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14414004442110 = 23571323392257313
BaseRepresentation
bin1101000111000000010110…
…0111010101001111111110
31220000222001202022200202110
43101300011213111033332
53342124340114121420
650353411403034450
73015243316140630
oct321600547251776
956028052280673
1014414004442110
114657a4380a689
121749644b0ba26
13807308a98010
1437b8da542a50
1519ee1c005ee0
hexd1c059d53fe

14414004442110 has 128 divisors (see below), whose sum is σ = 42594973424640. Its totient is φ = 3039894982656.

The previous prime is 14414004442093. The next prime is 14414004442151. The reversal of 14414004442110 is 1124440041441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5256814 + ... + 7514126.

It is an arithmetic number, because the mean of its divisors is an integer number (332773229880).

Almost surely, 214414004442110 is an apocalyptic number.

14414004442110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414004442110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297486712320).

14414004442110 is an abundant number, since it is smaller than the sum of its proper divisors (28180968982530).

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

14414004442110 is a wasteful number, since it uses less digits than its factorization.

14414004442110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259682.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 14414004442110 its reverse (1124440041441), we get a palindrome (15538444483551).

The spelling of 14414004442110 in words is "fourteen trillion, four hundred fourteen billion, four million, four hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2339 2730 4678 7017 11695 14034 16373 23390 30407 32746 35085 49119 60814 70170 81865 91221 98238 152035 163730 182442 212849 245595 304070 425698 456105 491190 638547 912210 1064245 1277094 2128490 2257313 3192735 4514626 6385470 6771939 11286565 13543878 15801191 22573130 29345069 31602382 33859695 47403573 58690138 67719390 79005955 88035207 94807146 146725345 158011910 176070414 205415483 237017865 293450690 410830966 440176035 474035730 616246449 880352070 1027077415 1232492898 2054154830 3081232245 5279855107 6162464490 10559710214 15839565321 26399275535 31679130642 36958985749 52798551070 68638116391 73917971498 79197826605 110876957247 137276232782 158395653210 184794928745 205914349173 221753914494 343190581955 369589857490 411828698346 480466814737 554384786235 686381163910 960933629474 1029571745865 1108769572470 1441400444211 2059143491730 2402334073685 2882800888422 4804668147370 7207002221055 14414004442110