Search a number
-
+
140304340012240 = 245371791579716763
BaseRepresentation
bin11111111001101100100110…
…010110001100110011010000
3200101202222000200200000220101
4133321230212112030303100
5121342221242020342430
61214222531325422144
741360440224513355
oct3771544626146320
9611688020600811
10140304340012240
1140783811234a18
121389bb0770a954
13603984772aa91
142690aa29b062c
151134987bd4dca
hex7f9b2658ccd0

140304340012240 has 160 divisors (see below), whose sum is σ = 336937079825280. Its totient is φ = 54293200422912.

The previous prime is 140304340012237. The next prime is 140304340012271. The reversal of 140304340012240 is 42210043403041.

It is a junction number, because it is equal to n+sod(n) for n = 140304340012199 and 140304340012208.

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, 8369874099 + ... + 8369890861.

It is an arithmetic number, because the mean of its divisors is an integer number (2105856748908).

Almost surely, 2140304340012240 is an apocalyptic number.

140304340012240 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 140304340012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168468539912640).

140304340012240 is an abundant number, since it is smaller than the sum of its proper divisors (196632739813040).

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

140304340012240 is a wasteful number, since it uses less digits than its factorization.

140304340012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32789 (or 32783 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140304340012240 its reverse (42210043403041), we get a palindrome (182514383415281).

The spelling of 140304340012240 in words is "one hundred forty trillion, three hundred four billion, three hundred forty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 179 185 296 358 370 592 716 740 895 1432 1480 1790 2864 2960 3580 6623 7160 13246 14320 15797 16763 26492 31594 33115 33526 52984 63188 66230 67052 78985 83815 105968 126376 132460 134104 157970 167630 252752 264920 268208 315940 335260 529840 584489 620231 631880 670520 1168978 1240462 1263760 1341040 2337956 2480924 2827663 2922445 3000577 3101155 4675912 4961848 5655326 5844890 6001154 6202310 9351824 9923696 11310652 11689780 12002308 12404620 14138315 15002885 22621304 23379560 24004616 24809240 28276630 30005770 45242608 46759120 48009232 49618480 56553260 60011540 104623531 111021349 113106520 120023080 209247062 222042698 226213040 240046160 264805111 418494124 444085396 523117655 529610222 555106745 836988248 888170792 1046235310 1059220444 1110213490 1324025555 1673976496 1776341584 2092470620 2118440888 2220426980 2648051110 4184941240 4236881776 4440853960 5296102220 8369882480 8881707920 9797789107 10592204440 19595578214 21184408880 39191156428 47400114869 48988945535 78382312856 94800229738 97977891070 156764625712 189600459476 195955782140 237000574345 379200918952 391911564280 474001148690 758401837904 783823128560 948002297380 1753804250153 1896004594760 3507608500306 3792009189520 7015217000612 8769021250765 14030434001224 17538042501530 28060868002448 35076085003060 70152170006120 140304340012240