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4214052444 = 223779691919
BaseRepresentation
bin1111101100101101…
…0101011001011100
3101212200111001012110
43323023111121130
532112244134234
61534053434020
7206266566120
oct37313253134
911780431173
104214052444
1118727a4a78
1299733b910
13522088c74
142bd953580
15199e581e9
hexfb2d565c

4214052444 has 96 divisors (see below), whose sum is σ = 11408588800. Its totient is φ = 1185762240.

The previous prime is 4214052443. The next prime is 4214052461. The reversal of 4214052444 is 4442504124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214052443) 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 31 ways as a sum of consecutive naturals, for example, 4585017 + ... + 4585935.

Almost surely, 24214052444 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 4214052444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704294400).

4214052444 is an abundant number, since it is smaller than the sum of its proper divisors (7194536356).

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

4214052444 is a wasteful number, since it uses less digits than its factorization.

4214052444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4214052444 is about 64915.7334087816. The cubic root of 4214052444 is about 1615.2260568523.

Adding to 4214052444 its reverse (4442504124), we get a palindrome (8656556568).

The spelling of 4214052444 in words is "four billion, two hundred fourteen million, fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 691 919 948 1106 1382 1659 1838 2073 2212 2757 2764 3318 3676 4146 4837 5514 6433 6636 8292 9674 11028 12866 14511 19299 19348 25732 29022 38598 54589 58044 72601 77196 109178 145202 163767 217803 218356 290404 327534 382123 435606 508207 635029 655068 764246 871212 1016414 1146369 1270058 1524621 1528492 1905087 2032828 2292738 2540116 3049242 3810174 4445203 4585476 6098484 7620348 8890406 13335609 17780812 26671218 50167291 53342436 100334582 150501873 200669164 301003746 351171037 602007492 702342074 1053513111 1404684148 2107026222 4214052444