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14240104402200 = 23352144716401871
BaseRepresentation
bin1100111100111000100001…
…0111010100110100011000
31212102100012100201100122120
43033032020113110310120
53331302213211332300
650141451425421240
72666546030164005
oct317161027246430
955370170640576
1014240104402200
1145a0215772836
12171b9b219a820
137c3ab3b4ab11
143733209368ac
1519a6400cd3a0
hexcf3885d4d18

14240104402200 has 96 divisors (see below), whose sum is σ = 44174833820160. Its totient is φ = 3794736643200.

The previous prime is 14240104402189. The next prime is 14240104402267. The reversal of 14240104402200 is 220440104241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7332736 + ... + 9069135.

It is an arithmetic number, because the mean of its divisors is an integer number (460154518960).

Almost surely, 214240104402200 is an apocalyptic number.

14240104402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240104402200 is an abundant number, since it is smaller than the sum of its proper divisors (29934729417960).

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

14240104402200 is a wasteful number, since it uses less digits than its factorization.

14240104402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403337 (or 16403328 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14240104402200 its reverse (220440104241), we get a palindrome (14460544506441).

The spelling of 14240104402200 in words is "fourteen trillion, two hundred forty billion, one hundred four million, four hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1447 2894 4341 5788 7235 8682 11576 14470 17364 21705 28940 34728 36175 43410 57880 72350 86820 108525 144700 173640 217050 289400 434100 868200 16401871 32803742 49205613 65607484 82009355 98411226 131214968 164018710 196822452 246028065 328037420 393644904 410046775 492056130 656074840 820093550 984112260 1230140325 1640187100 1968224520 2460280650 3280374200 4920561300 9841122600 23733507337 47467014674 71200522011 94934029348 118667536685 142401044022 189868058696 237335073370 284802088044 356002610055 474670146740 569604176088 593337683425 712005220110 949340293480 1186675366850 1424010440220 1780013050275 2373350733700 2848020880440 3560026100550 4746701467400 7120052201100 14240104402200