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431213403214143 = 34115235991544849
BaseRepresentation
bin110001000001011111011000…
…1101110001001000100111111
32002112210121011111011210220000
41202002332301232021010333
5423010000022210323033
64125040411440125343
7156554066055431634
oct14202766156110477
92075717144153800
10431213403214143
11115441639449a20
1240444068306853
131567c332041c34
14786aba924818b
1534cbcb4640a13
hex1882fb1b8913f

431213403214143 has 80 divisors (see below), whose sum is σ = 705237619680000. Its totient is φ = 260406129035520.

The previous prime is 431213403214133. The next prime is 431213403214201. The reversal of 431213403214143 is 341412304312134.

431213403214143 is a `hidden beast` number, since 4 + 3 + 1 + 21 + 3 + 403 + 214 + 14 + 3 = 666.

It is not a de Polignac number, because 431213403214143 - 225 = 431213369659711 is a prime.

It is a super-2 number, since 2×4312134032141432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431213403214098 and 431213403214107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431213403214133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 278357383 + ... + 279902231.

It is an arithmetic number, because the mean of its divisors is an integer number (8815470246000).

Almost surely, 2431213403214143 is an apocalyptic number.

431213403214143 is a deficient number, since it is larger than the sum of its proper divisors (274024216465857).

431213403214143 is a wasteful number, since it uses less digits than its factorization.

431213403214143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545994 (or 1545985 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 431213403214143 its reverse (341412304312134), we get a palindrome (772625707526277).

The spelling of 431213403214143 in words is "four hundred thirty-one trillion, two hundred thirteen billion, four hundred three million, two hundred fourteen thousand, one hundred forty-three".

Divisors: 1 3 9 11 27 33 81 99 297 523 599 891 1569 1797 4707 5391 5753 6589 14121 16173 17259 19767 42363 48519 51777 59301 155331 177903 313277 465993 533709 939831 1544849 2819493 3446047 4634547 8458479 10338141 13903641 16993339 25375437 31014423 41710923 50980017 93043269 125132769 152940051 279129807 458820153 807956027 925364551 1376460459 2423868081 2776093653 7271604243 8328280959 8887516297 10179010061 21814812729 24984842877 26662548891 30537030183 65444438187 74954528631 79987646673 91611090549 239962940019 274833271647 483965660173 719888820057 824499814941 1451896980519 4355690941557 5323622261903 13067072824671 15970866785709 39201218474013 47912600357127 143737801071381 431213403214143