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212442140512 = 2572669120249
BaseRepresentation
bin1100010111011010001…
…0011100111101100000
3202022100110100220121101
43011312202130331200
511440040141444022
6241332232204144
721230341254100
oct3056642347540
9668313326541
10212442140512
1182107060558
123520a539654
1317057c5b1b4
14a3d4713200
1557d592e627
hex317689cf60

212442140512 has 72 divisors (see below), whose sum is σ = 486627183000. Its totient is φ = 91028528640.

The previous prime is 212442140509. The next prime is 212442140513. The reversal of 212442140512 is 215041244212.

212442140512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442140513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10481364 + ... + 10501612.

It is an arithmetic number, because the mean of its divisors is an integer number (6758710875).

Almost surely, 2212442140512 is an apocalyptic number.

It is an amenable number.

212442140512 is an abundant number, since it is smaller than the sum of its proper divisors (274185042488).

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

212442140512 is a wasteful number, since it uses less digits than its factorization.

212442140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26964 (or 26949 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 212442140512 its reverse (215041244212), we get a palindrome (427483384724).

The spelling of 212442140512 in words is "two hundred twelve billion, four hundred forty-two million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 6691 13382 20249 26764 40498 46837 53528 80996 93674 107056 141743 161992 187348 214112 283486 323984 327859 374696 566972 647968 655718 749392 992201 1133944 1311436 1498784 1984402 2267888 2622872 3968804 4535776 5245744 7937608 10491488 15875216 31750432 135486059 270972118 541944236 948402413 1083888472 1896804826 2167776944 3793609652 4335553888 6638816891 7587219304 13277633782 15174438608 26555267564 30348877216 53110535128 106221070256 212442140512