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4282231460454 = 2331743191911777
BaseRepresentation
bin111110010100001000111…
…000101001001001100110
3120011101012001222101201000
4332110020320221021212
51030130002223213304
613035121401414130
7621244454561253
oct76241070511146
916141161871630
104282231460454
1114010a2027142
12591b1279a346
13250a746479cc
1410b3926a642a
15765cd781939
hex3e508e29266

4282231460454 has 128 divisors (see below), whose sum is σ = 10111064371200. Its totient is φ = 1338755973120.

The previous prime is 4282231460449. The next prime is 4282231460483. The reversal of 4282231460454 is 4540641322824.

4282231460454 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 2 + 31 + 4 + 604 + 5 + 4 = 666.

It is a super-2 number, since 2×42822314604542 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363603814 + ... + 363615590.

It is an arithmetic number, because the mean of its divisors is an integer number (78992690400).

Almost surely, 24282231460454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282231460454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055532185600).

4282231460454 is an abundant number, since it is smaller than the sum of its proper divisors (5828832910746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4282231460454 is a wasteful number, since it uses less digits than its factorization.

4282231460454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13149 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4282231460454 in words is "four trillion, two hundred eighty-two billion, two hundred thirty-one million, four hundred sixty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 431 459 862 918 919 1293 1838 2586 2757 3879 5514 7327 7758 8271 11637 11777 14654 15623 16542 21981 23274 23554 24813 31246 35331 43962 46869 49626 65943 70662 93738 105993 131886 140607 197829 200209 211986 281214 317979 395658 396089 400418 421821 600627 635958 792178 843642 1188267 1201254 1801881 2376534 3564801 3603762 5075887 5405643 6733513 7129602 10151774 10694403 10811286 10823063 13467026 15227661 20200539 21388806 21646126 30455322 32469189 40401078 45682983 60601617 64938378 86290079 91365966 97407567 121203234 137048949 172580158 181804851 183992071 194815134 258870237 274097898 292222701 363609702 367984142 517740474 551976213 584445402 776610711 1103952426 1553221422 1655928639 2329832133 3311857278 4659664266 4664740153 4967785917 9329480306 9935571834 13994220459 27988440918 41982661377 79300582601 83965322754 125947984131 158601165202 237901747803 251895968262 475803495606 713705243409 1427410486818 2141115730227 4282231460454