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426521052144 = 2432111733155377
BaseRepresentation
bin1100011010011101010…
…00101100001111110000
31111202220222121102002100
412031032220230033300
523442003342132034
6523535134220400
742546406060515
oct6151650541760
91452828542070
10426521052144
11154983018410
126a7b5054700
13312b40280c5
141690256d30c
15b164dc3099
hex634ea2c3f0

426521052144 has 120 divisors (see below), whose sum is σ = 1302941485872. Its totient is φ = 129173391360.

The previous prime is 426521052143. The next prime is 426521052161. The reversal of 426521052144 is 441250125624.

426521052144 is a `hidden beast` number, since 42 + 6 + 52 + 1 + 0 + 521 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426521052099 and 426521052108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426521052143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2667384 + ... + 2822760.

Almost surely, 2426521052144 is an apocalyptic number.

426521052144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426521052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651470742936).

426521052144 is an abundant number, since it is smaller than the sum of its proper divisors (876420433728).

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

426521052144 is a wasteful number, since it uses less digits than its factorization.

426521052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157135 (or 157126 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 426521052144 its reverse (441250125624), we get a palindrome (867771177768).

The spelling of 426521052144 in words is "four hundred twenty-six billion, five hundred twenty-one million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1733 3466 5199 6932 10398 13864 15597 19063 20796 27728 31194 38126 41592 57189 62388 76252 83184 114378 124776 152504 155377 171567 228756 249552 305008 310754 343134 457512 466131 621508 686268 915024 932262 1243016 1372536 1398393 1709147 1864524 2486032 2745072 2796786 3418294 3729048 5127441 5593572 6836588 7458096 10254882 11187144 13673176 15382323 20509764 22374288 27346352 30764646 41019528 61529292 82039056 123058584 246117168 269268341 538536682 807805023 1077073364 1615610046 2154146728 2423415069 2961951751 3231220092 4308293456 4846830138 5923903502 6462440184 8885855253 9693660276 11847807004 12924880368 17771710506 19387320552 23695614008 26657565759 35543421012 38774641104 47391228016 53315131518 71086842024 106630263036 142173684048 213260526072 426521052144