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10944349740 = 223253113191487
BaseRepresentation
bin10100011000101010…
…11000011000101100
31001020201201120102200
422030111120120230
5134403223142430
65005555221500
7535132303122
oct121425303054
931221646380
1010944349740
114706888a45
1221552a7890
1310555414bc
1475b745912
15440c4a460
hex28c55862c

10944349740 has 144 divisors (see below), whose sum is σ = 34317803520. Its totient is φ = 2820309120.

The previous prime is 10944349729. The next prime is 10944349751. The reversal of 10944349740 is 4794344901.

10944349740 is a `hidden beast` number, since 1 + 0 + 94 + 434 + 97 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10944349729) and next prime (10944349751).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7359277 + ... + 7360763.

It is an arithmetic number, because the mean of its divisors is an integer number (238318080).

Almost surely, 210944349740 is an apocalyptic number.

10944349740 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 10944349740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

10944349740 is an abundant number, since it is smaller than the sum of its proper divisors (23373453780).

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

10944349740 is a wasteful number, since it uses less digits than its factorization.

10944349740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10944349740 in words is "ten billion, nine hundred forty-four million, three hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1319 1395 1487 1860 2638 2790 2974 3957 4461 5276 5580 5948 6595 7435 7914 8922 11871 13190 13383 14870 15828 17844 19785 22305 23742 26380 26766 29740 39570 40889 44610 46097 47484 53532 59355 66915 79140 81778 89220 92194 118710 122667 133830 138291 163556 184388 204445 230485 237420 245334 267660 276582 368001 408890 414873 460970 490668 553164 613335 691455 736002 817780 829746 921940 1226670 1382910 1472004 1659492 1840005 1961353 2074365 2453340 2765820 3680010 3922706 4148730 5884059 7360020 7845412 8297460 9806765 11768118 17652177 19613530 23536236 29420295 35304354 39227060 58840590 60801943 70608708 88260885 117681180 121603886 176521770 182405829 243207772 304009715 353043540 364811658 547217487 608019430 729623316 912029145 1094434974 1216038860 1824058290 2188869948 2736087435 3648116580 5472174870 10944349740