Search a number
-
+
3114131221410 = 2351183479237361
BaseRepresentation
bin101101010100010000101…
…011110110101110100010
3102000201010011022001012120
4231110100223312232202
5402010220043041120
610342340115405110
7440663034426606
oct55242053665642
912021104261176
103114131221410
11aa0771986660
124236582b3796
13197879ba3c01
14aaa20a2b506
1556014382140
hex2d510af6ba2

3114131221410 has 128 divisors (see below), whose sum is σ = 8268856565760. Its totient is φ = 744285004800.

The previous prime is 3114131221403. The next prime is 3114131221447. The reversal of 3114131221410 is 141221314113.

3114131221410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13001130 + ... + 13238490.

It is an arithmetic number, because the mean of its divisors is an integer number (64600441920).

Almost surely, 23114131221410 is an apocalyptic number.

3114131221410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114131221410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134428282880).

3114131221410 is an abundant number, since it is smaller than the sum of its proper divisors (5154725344350).

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

3114131221410 is a wasteful number, since it uses less digits than its factorization.

3114131221410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237944.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 3114131221410 its reverse (141221314113), we get a palindrome (3255352535523).

The spelling of 3114131221410 in words is "three trillion, one hundred fourteen billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 479 498 830 913 958 1245 1437 1826 2395 2490 2739 2874 4565 4790 5269 5478 7185 9130 10538 13695 14370 15807 26345 27390 31614 39757 52690 79035 79514 119271 158070 198785 237361 238542 397570 437327 474722 596355 712083 874654 1186805 1192710 1311981 1424166 2186635 2373610 2610971 2623962 3560415 4373270 5221942 6559905 7120830 7832913 13054855 13119810 15665826 19700963 26109710 39164565 39401926 59102889 78329130 98504815 113695919 118205778 197009630 216710593 227391838 295514445 341087757 433421186 568479595 591028890 650131779 682175514 1083552965 1136959190 1250655109 1300263558 1705438785 2167105930 2501310218 3250658895 3410877570 3751965327 6253275545 6501317790 7503930654 9436761277 12506551090 18759826635 18873522554 28310283831 37519653270 47183806385 56620567662 94367612770 103804374047 141551419155 207608748094 283102838310 311413122141 519021870235 622826244282 1038043740470 1557065610705 3114131221410