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20013034144104 = 23323123937516373
BaseRepresentation
bin1001000110011101001011…
…10010101000000101101000
32121212020010202111122000200
410203032211302220011220
510110343143220102404
6110321505545032200
74133615433305001
oct443164562500550
977766122448020
1020013034144104
116416531043461
1222b27b0785660
13b222b477ba41
144d28c93541a8
1524a8b92ce839
hex1233a5ca8168

20013034144104 has 96 divisors (see below), whose sum is σ = 56184521702400. Its totient is φ = 6428805505920.

The previous prime is 20013034144099. The next prime is 20013034144121. The reversal of 20013034144104 is 40144143031002.

20013034144104 is a `hidden beast` number, since 200 + 1 + 3 + 0 + 3 + 41 + 4 + 410 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 18224739 + ... + 19291634.

It is an arithmetic number, because the mean of its divisors is an integer number (585255434400).

Almost surely, 220013034144104 is an apocalyptic number.

20013034144104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20013034144104 is an abundant number, since it is smaller than the sum of its proper divisors (36171487558296).

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

20013034144104 is a wasteful number, since it uses less digits than its factorization.

20013034144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37516655 (or 37516648 counting only the distinct ones).

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

Adding to 20013034144104 its reverse (40144143031002), we get a palindrome (60157177175106).

The spelling of 20013034144104 in words is "twenty trillion, thirteen billion, thirty-four million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 239 248 279 372 478 558 717 744 956 1116 1434 1912 2151 2232 2868 4302 5736 7409 8604 14818 17208 22227 29636 44454 59272 66681 88908 133362 177816 266724 533448 37516373 75032746 112549119 150065492 225098238 300130984 337647357 450196476 675294714 900392952 1163007563 1350589428 2326015126 2701178856 3489022689 4652030252 6978045378 8966413147 9304060504 10467068067 13956090756 17932826294 20934136134 26899239441 27912181512 35865652588 41868272268 53798478882 71731305176 80697718323 83736544536 107596957764 161395436646 215193915528 277958807557 322790873292 555917615114 645581746584 833876422671 1111835230228 1667752845342 2223670460456 2501629268013 3335505690684 5003258536026 6671011381368 10006517072052 20013034144104