Search a number
-
+
136433933424 = 243210134926879
BaseRepresentation
bin111111100010000011…
…0001001110001110000
3111001011022111221001100
41333010012021301300
54213404041332144
6142402112404400
712566650204515
oct1770406116160
9431138457040
10136433933424
1152952442588
1222537546700
13cb33b33329
146863b9330c
153837b14269
hex1fc4189c70

136433933424 has 120 divisors (see below), whose sum is σ = 386725248000. Its totient is φ = 44897011200.

The previous prime is 136433933423. The next prime is 136433933443. The reversal of 136433933424 is 424339334631.

136433933424 is a `hidden beast` number, since 136 + 4 + 3 + 3 + 93 + 3 + 424 = 666.

It is a super-2 number, since 2×1364339334242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136433933424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136433933423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5062417 + ... + 5089295.

It is an arithmetic number, because the mean of its divisors is an integer number (3222710400).

Almost surely, 2136433933424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136433933424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624000).

136433933424 is an abundant number, since it is smaller than the sum of its proper divisors (250291314576).

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

136433933424 is a wasteful number, since it uses less digits than its factorization.

136433933424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27343 (or 27334 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 136433933424 in words is "one hundred thirty-six billion, four hundred thirty-three million, nine hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 349 404 606 698 808 909 1047 1212 1396 1616 1818 2094 2424 2792 3141 3636 4188 4848 5584 6282 7272 8376 12564 14544 16752 25128 26879 35249 50256 53758 70498 80637 105747 107516 140996 161274 211494 215032 241911 281992 317241 322548 422988 430064 483822 563984 634482 645096 845976 967644 1268964 1290192 1691952 1935288 2537928 2714779 3870576 5075856 5429558 8144337 9380771 10859116 16288674 18761542 21718232 24433011 28142313 32577348 37523084 43436464 48866022 56284626 65154696 75046168 84426939 97732044 112569252 130309392 150092336 168853878 195464088 225138504 337707756 390928176 450277008 675415512 947457871 1350831024 1894915742 2842373613 3789831484 5684747226 7579662968 8527120839 11369494452 15159325936 17054241678 22738988904 34108483356 45477977808 68216966712 136433933424