Search a number
-
+
141441310512 = 2433678954907
BaseRepresentation
bin1000001110111010001…
…1110001111100110000
3111112002021210001002000
42003232203301330300
54304132433414022
6144551030054000
713135022205525
oct2035643617460
9445067701060
10141441310512
1154a91a29057
12234b44aa300
1310451375958
146bbac1514c
153a2c5266ac
hex20ee8f1f30

141441310512 has 160 divisors (see below), whose sum is σ = 416685830400. Its totient is φ = 45920742912.

The previous prime is 141441310511. The next prime is 141441310553. The reversal of 141441310512 is 215013144141.

It is a happy number.

141441310512 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 131 + 0 + 512 = 666.

141441310512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141441310511) 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, 2548563 + ... + 2603469.

It is an arithmetic number, because the mean of its divisors is an integer number (2604286440).

Almost surely, 2141441310512 is an apocalyptic number.

141441310512 is a gapful number since it is divisible by the number (12) 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 141441310512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208342915200).

141441310512 is an abundant number, since it is smaller than the sum of its proper divisors (275244519888).

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

141441310512 is a wasteful number, since it uses less digits than its factorization.

141441310512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55080 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 141441310512 its reverse (215013144141), we get a palindrome (356454454653).

The spelling of 141441310512 in words is "one hundred forty-one billion, four hundred forty-one million, three hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 89 108 134 144 178 201 216 267 268 356 402 432 534 536 603 712 801 804 1068 1072 1206 1424 1602 1608 1809 2136 2403 2412 3204 3216 3618 4272 4806 4824 5963 6408 7236 9612 9648 11926 12816 14472 17889 19224 23852 28944 35778 38448 47704 53667 54907 71556 95408 107334 109814 143112 161001 164721 214668 219628 286224 322002 329442 429336 439256 494163 644004 658884 858672 878512 988326 1288008 1317768 1482489 1976652 2576016 2635536 2964978 3678769 3953304 4886723 5929956 7357538 7906608 9773446 11036307 11859912 14660169 14715076 19546892 22072614 23719824 29320338 29430152 33108921 39093784 43980507 44145228 58640676 58860304 66217842 78187568 87961014 88290456 99326763 117281352 131941521 132435684 175922028 176580912 198653526 234562704 263883042 264871368 327410441 351844056 397307052 527766084 529742736 654820882 703688112 794614104 982231323 1055532168 1309641764 1589228208 1964462646 2111064336 2619283528 2946693969 3928925292 5238567056 5893387938 7857850584 8840081907 11786775876 15715701168 17680163814 23573551752 35360327628 47147103504 70720655256 141441310512