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445301142 = 23111333783
BaseRepresentation
bin11010100010101…
…100000110010110
31011000220122022220
4122202230012112
51402444114032
6112104203210
714014666026
oct3242540626
91130818286
10445301142
112093a7380
12105169506
1371343000
14431d7a86
152916112c
hex1a8ac196

445301142 has 128 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 119733120.

The previous prime is 445301099. The next prime is 445301149. The reversal of 445301142 is 241103544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445301149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5365033 + ... + 5365115.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2445301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

445301142 is an abundant number, since it is smaller than the sum of its proper divisors (648661098).

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

445301142 is a wasteful number, since it uses less digits than its factorization.

445301142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 445301142 is about 21102.1596525095. The cubic root of 445301142 is about 763.6328505997.

Adding to 445301142 its reverse (241103544), we get a palindrome (686404686).

The spelling of 445301142 in words is "four hundred forty-five million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 83 111 143 166 169 222 249 286 338 407 429 481 498 507 814 858 913 962 1014 1079 1221 1443 1826 1859 2158 2197 2442 2739 2886 3071 3237 3718 4394 5291 5478 5577 6142 6253 6474 6591 9213 10582 11154 11869 12506 13182 14027 15873 18426 18759 23738 24167 28054 31746 33781 35607 37518 39923 42081 48334 67562 68783 71214 72501 79846 81289 84162 101343 119769 137566 145002 154297 162578 182351 202686 206349 239538 243867 308594 364702 412698 439153 462891 487734 518999 547053 878306 894179 925782 1037998 1094106 1317459 1556997 1788358 2005861 2634918 2682537 3113994 4011722 5365074 5708989 6017583 6746987 11417978 12035166 13493974 17126967 20240961 34253934 40481922 74216857 148433714 222650571 445301142