Search a number
-
+
40677354336 = 2537314234079
BaseRepresentation
bin100101111000100011…
…110010101101100000
310212222212121200222010
4211320203302231200
51131301400314321
630404212512520
72640010543533
oct457043625540
9125885550863
1040677354336
1116284340413
127a7291b740
133ab34c3248
141d7c52ca1a
1510d11d4676
hex9788f2b60

40677354336 has 96 divisors (see below), whose sum is σ = 108343388160. Its totient is φ = 13360702464.

The previous prime is 40677354259. The next prime is 40677354337. The reversal of 40677354336 is 63345377604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40677354337) 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 15 ways as a sum of consecutive naturals, for example, 9970345 + ... + 9974423.

It is an arithmetic number, because the mean of its divisors is an integer number (1128576960).

Almost surely, 240677354336 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 40677354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54171694080).

40677354336 is an abundant number, since it is smaller than the sum of its proper divisors (67666033824).

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

40677354336 is a wasteful number, since it uses less digits than its factorization.

40677354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 48.

The spelling of 40677354336 in words is "forty billion, six hundred seventy-seven million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1423 1752 2336 2846 3504 4079 4269 5692 7008 8158 8538 11384 12237 16316 17076 22768 24474 32632 34152 45536 48948 65264 68304 97896 103879 130528 136608 195792 207758 297767 311637 391584 415516 595534 623274 831032 893301 1191068 1246548 1662064 1786602 2382136 2493096 3324128 3573204 4764272 4986192 5804417 7146408 9528544 9972384 11608834 14292816 17413251 23217668 28585632 34826502 46435336 69653004 92870672 139306008 185741344 278612016 423722441 557224032 847444882 1271167323 1694889764 2542334646 3389779528 5084669292 6779559056 10169338584 13559118112 20338677168 40677354336