Search a number
-
+
444003310140 = 223513878364811
BaseRepresentation
bin1100111011000001010…
…10001101101000111100
31120110001100120010121020
412131200222031220330
524233304321411030
6535550003504140
744035546602645
oct6354052155074
91513040503536
10444003310140
11161334325615
1272073988050
1332b3bc00b70
14176c03066cc
15b839aab510
hex6760a8da3c

444003310140 has 96 divisors (see below), whose sum is σ = 1339013846016. Its totient is φ = 109278992640.

The previous prime is 444003310139. The next prime is 444003310171. The reversal of 444003310140 is 41013300444.

It is a self number, because there is not a number n which added to its sum of digits gives 444003310140.

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, 6818335 + ... + 6883145.

It is an arithmetic number, because the mean of its divisors is an integer number (13948060896).

Almost surely, 2444003310140 is an apocalyptic number.

It is an amenable number.

444003310140 is an abundant number, since it is smaller than the sum of its proper divisors (895010535876).

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

444003310140 is a wasteful number, since it uses less digits than its factorization.

444003310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73619 (or 73617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 444003310140 its reverse (41013300444), we get a palindrome (485016610584).

The spelling of 444003310140 in words is "four hundred forty-four billion, three million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 8783 17566 26349 35132 43915 52698 64811 87830 105396 114179 129622 131745 175660 194433 228358 259244 263490 324055 342537 388866 456716 526980 570895 648110 685074 777732 842543 972165 1141790 1296220 1370148 1685086 1712685 1944330 2283580 2527629 3370172 3425370 3888660 4212715 5055258 6850740 8425430 10110516 12638145 16850860 25276290 50552580 569235013 1138470026 1707705039 2276940052 2846175065 3415410078 5692350130 6830820156 7400055169 8538525195 11384700260 14800110338 17077050390 22200165507 29600220676 34154100780 37000275845 44400331014 74000551690 88800662028 111000827535 148001103380 222001655070 444003310140