Search a number
-
+
2144205151010 = 2513414310985831
BaseRepresentation
bin11111001100111100100…
…101100001101100100010
321120222120100021112102222
4133030330211201230202
5240112313004313020
64321011221511042
7310625255030606
oct37147445415442
97528510245388
102144205151010
117573969aa13a
122a7689b72482
131272753b67b0
1475acc795506
153ab97e99b25
hex1f33c961b22

2144205151010 has 128 divisors (see below), whose sum is σ = 4396878097920. Its totient is φ = 747503769600.

The previous prime is 2144205151001. The next prime is 2144205151037. The reversal of 2144205151010 is 101515024412.

It is a happy number.

It is a super-3 number, since 3×21442051510103 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 24938795 + ... + 25024625.

It is an arithmetic number, because the mean of its divisors is an integer number (34350610140).

Almost surely, 22144205151010 is an apocalyptic number.

2144205151010 is an abundant number, since it is smaller than the sum of its proper divisors (2252672946910).

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

2144205151010 is a wasteful number, since it uses less digits than its factorization.

2144205151010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86044.

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 2144205151010 in words is "two trillion, one hundred forty-four billion, two hundred five million, one hundred fifty-one thousand, ten".

Divisors: 1 2 5 10 13 26 41 43 65 82 86 109 130 205 215 218 410 430 533 545 559 1066 1090 1118 1417 1763 2665 2795 2834 3526 4469 4687 5330 5590 7085 8815 8938 9374 14170 17630 22345 22919 23435 44690 45838 46870 58097 60931 85831 114595 116194 121862 171662 192167 229190 290485 304655 384334 429155 580970 609310 858310 960835 1115803 1921670 2231606 2498171 3519071 3690733 4996342 5579015 7038142 7381466 9355579 11158030 12490855 17595355 18453665 18711158 24981710 35190710 36907330 45747923 46777895 47979529 91495846 93555790 95959058 121622527 151320053 228739615 239897645 243245054 302640106 383578739 402289897 457479230 479795290 608112635 756600265 767157478 804579794 1216225270 1513200530 1917893695 1967160689 2011449485 3835787390 3934321378 4022898970 4986523607 5229768661 9835803445 9973047214 10459537322 16493885777 19671606890 24932618035 26148843305 32987771554 49865236070 52297686610 82469428885 164938857770 214420515101 428841030202 1072102575505 2144205151010