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400144334204431 = 13272335991290847
BaseRepresentation
bin101101011111011011101110…
…0111001100010111000001111
31221110210102110122112101122001
41122332313130321202320033
5404421431044024020211
63535011434105533131
7150166321424264215
oct13276673471427017
91843712418471561
10400144334204431
11106553293a0a773
1238a6679baa41a7
13142375ab046b4b
1470b5136744cb5
15313da145ddac1
hex16beddce62e0f

400144334204431 has 8 divisors (see below), whose sum is σ = 400447899238400. Its totient is φ = 399840772222008.

The previous prime is 400144334204401. The next prime is 400144334204467. The reversal of 400144334204431 is 134402433441004.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400144334204431 - 211 = 400144334202383 is a prime.

It is a super-2 number, since 2×4001443342044312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400144334204401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309340450 + ... + 310631296.

It is an arithmetic number, because the mean of its divisors is an integer number (50055987404800).

Almost surely, 2400144334204431 is an apocalyptic number.

400144334204431 is a deficient number, since it is larger than the sum of its proper divisors (303565033969).

400144334204431 is a wasteful number, since it uses less digits than its factorization.

400144334204431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525773.

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 400144334204431 its reverse (134402433441004), we get a palindrome (534546767645435).

The spelling of 400144334204431 in words is "four hundred trillion, one hundred forty-four billion, three hundred thirty-four million, two hundred four thousand, four hundred thirty-one".

Divisors: 1 1327 233599 1290847 309985873 1712953969 301540568353 400144334204431