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40144330401 = 3722691015207
BaseRepresentation
bin100101011000110010…
…011101111010100001
310211121201122021120220
4211120302131322201
51124203422033101
630235252153253
72620546115100
oct453062357241
9124551567526
1040144330401
111603047866a
127944308829
133a29c47976
141d2b81c037
15109e4e6636
hex958c9dea1

40144330401 has 24 divisors (see below), whose sum is σ = 62496204480. Its totient is φ = 22854317472.

The previous prime is 40144330363. The next prime is 40144330409. The reversal of 40144330401 is 10403344104.

40144330401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40144330401 - 218 = 40144068257 is a prime.

It is a super-2 number, since 2×401443304012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40144330409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468061 + ... + 547146.

It is an arithmetic number, because the mean of its divisors is an integer number (2604008520).

Almost surely, 240144330401 is an apocalyptic number.

It is an amenable number.

40144330401 is a deficient number, since it is larger than the sum of its proper divisors (22351874079).

40144330401 is a wasteful number, since it uses less digits than its factorization.

40144330401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015493 (or 1015486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40144330401 its reverse (10403344104), we get a palindrome (50547674505).

The spelling of 40144330401 in words is "forty billion, one hundred forty-four million, three hundred thirty thousand, four hundred one".

Divisors: 1 3 7 21 49 147 269 807 1883 5649 13181 39543 1015207 3045621 7106449 21319347 49745143 149235429 273090683 819272049 1911634781 5734904343 13381443467 40144330401