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4431134322145 = 5375331310931321
BaseRepresentation
bin100000001111011010000…
…1011111110110111100001
3120200121112100222111202101
41000132310023332313201
51040044430341302040
613231345054450401
7635065432165456
oct100366413766741
916617470874671
104431134322145
111459262895013
125b6949b03a01
13261b14808bab
1411467a46182d
157a3e5d9309a
hex407b42fede1

4431134322145 has 64 divisors (see below), whose sum is σ = 5591225807424. Its totient is φ = 3367572848640.

The previous prime is 4431134322143. The next prime is 4431134322169. The reversal of 4431134322145 is 5412234311344.

It can be written as a sum of positive squares in 32 ways, for example, as 339022049536 + 4092112272609 = 582256^2 + 2022897^2 .

It is not a de Polignac number, because 4431134322145 - 21 = 4431134322143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4431134322143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3354378085 + ... + 3354379405.

It is an arithmetic number, because the mean of its divisors is an integer number (87362903241).

Almost surely, 24431134322145 is an apocalyptic number.

It is an amenable number.

4431134322145 is a deficient number, since it is larger than the sum of its proper divisors (1160091485279).

4431134322145 is a wasteful number, since it uses less digits than its factorization.

4431134322145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822.

The product of its digits is 138240, while the sum is 37.

Adding to 4431134322145 its reverse (5412234311344), we get a palindrome (9843368633489).

The spelling of 4431134322145 in words is "four trillion, four hundred thirty-one billion, one hundred thirty-four million, three hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 5 37 53 185 265 313 1093 1321 1565 1961 5465 6605 9805 11581 16589 40441 48877 57905 57929 70013 82945 202205 244385 289645 342109 350065 413473 613793 1443853 1710545 2067365 2143373 2590481 3068965 7219265 10716865 12658033 12952405 15298501 18131777 21914069 53422561 63290165 76492505 76524209 90658885 109570345 267112805 382621045 451925989 670875749 810820553 2259629945 2831395733 3354378745 4054102765 14156978665 16721261593 23952077417 83606307965 119760387085 886226864429 4431134322145