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214204401444 = 2231143227316603
BaseRepresentation
bin1100011101111110010…
…0111100011100100100
3202110220021101001010210
43013133210330130210
512002142311321234
6242223143415420
721322120241055
oct3073744743444
9673807331123
10214204401444
1182930889250
1235620754570
1317279096847
14a5207a472c
15588a4d0be9
hex31df93c724

214204401444 has 96 divisors (see below), whose sum is σ = 558206820864. Its totient is φ = 63369169920.

The previous prime is 214204401379. The next prime is 214204401451. The reversal of 214204401444 is 444104402412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12893247 + ... + 12909849.

It is an arithmetic number, because the mean of its divisors is an integer number (5814654384).

Almost surely, 2214204401444 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 214204401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279103410432).

214204401444 is an abundant number, since it is smaller than the sum of its proper divisors (344002419420).

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

214204401444 is a wasteful number, since it uses less digits than its factorization.

214204401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18937 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 214204401444 its reverse (444104402412), we get a palindrome (658308803856).

The spelling of 214204401444 in words is "two hundred fourteen billion, two hundred four million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2273 2838 4546 5676 6819 9092 13638 16603 25003 27276 33206 49809 50006 66412 75009 97739 99618 100012 150018 182633 195478 199236 293217 300036 365266 390956 547899 586434 713929 730532 1075129 1095798 1172868 1427858 2141787 2150258 2191596 2855716 3225387 4283574 4300516 6450774 7853219 8567148 12901548 15706438 23559657 31412876 37738619 47119314 75477238 94238628 113215857 150954476 226431714 415124809 452863428 830249618 1245374427 1622760617 1660499236 2490748854 3245521234 4868281851 4981497708 6491042468 9736563702 17850366787 19473127404 35700733574 53551100361 71401467148 107102200722 214204401444