Search a number
-
+
110331214240434 = 23114367580244729
BaseRepresentation
bin11001000101100001111100…
…110101010001101010110010
3112110122120011000120111222020
4121011201330311101222302
5103430131311321143214
61030353243214252310
732145111225226515
oct3105417465215262
9473576130514866
10110331214240434
1132178229123310
121045ab184b7096
13497425bc04305
141d360b8886d7c
15cb4e7c3ea4a9
hex64587cd51ab2

110331214240434 has 64 divisors (see below), whose sum is σ = 249997281431040. Its totient is φ = 32168767720320.

The previous prime is 110331214240399. The next prime is 110331214240459. The reversal of 110331214240434 is 434042412133011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 110331214240395 and 110331214240404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289932219 + ... + 290312510.

It is an arithmetic number, because the mean of its divisors is an integer number (3906207522360).

Almost surely, 2110331214240434 is an apocalyptic number.

110331214240434 is an abundant number, since it is smaller than the sum of its proper divisors (139666067190606).

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

110331214240434 is a wasteful number, since it uses less digits than its factorization.

110331214240434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580244855.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 110331214240434 its reverse (434042412133011), we get a palindrome (544373626373445).

The spelling of 110331214240434 in words is "one hundred ten trillion, three hundred thirty-one billion, two hundred fourteen million, two hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 129 134 201 258 402 473 737 946 1419 1474 2211 2838 2881 4422 5762 8643 17286 31691 63382 95073 190146 580244729 1160489458 1740734187 3481468374 6382692019 12765384038 19148076057 24950523347 38296152114 38876396843 49901046694 74851570041 77752793686 116629190529 149703140082 233258381058 274455756817 427640365273 548911513634 823367270451 855280730546 1282921095819 1646734540902 1671685064249 2565842191638 3343370128498 5015055192747 10030110385494 18388535706739 36777071413478 55165607120217 110331214240434