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34442231120 = 2451183471553
BaseRepresentation
bin100000000100111010…
…101011110101010000
310021220100010121212122
4200010322223311100
51031014202343440
623453400313412
72326340063663
oct400472536520
9107810117778
1034442231120
1113674818020
126812772868
13332b7c331b
14194a3d76da
15d68b057b5
hex804eabd50

34442231120 has 80 divisors (see below), whose sum is σ = 88410716352. Its totient is φ = 12373524480.

The previous prime is 34442231113. The next prime is 34442231143. The reversal of 34442231120 is 2113224443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34442231120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162737 + ... + 308816.

Almost surely, 234442231120 is an apocalyptic number.

It is an amenable number.

34442231120 is an abundant number, since it is smaller than the sum of its proper divisors (53968485232).

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

34442231120 is a wasteful number, since it uses less digits than its factorization.

34442231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471660 (or 471654 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34442231120 its reverse (2113224443), we get a palindrome (36555455563).

It can be divided in two parts, 34442 and 231120, that added together give a palindrome (265562).

The spelling of 34442231120 in words is "thirty-four billion, four hundred forty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 471553 943106 1886212 2357765 3772424 4715530 5187083 7544848 9431060 10374166 18862120 20748332 25935415 37724240 39138899 41496664 51870830 78277798 82993328 103741660 156555596 195694495 207483320 313111192 391388990 414966640 430527889 626222384 782777980 861055778 1565555960 1722111556 2152639445 3131111920 3444223112 4305278890 6888446224 8610557780 17221115560 34442231120