Search a number
-
+
40035352256 = 263121314969
BaseRepresentation
bin100101010010010010…
…101111111011000000
310211100010120121200022
4211102102233323000
51123443022233011
630220400313012
72615053610414
oct452222577300
9124303517608
1040035352256
1115a84a04789
127913912768
133a104ac763
141d1b170d44
151094b6b8db
hex9524afec0

40035352256 has 84 divisors (see below), whose sum is σ = 82733860440. Its totient is φ = 19220198400.

The previous prime is 40035352249. The next prime is 40035352319. The reversal of 40035352256 is 65225353004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8054540 + ... + 8059508.

It is an arithmetic number, because the mean of its divisors is an integer number (984926910).

Almost surely, 240035352256 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 40035352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41366930220).

40035352256 is an abundant number, since it is smaller than the sum of its proper divisors (42698508184).

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

40035352256 is a wasteful number, since it uses less digits than its factorization.

40035352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 40035352256 in words is "forty billion, thirty-five million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 131 248 262 496 524 961 992 1048 1922 1984 2096 3844 4061 4192 4969 7688 8122 8384 9938 15376 16244 19876 30752 32488 39752 61504 64976 79504 125891 129952 154039 159008 251782 259904 308078 318016 503564 616156 650939 1007128 1232312 1301878 2014256 2464624 2603756 4028512 4775209 4929248 5207512 8057024 9550418 9858496 10415024 19100836 20179109 20830048 38201672 40358218 41660096 76403344 80716436 152806688 161432872 305613376 322865744 625552379 645731488 1251104758 1291462976 2502209516 5004419032 10008838064 20017676128 40035352256