Search a number
-
+
42816890391 = 31143191239661
BaseRepresentation
bin100111111000000101…
…011110011000010111
311002111222112101200020
4213320011132120113
51200142110443031
631400402320223
73044020364142
oct477005363027
9132458471606
1042816890391
1117182022530
12836b359073
134064844702
14210274b059
1511a8e5b096
hex9f815e617

42816890391 has 64 divisors (see below), whose sum is σ = 64426475520. Its totient is φ = 25069968000.

The previous prime is 42816890383. The next prime is 42816890407. The reversal of 42816890391 is 19309861824.

It is not a de Polignac number, because 42816890391 - 23 = 42816890383 is a prime.

It is a super-2 number, since 2×428168903912 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116890391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64775601 + ... + 64776261.

It is an arithmetic number, because the mean of its divisors is an integer number (1006663680).

Almost surely, 242816890391 is an apocalyptic number.

42816890391 is a deficient number, since it is larger than the sum of its proper divisors (21609585129).

42816890391 is a wasteful number, since it uses less digits than its factorization.

42816890391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 42816890391 in words is "forty-two billion, eight hundred sixteen million, eight hundred ninety thousand, three hundred ninety-one".

Divisors: 1 3 11 33 43 129 191 239 473 573 661 717 1419 1983 2101 2629 6303 7271 7887 8213 10277 21813 24639 28423 30831 45649 85269 90343 113047 126251 136947 157979 271029 312653 339141 378753 473937 502139 937959 1388761 1506417 1737769 1962907 4166283 5213307 5428793 5888721 6793097 16286379 20379291 21591977 30173989 59716723 64775931 74724067 90521967 179150169 224172201 331913879 995741637 1297481527 3892444581 14272296797 42816890391