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100434401444 = 221318839102523
BaseRepresentation
bin101110110001001011…
…0110101100010100100
3100121020110001020000002
41131202112311202210
53121142201321234
6114050001440432
710153600220006
oct1354226654244
9317213036002
10100434401444
1139659668363
121756b340118
139617807510
144c0aa1c376
15292c44627e
hex17625b58a4

100434401444 has 24 divisors (see below), whose sum is σ = 189292111680. Its totient is φ = 46351426464.

The previous prime is 100434401401. The next prime is 100434401447. The reversal of 100434401444 is 444104434001.

It is not an unprimeable number, because it can be changed into a prime (100434401447) 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, 928367 + ... + 1030889.

It is an arithmetic number, because the mean of its divisors is an integer number (7887171320).

Almost surely, 2100434401444 is an apocalyptic number.

It is an amenable number.

100434401444 is a deficient number, since it is larger than the sum of its proper divisors (88857710236).

100434401444 is a wasteful number, since it uses less digits than its factorization.

100434401444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121379 (or 121377 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 100434401444 its reverse (444104434001), we get a palindrome (544538835445).

The spelling of 100434401444 in words is "one hundred billion, four hundred thirty-four million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 18839 37678 75356 102523 205046 244907 410092 489814 979628 1332799 2665598 5331196 1931430797 3862861594 7725723188 25108600361 50217200722 100434401444