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4443140104431 = 3729127173333149
BaseRepresentation
bin100000010100111111111…
…0010011010000011101111
3120201202112001222102220120
41000221333302122003233
51040244022331320211
613241052252220023
7636002103514260
oct100517762320357
916652461872816
104443140104431
111463363835a36
125b913a76a613
13262ca8c16592
14115098b46967
157a899da6d06
hex40a7fc9a0ef

4443140104431 has 64 divisors (see below), whose sum is σ = 7063400448000. Its totient is φ = 2430608656896.

The previous prime is 4443140104393. The next prime is 4443140104441. The reversal of 4443140104431 is 1344010413444.

It is not a de Polignac number, because 4443140104431 - 26 = 4443140104367 is a prime.

It is a super-2 number, since 2×44431401044312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4443140104392 and 4443140104401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443140104441) 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, 134018845 + ... + 134051993.

It is an arithmetic number, because the mean of its divisors is an integer number (110365632000).

Almost surely, 24443140104431 is an apocalyptic number.

4443140104431 is a deficient number, since it is larger than the sum of its proper divisors (2620260343569).

4443140104431 is a wasteful number, since it uses less digits than its factorization.

4443140104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35048.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4443140104431 its reverse (1344010413444), we get a palindrome (5787150517875).

The spelling of 4443140104431 in words is "four trillion, four hundred forty-three billion, one hundred forty million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 87 127 203 381 609 889 1733 2667 3683 5199 11049 12131 25781 33149 36393 50257 77343 99447 150771 220091 232043 351799 660273 696129 961321 1055397 1540637 2883963 4209923 4621911 6382639 6729247 12629769 19147917 20187741 29469461 44678473 57447217 88408383 122087767 134035419 172341651 366263301 402130519 854614369 1206391557 1665969293 2563843107 4997907879 7295796559 11661785051 21887389677 34985355153 51070575913 153211727739 211578100211 634734300633 1481046701477 4443140104431