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20440114200 = 233252111032329
BaseRepresentation
bin10011000010010100…
…110110010000011000
31221202111200101102200
4103002110312100120
5313330132123300
613220130330200
71322345050452
oct230224662030
957674611380
1020440114200
118739a03370
123b65429960
131c09922a3c
14dbc92d2d2
157e9705200
hex4c2536418

20440114200 has 144 divisors (see below), whose sum is σ = 74885218200. Its totient is φ = 4955174400.

The previous prime is 20440114193. The next prime is 20440114207. The reversal of 20440114200 is 241104402.

20440114200 is a `hidden beast` number, since 20 + 440 + 1 + 1 + 4 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (20440114193) and next prime (20440114207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440114207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 496365 + ... + 535964.

Almost surely, 220440114200 is an apocalyptic number.

20440114200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440114200 is an abundant number, since it is smaller than the sum of its proper divisors (54445104000).

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

20440114200 is a wasteful number, since it uses less digits than its factorization.

20440114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032362 (or 1032350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20440114200 its reverse (241104402), we get a palindrome (20681218602).

The spelling of 20440114200 in words is "twenty billion, four hundred forty million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 1032329 2064658 3096987 4129316 5161645 6193974 8258632 9290961 10323290 11355619 12387948 15484935 18581922 20646580 22711238 24775896 25808225 30969870 34066857 37163844 41293160 45422476 46454805 51616450 56778095 61939740 68133714 74327688 77424675 90844952 92909610 102200571 103232900 113556190 123879480 136267428 154849350 170334285 185819220 204401142 206465800 227112380 232274025 272534856 283890475 309698700 340668570 371638440 408802284 454224760 464548050 511002855 567780950 619397400 681337140 817604568 851671425 929096100 1022005710 1135561900 1362674280 1703342850 1858192200 2044011420 2271123800 2555014275 3406685700 4088022840 5110028550 6813371400 10220057100 20440114200