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540222432426 = 2354359438143
BaseRepresentation
bin1111101110001111100…
…01000010010010101010
31220122102000210222200000
413313013301002102222
532322333420314201
61052101425323430
754013133624235
oct7670761022252
91818360728600
10540222432426
1119911a530296
1288847496576
133bc3430cc51
141c20b17241c
15e0bbe05d86
hex7dc7c424aa

540222432426 has 96 divisors (see below), whose sum is σ = 1263116574720. Its totient is φ = 172904853744.

The previous prime is 540222432361. The next prime is 540222432439. The reversal of 540222432426 is 624234222045.

540222432426 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 224 + 3 + 2 + 426 = 666.

540222432426 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013911 + ... + 1452053.

It is an arithmetic number, because the mean of its divisors is an integer number (13157464320).

Almost surely, 2540222432426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540222432426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631558287360).

540222432426 is an abundant number, since it is smaller than the sum of its proper divisors (722894142294).

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

540222432426 is a wasteful number, since it uses less digits than its factorization.

540222432426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438262 (or 438250 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 540222432426 in words is "five hundred forty billion, two hundred twenty-two million, four hundred thirty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 59 81 86 118 129 162 177 243 258 354 387 486 531 774 1062 1161 1593 2322 2537 3186 3483 4779 5074 6966 7611 9558 10449 14337 15222 20898 22833 28674 45666 68499 136998 205497 410994 438143 616491 876286 1232982 1314429 2628858 3943287 7886574 11829861 18840149 23659722 25850437 35489583 37680298 51700874 56520447 70979166 77551311 106468749 113040894 155102622 169561341 212937498 232653933 339122682 465307866 508684023 697961799 1017368046 1111568791 1395923598 1526052069 2093885397 2223137582 3052104138 3334706373 4187770794 4578156207 6281656191 6669412746 9156312414 10004119119 12563312382 20008238238 30012357357 60024714714 90037072071 180074144142 270111216213 540222432426