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541221366420 = 2232571009942533
BaseRepresentation
bin1111110000000110100…
…11101010101010010100
31220201222122111002111100
413320003103222222110
532331410132211140
61052344512110100
754046653465240
oct7700323525224
91821878432440
10541221366420
11199592396179
1288a85b35330
133c063265b57
141c2a3ac3420
15e129976530
hex7e034eaa94

541221366420 has 144 divisors (see below), whose sum is σ = 1876463971200. Its totient is φ = 123692583168.

The previous prime is 541221366401. The next prime is 541221366421. The reversal of 541221366420 is 24663122145.

541221366420 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 2 + 1 + 3 + 6 + 642 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541221366421) 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 47 ways as a sum of consecutive naturals, for example, 12703474 + ... + 12746006.

It is an arithmetic number, because the mean of its divisors is an integer number (13030999800).

Almost surely, 2541221366420 is an apocalyptic number.

It is an amenable number.

541221366420 is an abundant number, since it is smaller than the sum of its proper divisors (1335242604780).

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

541221366420 is a wasteful number, since it uses less digits than its factorization.

541221366420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52654 (or 52649 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 541221366420 its reverse (24663122145), we get a palindrome (565884488565).

The spelling of 541221366420 in words is "five hundred forty-one billion, two hundred twenty-one million, three hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10099 20198 30297 40396 42533 50495 60594 70693 85066 90891 100990 121188 127599 141386 151485 170132 181782 201980 212079 212665 255198 282772 297731 302970 353465 363564 382797 424158 425330 454455 510396 595462 605940 636237 637995 706930 765594 848316 850660 893193 908910 1060395 1190924 1272474 1275990 1413860 1488655 1531188 1786386 1817820 1913985 2120790 2544948 2551980 2679579 2977310 3181185 3572772 3827970 4241580 4465965 5359158 5954620 6362370 7655940 8931930 10718316 12724740 13397895 17863860 26795790 53591580 429540767 859081534 1288622301 1718163068 2147703835 2577244602 3006785369 3865866903 4295407670 5154489204 6013570738 6443111505 7731733806 8590815340 9020356107 12027141476 12886223010 15033926845 15463467612 18040712214 19329334515 25772446020 27061068321 30067853690 36081424428 38658669030 45101780535 54122136642 60135707380 77317338060 90203561070 108244273284 135305341605 180407122140 270610683210 541221366420