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14310343100400 = 2435211925285917
BaseRepresentation
bin1101000000111110001011…
…1010101100011111110000
31212200001111102012220220020
43100033202322230133300
53333430040313203100
650234025244443440
73004613433234534
oct320174272543760
955601442186806
1014310343100400
114617a89679346
121731534b49580
137ca5c887b8b9
143768a5125bc4
1519c3a163e5a0
hexd03e2eac7f0

14310343100400 has 60 divisors (see below), whose sum is σ = 45840799068792. Its totient is φ = 3816091493120.

The previous prime is 14310343100393. The next prime is 14310343100423. The reversal of 14310343100400 is 400134301341.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5962641759 + ... + 5962644158.

Almost surely, 214310343100400 is an apocalyptic number.

14310343100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14310343100400 is an abundant number, since it is smaller than the sum of its proper divisors (31530455968392).

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

14310343100400 is a wasteful number, since it uses less digits than its factorization.

14310343100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925285938 (or 11925285927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14310343100400 its reverse (400134301341), we get a palindrome (14710477401741).

The spelling of 14310343100400 in words is "fourteen trillion, three hundred ten billion, three hundred forty-three million, one hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11925285917 23850571834 35775857751 47701143668 59626429585 71551715502 95402287336 119252859170 143103431004 178879288755 190804574672 238505718340 286206862008 298132147925 357758577510 477011436680 572413724016 596264295850 715517155020 894396443775 954022873360 1192528591700 1431034310040 1788792887550 2385057183400 2862068620080 3577585775100 4770114366800 7155171550200 14310343100400