Search a number
-
+
320213760136640 = 2653183388910999
BaseRepresentation
bin100100011001110111001001…
…1011011001101010111000000
31112222210010200111211010220122
41020303232103123031113000
5313432340240043333030
63053012100503555412
7124306452325631306
oct11063562333152700
91488703614733818
10320213760136640
1193036990707007
122bab76a445bb68
131098a049712cb6
145910600450276
152704764bbb8e5
hex1233b936cd5c0

320213760136640 has 112 divisors (see below), whose sum is σ = 796589289216000. Its totient is φ = 122460295050240.

The previous prime is 320213760136637. The next prime is 320213760136757. The reversal of 320213760136640 is 46631067312023.

It is a junction number, because it is equal to n+sod(n) for n = 320213760136591 and 320213760136600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193632140 + ... + 195278859.

It is an arithmetic number, because the mean of its divisors is an integer number (7112404368000).

Almost surely, 2320213760136640 is an apocalyptic number.

It is an amenable number.

320213760136640 is an abundant number, since it is smaller than the sum of its proper divisors (476375529079360).

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

320213760136640 is a wasteful number, since it uses less digits than its factorization.

320213760136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388911130 (or 388911120 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 320213760136640 in words is "three hundred twenty trillion, two hundred thirteen billion, seven hundred sixty million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 155 160 166 248 310 320 332 415 496 620 664 830 992 1240 1328 1660 1984 2480 2573 2656 3320 4960 5146 5312 6640 9920 10292 12865 13280 20584 25730 26560 41168 51460 82336 102920 164672 205840 411680 823360 388910999 777821998 1555643996 1944554995 3111287992 3889109990 6222575984 7778219980 12056240969 12445151968 15556439960 24112481938 24890303936 31112879920 32279612917 48224963876 60281204845 62225759840 64559225834 96449927752 120562409690 124451519680 129118451668 161398064585 192899855504 241124819380 258236903336 322796129170 385799711008 482249638760 516473806672 645592258340 771599422016 964499277520 1000668000427 1032947613344 1291184516680 1928998555040 2001336000854 2065895226688 2582369033360 3857997110080 4002672001708 5003340002135 5164738066720 8005344003416 10006680004270 10329476133440 16010688006832 20013360008540 32021376013664 40026720017080 64042752027328 80053440034160 160106880068320 320213760136640