Search a number
-
+
1140313200020 = 225173353862353
BaseRepresentation
bin10000100101111111111…
…101101001010110010100
311001000100101110111212222
4100211333331221112110
5122140330134400040
62231504101201512
7145246011162641
oct20457775512624
94030311414788
101140313200020
113aa671089925
12165000700298
13836b99ca897
143d2974c2dc8
151e9dec02bb5
hex1097ff69594

1140313200020 has 24 divisors (see below), whose sum is σ = 2535519939624. Its totient is φ = 429294381056.

The previous prime is 1140313199981. The next prime is 1140313200023. The reversal of 1140313200020 is 200023130411.

It can be written as a sum of positive squares in 4 ways, for example, as 69406956304 + 1070906243716 = 263452^2 + 1034846^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140313200023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1676930837 + ... + 1676931516.

It is an arithmetic number, because the mean of its divisors is an integer number (105646664151).

Almost surely, 21140313200020 is an apocalyptic number.

1140313200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140313200020 is an abundant number, since it is smaller than the sum of its proper divisors (1395206739604).

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

1140313200020 is a wasteful number, since it uses less digits than its factorization.

1140313200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353862379 (or 3353862377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1140313200020 its reverse (200023130411), we get a palindrome (1340336330431).

The spelling of 1140313200020 in words is "one trillion, one hundred forty billion, three hundred thirteen million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3353862353 6707724706 13415449412 16769311765 33538623530 57015660001 67077247060 114031320002 228062640004 285078300005 570156600010 1140313200020