457819a8
131700a7a1a37
14a3a6760836
1557b92c547e
hex316498f850

212141144144 has 80 divisors (see below), whose sum is σ = 458785010880. Its totient is φ = 94436812800.

The previous prime is 212141144107. The next prime is 212141144147. The reversal of 212141144144 is 441441141212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212141144147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3499694 + ... + 3559794.

It is an arithmetic number, because the mean of its divisors is an integer number (5734812636).

Almost surely, 2212141144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212141144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229392505440).

212141144144 is an abundant number, since it is smaller than the sum of its proper divisors (246643866736).

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

212141144144 is a wasteful number, since it uses less digits than its factorization.

212141144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60828 (or 60822 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

Adding to 212141144144 its reverse (441441141212), we get a palindrome (653582285356).

The spelling of 212141144144 in words is "two hundred twelve billion, one hundred forty-one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 683 1292 1366 2584 2732 5168 5464 10928 11611 12977 23222 25954 46444 51908 60101 92888 103816 120202 185776 207632 220609 240404 441218 480808 882436 961616 1021717 1141919 1764872 2043434 2283838 3529744 4086868 4567676 8173736 9135352 16347472 18270704 19412623 38825246 41048983 77650492 82097966 155300984 164195932 310601968 328391864 656783728 697832711 779930677 1395665422 1559861354 2791330844 3119722708 5582661688 6239445416 11165323376 12478890832 13258821509 26517643018 53035286036 106070572072 212141144144