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212142441340 = 225611671041241
BaseRepresentation
bin1100010110010010101…
…1001100001101111100
3202021120120102121122001
43011210223030031330
511433431431110330
6241242404432044
721220041666424
oct3054453141574
9667516377561
10212142441340
1181a72972095
12351460a8624
131700ab372cb
14a3a69bb484
1557b947e9ca
hex3164acc37c

212142441340 has 48 divisors (see below), whose sum is σ = 455514220224. Its totient is φ = 82966003200.

The previous prime is 212142441323. The next prime is 212142441349. The reversal of 212142441340 is 43144241212.

212142441340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212142441299 and 212142441308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142441349) 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 15 ways as a sum of consecutive naturals, for example, 316881 + ... + 724360.

It is an arithmetic number, because the mean of its divisors is an integer number (9489879588).

Almost surely, 2212142441340 is an apocalyptic number.

212142441340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212142441340 is an abundant number, since it is smaller than the sum of its proper divisors (243371778884).

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

212142441340 is a wasteful number, since it uses less digits than its factorization.

212142441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041478 (or 1041476 counting only the distinct ones).

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

Adding to 212142441340 its reverse (43144241212), we get a palindrome (255286682552).

The spelling of 212142441340 in words is "two hundred twelve billion, one hundred forty-two million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 167 244 305 334 610 668 835 1220 1670 3340 10187 20374 40748 50935 101870 203740 1041241 2082482 4164964 5206205 10412410 20824820 63515701 127031402 173887247 254062804 317578505 347774494 635157010 695548988 869436235 1270314020 1738872470 3477744940 10607122067 21214244134 42428488268 53035610335 106071220670 212142441340