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1415312040200 = 23527076560201
BaseRepresentation
bin10100100110000111001…
…010111110000100001000
312000022011112022000211212
4110212013022332010020
5141142024340241300
63002104012512252
7204152515563452
oct24460712760410
95008145260755
101415312040200
114a6259827773
121aa36917b688
13a3603ca80a6
144c7040592d2
1526c37560935
hex149872be108

1415312040200 has 24 divisors (see below), whose sum is σ = 3290600493930. Its totient is φ = 566124816000.

The previous prime is 1415312040179. The next prime is 1415312040209. The reversal of 1415312040200 is 20402135141.

It can be written as a sum of positive squares in 3 ways, for example, as 1309024303876 + 106287736324 = 1144126^2 + 326018^2 .

It is a super-2 number, since 2×14153120402002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1415312040209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3538279901 + ... + 3538280300.

Almost surely, 21415312040200 is an apocalyptic number.

1415312040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415312040200 is an abundant number, since it is smaller than the sum of its proper divisors (1875288453730).

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

1415312040200 is a wasteful number, since it uses less digits than its factorization.

1415312040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076560217 (or 7076560208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1415312040200 its reverse (20402135141), we get a palindrome (1435714175341).

The spelling of 1415312040200 in words is "one trillion, four hundred fifteen billion, three hundred twelve million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7076560201 14153120402 28306240804 35382801005 56612481608 70765602010 141531204020 176914005025 283062408040 353828010050 707656020100 1415312040200