Search a number
-
+
1444740341142 = 237243382713723
BaseRepresentation
bin10101000001100001001…
…111000001110110010110
312010010010102211121112210
4111001201033001312112
5142132312011404032
63023412103254250
7206244004164300
oct25014117016626
95103112747483
101444740341142
1150779029283a
121b400074a386
13a6313aa3107
144dcd65a6970
15278aadac2cc
hex150613c1d96

1444740341142 has 96 divisors (see below), whose sum is σ = 3373314844032. Its totient is φ = 411301691136.

The previous prime is 1444740341141. The next prime is 1444740341173. The reversal of 1444740341142 is 2411430474441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444740341142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444740341141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105271893 + ... + 105285615.

It is an arithmetic number, because the mean of its divisors is an integer number (35138696292).

Almost surely, 21444740341142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444740341142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686657422016).

1444740341142 is an abundant number, since it is smaller than the sum of its proper divisors (1928574502890).

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

1444740341142 is a wasteful number, since it uses less digits than its factorization.

1444740341142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15002 (or 14995 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 1444740341142 in words is "one trillion, four hundred forty-four billion, seven hundred forty million, three hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 433 827 866 1299 1654 2481 2598 3031 4962 5789 6062 9093 11578 13723 17367 18186 21217 27446 34734 40523 41169 42434 63651 81046 82338 96061 121569 127302 192122 243138 288183 358091 576366 672427 716182 1074273 1344854 2017281 2148546 2506637 4034562 5013274 5942059 7519911 11348921 11884118 15039822 17546459 17826177 22697842 34046763 35092918 35652354 41594413 52639377 68093526 79442447 83188826 105278754 124783239 158884894 238327341 249566478 291160891 476654682 556097129 582321782 873482673 1112194258 1668291387 1746965346 3336582774 4914082793 9828165586 14742248379 29484496758 34398579551 68797159102 103195738653 206391477306 240790056857 481580113714 722370170571 1444740341142