Search a number
-
+
40436162208 = 2532132830789
BaseRepresentation
bin100101101010001011…
…101101111010100000
310212101001202212120100
4211222023231322200
51130303124142313
630324235142400
72631021464511
oct455213557240
9125331685510
1040436162208
1116170183182
127a05ba4a00
133a75545900
141d584a6a08
1510b9e40173
hex96a2edea0

40436162208 has 108 divisors (see below), whose sum is σ = 124516312830. Its totient is φ = 12441881088.

The previous prime is 40436162183. The next prime is 40436162227. The reversal of 40436162208 is 80226163404.

40436162208 is a `hidden beast` number, since 4 + 0 + 436 + 16 + 2 + 208 = 666.

40436162208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19279877904 + 21156284304 = 138852^2 + 145452^2 .

It is a super-2 number, since 2×404361622082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 366723 + ... + 464066.

Almost surely, 240436162208 is an apocalyptic number.

40436162208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40436162208 is an abundant number, since it is smaller than the sum of its proper divisors (84080150622).

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

40436162208 is a wasteful number, since it uses less digits than its factorization.

40436162208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830831 (or 830807 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40436162208 in words is "forty billion, four hundred thirty-six million, one hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 830789 1661578 2492367 3323156 4984734 6646312 7477101 9969468 10800257 13292624 14954202 19938936 21600514 26585248 29908404 32400771 39877872 43201028 59816808 64801542 79755744 86402056 97202313 119633616 129603084 140403341 172804112 194404626 239267232 259206168 280806682 345608224 388809252 421210023 518412336 561613364 777618504 842420046 1036824672 1123226728 1263630069 1555237008 1684840092 2246453456 2527260138 3110474016 3369680184 4492906912 5054520276 6739360368 10109040552 13478720736 20218081104 40436162208