Search a number
-
+
110141132430144 = 2631733331016579
BaseRepresentation
bin11001000010110000111011…
…000100101101101101000000
3112102222101111220010001222110
4121002300323010231231000
5103414023014400231034
61030130045425335320
732125301636421504
oct3102607304555500
9472871456101873
10110141132430144
1132104656979912
121042a10a497540
13495c35865a25a
141d2ac05b10304
15cb0054a73de9
hex642c3b12db40

110141132430144 has 56 divisors (see below), whose sum is σ = 291583236857760. Its totient is φ = 36692525638144.

The previous prime is 110141132430143. The next prime is 110141132430157. The reversal of 110141132430144 is 441034231141011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110141132430143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165175554 + ... + 165841025.

Almost surely, 2110141132430144 is an apocalyptic number.

It is an amenable number.

110141132430144 is an abundant number, since it is smaller than the sum of its proper divisors (181442104427616).

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

110141132430144 is a wasteful number, since it uses less digits than its factorization.

110141132430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331018327 (or 331018317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 110141132430144 its reverse (441034231141011), we get a palindrome (551175363571155).

The spelling of 110141132430144 in words is "one hundred ten trillion, one hundred forty-one billion, one hundred thirty-two million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1733 3466 5199 6932 10398 13864 20796 27728 41592 55456 83184 110912 166368 332736 331016579 662033158 993049737 1324066316 1986099474 2648132632 3972198948 5296265264 7944397896 10592530528 15888795792 21185061056 31777591584 63555183168 573651731407 1147303462814 1720955194221 2294606925628 3441910388442 4589213851256 6883820776884 9178427702512 13767641553768 18356855405024 27535283107536 36713710810048 55070566215072 110141132430144