Search a number
-
+
14312432412000 = 253253397567567
BaseRepresentation
bin1101000001000101111101…
…1100110010010101100000
31212200020220000121221121100
43100101133130302111200
53333443330144141000
650235012441554400
73005016263134152
oct320213734622540
955606800557540
1014312432412000
114618960a77048
121731a187a5a00
137ca86c696758
14376a227ccad2
1519c474c94a00
hexd045f732560

14312432412000 has 144 divisors (see below), whose sum is σ = 50794822757952. Its totient is φ = 3816648633600.

The previous prime is 14312432411989. The next prime is 14312432412011. The reversal of 14312432412000 is 21423421341.

14312432412000 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 243 + 2 + 412 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14312432411989) and next prime (14312432412011).

It is a tau number, because it is divible by the number of its divisors (144).

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, 198747784 + ... + 198819783.

It is an arithmetic number, because the mean of its divisors is an integer number (352741824708).

Almost surely, 214312432412000 is an apocalyptic number.

14312432412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312432412000 is an abundant number, since it is smaller than the sum of its proper divisors (36482390345952).

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

14312432412000 is a wasteful number, since it uses less digits than its factorization.

14312432412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397567598 (or 397567577 counting only the distinct ones).

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

Adding to 14312432412000 its reverse (21423421341), we get a palindrome (14333855833341).

The spelling of 14312432412000 in words is "fourteen trillion, three hundred twelve billion, four hundred thirty-two million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 397567567 795135134 1192702701 1590270268 1987837835 2385405402 3180540536 3578108103 3975675670 4770810804 5963513505 6361081072 7156216206 7951351340 9541621608 9939189175 11927027010 12722162144 14312432412 15902702680 17890540515 19083243216 19878378350 23854054020 28624864824 29817567525 31805405360 35781081030 38166486432 39756756700 47708108040 49695945875 57249729648 59635135050 63610810720 71562162060 79513513400 89452702575 95416216080 99391891750 114499459296 119270270100 143124324120 149087837625 159027026800 178905405150 190832432160 198783783500 238540540200 286248648240 298175675250 318054053600 357810810300 397567567000 447263512875 477081080400 572497296480 596351350500 715621620600 795135134000 894527025750 954162160800 1192702701000 1431243241200 1590270268000 1789054051500 2385405402000 2862486482400 3578108103000 4770810804000 7156216206000 14312432412000