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140414211213000 = 2335346804737071
BaseRepresentation
bin11111111011010010111011…
…001011100100011011001000
3200102011110121210201022221020
4133323102323023210123020
5121401021301032304000
61214345221554512440
741401410023354004
oct3773227313443310
9612143553638836
10140414211213000
114081637270327a
12138b926b295720
13604700733c8ca
142696126a27704
151137768839ba0
hex7fb4bb2e46c8

140414211213000 has 64 divisors (see below), whose sum is σ = 438092338993920. Its totient is φ = 37443789656000.

The previous prime is 140414211212983. The next prime is 140414211213007. The reversal of 140414211213000 is 312112414041.

It is a happy number.

140414211213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (140414211213007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23402365536 + ... + 23402371535.

It is an arithmetic number, because the mean of its divisors is an integer number (6845192796780).

Almost surely, 2140414211213000 is an apocalyptic number.

140414211213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414211213000 is an abundant number, since it is smaller than the sum of its proper divisors (297678127780920).

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

140414211213000 is a wasteful number, since it uses less digits than its factorization.

140414211213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46804737095 (or 46804737081 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 140414211213000 its reverse (312112414041), we get a palindrome (140726323627041).

The spelling of 140414211213000 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred eleven million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 46804737071 93609474142 140414211213 187218948284 234023685355 280828422426 374437896568 468047370710 561656844852 702071056065 936094741420 1123313689704 1170118426775 1404142112130 1872189482840 2340236853550 2808284224260 3510355280325 4680473707100 5616568448520 5850592133875 7020710560650 9360947414200 11701184267750 14041421121300 17551776401625 23402368535500 28082842242600 35103552803250 46804737071000 70207105606500 140414211213000