Search a number
-
+
16244421144 = 23377111631171
BaseRepresentation
bin11110010000011111…
…00011001000011000
31112221002202002120120
433020033203020120
5231232032434034
611243530153240
71113360205260
oct171017431030
945832662516
1016244421144
116986609046
123194282820
1316bb5c4523
14b015d87a0
156511c6c49
hex3c83e3218

16244421144 has 128 divisors (see below), whose sum is σ = 47147028480. Its totient is φ = 4568054400.

The previous prime is 16244421101. The next prime is 16244421169. The reversal of 16244421144 is 44112444261.

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

It is a congruent number.

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, 13871679 + ... + 13872849.

It is an arithmetic number, because the mean of its divisors is an integer number (368336160).

Almost surely, 216244421144 is an apocalyptic number.

16244421144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16244421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23573514240).

16244421144 is an abundant number, since it is smaller than the sum of its proper divisors (30902607336).

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

16244421144 is a wasteful number, since it uses less digits than its factorization.

16244421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The spelling of 16244421144 in words is "sixteen billion, two hundred forty-four million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1163 1171 1491 1704 1988 2326 2342 2982 3489 3513 3976 4652 4684 5964 6978 7026 8141 8197 9304 9368 11928 13956 14052 16282 16394 24423 24591 27912 28104 32564 32788 48846 49182 65128 65576 82573 83141 97692 98364 165146 166282 195384 196728 247719 249423 330292 332564 495438 498846 578011 581987 660584 665128 990876 997692 1156022 1163974 1361873 1734033 1745961 1981752 1995384 2312044 2327948 2723746 3468066 3491922 4085619 4624088 4655896 5447492 6936132 6983844 8171238 9533111 10894984 13872264 13967688 16342476 19066222 28599333 32684952 38132444 57198666 76264888 96692983 114397332 193385966 228794664 290078949 386771932 580157898 676850881 773543864 1160315796 1353701762 2030552643 2320631592 2707403524 4061105286 5414807048 8122210572 16244421144