Search a number
-
+
2140440412 = 22114397107109
BaseRepresentation
bin111111110010100…
…1000011101011100
312112011121122020211
41333211020131130
513340423043122
6552221022204
7104020305025
oct17745103534
95464548224
102140440412
119a924a620
124b89b4964
132815a9cb6
141643b5c4c
15c7da4877
hex7f94875c

2140440412 has 96 divisors (see below), whose sum is σ = 4303031040. Its totient is φ = 923166720.

The previous prime is 2140440391. The next prime is 2140440433.

2140440412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2140440391) and next prime (2140440433).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 19637014 + ... + 19637122.

It is an arithmetic number, because the mean of its divisors is an integer number (44823240).

Almost surely, 22140440412 is an apocalyptic number.

2140440412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2140440412 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2140440412 is a wasteful number, since it uses less digits than its factorization.

2140440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2140440412 is about 46264.8939477872. The cubic root of 2140440412 is about 1288.7471384682.

It can be divided in two parts, 21404 and 40412, that added together give a palindrome (61816).

The spelling of 2140440412 in words is "two billion, one hundred forty million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 4 11 22 43 44 86 97 107 109 172 194 214 218 388 428 436 473 946 1067 1177 1199 1892 2134 2354 2398 4171 4268 4601 4687 4708 4796 8342 9202 9374 10379 10573 11663 16684 18404 18748 20758 21146 23326 41516 42292 45881 46652 50611 51557 91762 101222 103114 114169 116303 128293 183524 202444 206228 228338 232606 256586 446297 454639 456676 465212 501509 513172 892594 909278 1003018 1131311 1785188 1818556 2006036 2262622 4525244 4909267 5001029 5516599 9818534 10002058 11033198 12444421 19637068 20004116 22066396 24888842 48646373 49777684 97292746 194585492 535110103 1070220206 2140440412