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20040044100030 = 23254322323221103
BaseRepresentation
bin1001000111001111011111…
…01101011011100110111110
32121221210212010111120000200
410203213233231123212332
510111314002242200110
6110342134050104330
74135562655165123
oct443475755334676
977853763446020
1020040044100030
116426a314a7089
1222b7a8a27b0a6
13b249ca537096
144d3d2c62874a
1524b44a67e6c0
hex1239efb5b9be

20040044100030 has 96 divisors (see below), whose sum is σ = 53554925039616. Its totient is φ = 5196325321152.

The previous prime is 20040044099969. The next prime is 20040044100047. The reversal of 20040044100030 is 3000144004002.

It is a super-2 number, since 2×200400441000302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20040044099976 and 20040044100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10747542 + ... + 12473561.

It is an arithmetic number, because the mean of its divisors is an integer number (557863802496).

Almost surely, 220040044100030 is an apocalyptic number.

20040044100030 is an abundant number, since it is smaller than the sum of its proper divisors (33514880939586).

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

20040044100030 is a wasteful number, since it uses less digits than its factorization.

20040044100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221382 (or 23221379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20040044100030 its reverse (3000144004002), we get a palindrome (23040188104032).

The spelling of 20040044100030 in words is "twenty trillion, forty billion, forty-four million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 223 258 387 430 446 645 669 774 1115 1290 1338 1935 2007 2230 3345 3870 4014 6690 9589 10035 19178 20070 28767 47945 57534 86301 95890 143835 172602 287670 431505 863010 23221103 46442206 69663309 116105515 139326618 208989927 232211030 348316545 417979854 696633090 998507429 1044949635 1997014858 2089899270 2995522287 4992537145 5178305969 5991044574 8986566861 9985074290 10356611938 14977611435 15534917907 17973133722 25891529845 29955222870 31069835814 44932834305 46604753721 51783059690 77674589535 89865668610 93209507442 155349179070 222667156667 233023768605 445334313334 466047537210 668001470001 1113335783335 1336002940002 2004004410003 2226671566670 3340007350005 4008008820006 6680014700010 10020022050015 20040044100030