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11400997220 = 2253715406753
BaseRepresentation
bin10101001111000110…
…10110100101100100
31002102112222200000022
422213203112211210
5141322123402340
65123150534312
7552345606644
oct124743264544
932375880008
1011400997220
114920624a58
122262207398
1310c9027b02
147a2254524
1546ad9d3b5
hex2a78d6964

11400997220 has 24 divisors (see below), whose sum is σ = 24589179384. Its totient is φ = 4437144576.

The previous prime is 11400997199. The next prime is 11400997229. The reversal of 11400997220 is 2279900411.

11400997220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2979631396 + 8421365824 = 54586^2 + 91768^2 .

It is a super-3 number, since 3×114009972203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11400997229) 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 7 ways as a sum of consecutive naturals, for example, 7702637 + ... + 7704116.

It is an arithmetic number, because the mean of its divisors is an integer number (1024549141).

Almost surely, 211400997220 is an apocalyptic number.

11400997220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400997220 is an abundant number, since it is smaller than the sum of its proper divisors (13188182164).

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

11400997220 is a wasteful number, since it uses less digits than its factorization.

11400997220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406799 (or 15406797 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 11400997220 in words is "eleven billion, four hundred million, nine hundred ninety-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 15406753 30813506 61627012 77033765 154067530 308135060 570049861 1140099722 2280199444 2850249305 5700498610 11400997220