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20144104133220 = 2234516376286087
BaseRepresentation
bin1001001010010001010100…
…01010111101001001100100
32122022202110020210221210000
410211020222022331021210
510120020111124230340
6110502023525501300
74146235451653104
oct445105212751144
978282406727700
1020144104133220
11646708069a211
12231408b871830
13b31772227312
144d8da0989204
1524dedb04bd30
hex12522a2bd264

20144104133220 has 120 divisors (see below), whose sum is σ = 63580487471424. Its totient is φ = 5338805442624.

The previous prime is 20144104133213. The next prime is 20144104133233. The reversal of 20144104133220 is 2233140144102.

20144104133220 is a `hidden beast` number, since 2 + 0 + 14 + 4 + 10 + 413 + 3 + 220 = 666.

It is a super-2 number, since 2×201441041332202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 37878984 + ... + 38407103.

Almost surely, 220144104133220 is an apocalyptic number.

20144104133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144104133220 is an abundant number, since it is smaller than the sum of its proper divisors (43436383338204).

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

20144104133220 is a wasteful number, since it uses less digits than its factorization.

20144104133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76286271 (or 76286260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20144104133220 its reverse (2233140144102), we get a palindrome (22377244277322).

The spelling of 20144104133220 in words is "twenty trillion, one hundred forty-four billion, one hundred four million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 270 324 326 405 489 540 652 810 815 978 1467 1620 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 13203 14670 17604 22005 26406 29340 44010 52812 66015 88020 132030 264060 76286087 152572174 228858261 305144348 381430435 457716522 686574783 762860870 915433044 1144291305 1373149566 1525721740 2059724349 2288582610 2746299132 3432873915 4119448698 4577165220 6179173047 6865747830 8238897396 10298621745 12358346094 12434632181 13731495660 20597243490 24716692188 24869264362 30895865235 37303896543 41194486980 49738528724 61791730470 62173160905 74607793086 111911689629 123583460940 124346321810 149215586172 186519482715 223823379258 248692643620 335735068887 373038965430 447646758516 559558448145 671470137774 746077930860 1007205206661 1119116896290 1342940275548 1678675344435 2014410413322 2238233792580 3357350688870 4028820826644 5036026033305 6714701377740 10072052066610 20144104133220