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540503443220 = 2251347139318209
BaseRepresentation
bin1111101110110001000…
…01000000011100010100
31220200010121120211000012
413313120201000130110
532323422340140340
61052145344335352
754023115314546
oct7673041003424
91820117524005
10540503443220
11199254114914
1288905614558
133bc7a5bc720
141c236601696
15e0d6913565
hex7dd8840714

540503443220 has 96 divisors (see below), whose sum is σ = 1257362265600. Its totient is φ = 193918500864.

The previous prime is 540503443219. The next prime is 540503443229. The reversal of 540503443220 is 22344305045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540503443229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539476 + ... + 1857684.

It is an arithmetic number, because the mean of its divisors is an integer number (13097523600).

Almost surely, 2540503443220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540503443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628681132800).

540503443220 is an abundant number, since it is smaller than the sum of its proper divisors (716858822380).

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

540503443220 is a wasteful number, since it uses less digits than its factorization.

540503443220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318417 (or 318415 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 540503443220 its reverse (22344305045), we get a palindrome (562847748265).

The spelling of 540503443220 in words is "five hundred forty billion, five hundred three million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 139 188 235 260 278 470 556 611 695 940 1222 1390 1807 2444 2780 3055 3614 6110 6533 7228 9035 12220 13066 18070 26132 32665 36140 65330 84929 130660 169858 318209 339716 424645 636418 849290 1272836 1591045 1698580 3182090 4136717 6364180 8273434 14955823 16546868 20683585 29911646 41367170 44231051 59823292 74779115 82734340 88462102 149558230 176924204 194425699 221155255 299116460 388851398 442310510 575003663 777702796 884621020 972128495 1150007326 1944256990 2078859397 2300014652 2875018315 3888513980 4157718794 5750036630 8315437588 10394296985 11500073260 20788593970 27025172161 41577187940 54050344322 108100688644 135125860805 270251721610 540503443220