Search a number
-
+
40455514112 = 2111329151347
BaseRepresentation
bin100101101011010101…
…100010100000000000
310212102102012001101112
4211223111202200000
51130323102422422
630330210022452
72631345124166
oct455325424000
9125372161345
1040455514112
11161800a0592
127a10577a28
133a79560040
141d5aca3236
1510bb9b3ee2
hex96b562800

40455514112 has 192 divisors, whose sum is σ = 90975830400. Its totient is φ = 17856921600.

The previous prime is 40455514109. The next prime is 40455514117. The reversal of 40455514112 is 21141555404.

It is a happy number.

It is a super-2 number, since 2×404555141122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40455514117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116586323 + ... + 116586669.

It is an arithmetic number, because the mean of its divisors is an integer number (473832450).

Almost surely, 240455514112 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 40455514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45487915200).

40455514112 is an abundant number, since it is smaller than the sum of its proper divisors (50520316288).

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

40455514112 is a wasteful number, since it uses less digits than its factorization.

40455514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 40455514112 in words is "forty billion, four hundred fifty-five million, five hundred fourteen thousand, one hundred twelve".