Search a number
-
+
40114410105 = 35711277125383
BaseRepresentation
bin100101010111000000…
…010101001001111001
310211112122100011122210
4211113000111021321
51124123242110410
630232303005333
72620033600650
oct452700251171
9124478304583
1040114410105
11160155a2050
127936299849
133a239a0053
141d27870197
15109ba86220
hex957015279

40114410105 has 64 divisors (see below), whose sum is σ = 80309956608. Its totient is φ = 16610607360.

The previous prime is 40114410073. The next prime is 40114410107. The reversal of 40114410105 is 50101441104.

It is not a de Polignac number, because 40114410105 - 25 = 40114410073 is a prime.

It is a super-2 number, since 2×401144101052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40114410107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257244 + ... + 382626.

It is an arithmetic number, because the mean of its divisors is an integer number (1254843072).

Almost surely, 240114410105 is an apocalyptic number.

It is an amenable number.

40114410105 is an abundant number, since it is smaller than the sum of its proper divisors (40195546503).

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

40114410105 is a wasteful number, since it uses less digits than its factorization.

40114410105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125686.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 40114410105 its reverse (50101441104), we get a palindrome (90215851209).

The spelling of 40114410105 in words is "forty billion, one hundred fourteen million, four hundred ten thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 277 385 831 1155 1385 1939 3047 4155 5817 9141 9695 15235 21329 29085 45705 63987 106645 125383 319935 376149 626915 877681 1379213 1880745 2633043 4137639 4388405 6896065 9654491 13165215 20688195 28963473 34731091 48272455 104193273 144817365 173655455 243117637 382042001 520966365 729352911 1146126003 1215588185 1910210005 2674294007 3646764555 5730630015 8022882021 13371470035 40114410105