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4320434444431 = 721953617971801
BaseRepresentation
bin111110110111101101111…
…101011101100010001111
3120022000210111122001122111
4332313231331131202033
51031241222204210211
613104440304124451
7624066251563300
oct76675575354217
916260714561574
104320434444431
111416316679476
125993b4906727
13254552313481
1410d1783367a7
15775b75ee421
hex3ededf5d88f

4320434444431 has 96 divisors (see below), whose sum is σ = 5488428093120. Its totient is φ = 3379574016000.

The previous prime is 4320434444423. The next prime is 4320434444471. The reversal of 4320434444431 is 1344444340234.

It is not a de Polignac number, because 4320434444431 - 23 = 4320434444423 is a prime.

It is a super-2 number, since 2×43204344444312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320434444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2398907731 + ... + 2398909531.

It is an arithmetic number, because the mean of its divisors is an integer number (57171125970).

Almost surely, 24320434444431 is an apocalyptic number.

4320434444431 is a deficient number, since it is larger than the sum of its proper divisors (1167993648689).

4320434444431 is a wasteful number, since it uses less digits than its factorization.

4320434444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 4320434444431 its reverse (1344444340234), we get a palindrome (5664878784665).

The spelling of 4320434444431 in words is "four trillion, three hundred twenty billion, four hundred thirty-four million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 19 49 53 61 133 371 427 797 931 1007 1159 1801 2597 2989 3233 5579 7049 8113 12607 15143 22631 34219 39053 42241 48617 49343 56791 61427 88249 95453 106001 109861 158417 239533 295687 340319 429989 668171 742007 769027 802579 923723 1435397 1676731 1813607 2069809 2087359 2382233 2576701 3009923 4677197 5383189 5618053 5822633 6466061 10047779 12695249 14611513 18036907 27272543 39326371 40758431 45262427 48957319 70334453 76076041 87559217 88866743 102280591 110630027 126258349 190907801 285309017 342701233 532532287 612914519 774410189 1336354607 1445444779 1663625123 2398908631 3727726009 4290401633 4640638501 5420871323 10118113453 11645375861 32484469507 70826794171 81517631027 88172131519 227391286549 617204920633 4320434444431