Search a number
-
+
400144541200 = 24521000361353
BaseRepresentation
bin1011101001010100111…
…10010010011000010000
31102020211202112211020121
411310222132102120100
523023444000304300
6503453542120024
740623645323635
oct5645236223020
91366752484217
10400144541200
11144778186338
1265673720014
132b96c578691
141551d46a18c
15a61e44a81a
hex5d2a792610

400144541200 has 30 divisors (see below), whose sum is σ = 961347261194. Its totient is φ = 160057816320.

The previous prime is 400144541189. The next prime is 400144541231. The reversal of 400144541200 is 2145441004.

It can be written as a sum of positive squares in 3 ways, for example, as 62076719104 + 338067822096 = 249152^2 + 581436^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 500180277 + ... + 500181076.

Almost surely, 2400144541200 is an apocalyptic number.

400144541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400144541200 is an abundant number, since it is smaller than the sum of its proper divisors (561202719994).

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

400144541200 is a wasteful number, since it uses less digits than its factorization.

400144541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000361371 (or 1000361360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 400144541200 its reverse (2145441004), we get a palindrome (402289982204).

The spelling of 400144541200 in words is "four hundred billion, one hundred forty-four million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1000361353 2000722706 4001445412 5001806765 8002890824 10003613530 16005781648 20007227060 25009033825 40014454120 50018067650 80028908240 100036135300 200072270600 400144541200