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1444102140 = 2235133159723
BaseRepresentation
bin101011000010011…
…0011111111111100
310201122022222201110
41112010303333330
510424142232030
6355144042020
750533444215
oct12604637774
93648288643
101444102140
11681181348
12343763310
131a0250510
14d9b1240c
1586ba71b0
hex56133ffc

1444102140 has 96 divisors (see below), whose sum is σ = 4495067136. Its totient is φ = 343998720.

The previous prime is 1444102129. The next prime is 1444102159. The reversal of 1444102140 is 412014441.

It is a congruent number.

It is an unprimeable number.

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, 5682 + ... + 54041.

It is an arithmetic number, because the mean of its divisors is an integer number (46823616).

Almost surely, 21444102140 is an apocalyptic number.

1444102140 is a gapful number since it is divisible by the number (10) 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 1444102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247533568).

1444102140 is an abundant number, since it is smaller than the sum of its proper divisors (3050964996).

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

1444102140 is a wasteful number, since it uses less digits than its factorization.

1444102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59779 (or 59777 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1444102140 is about 38001.3439236035. The cubic root of 1444102140 is about 1130.3145129182.

Adding to 1444102140 its reverse (412014441), we get a palindrome (1856116581).

The spelling of 1444102140 in words is "one billion, four hundred forty-four million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 59723 119446 179169 238892 298615 358338 597230 716676 776399 895845 1194460 1552798 1791690 1851413 2329197 3105596 3583380 3702826 3881995 4658394 5554239 7405652 7763990 9257065 9316788 11108478 11645985 15527980 18514130 22216956 23291970 24068369 27771195 37028260 46583940 48136738 55542390 72205107 96273476 111084780 120341845 144410214 240683690 288820428 361025535 481367380 722051070 1444102140