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40000000400 = 2452175882353
BaseRepresentation
bin100101010000001011…
…111001000110010000
310211020200001120001022
4211100023321012100
51123410000003100
630213054455012
72614144251653
oct452013710620
9124220046038
1040000000400
1115a66a59378
127903b04468
133a060827b9
141d165ab89a
1510919d6e85
hex9502f9190

40000000400 has 60 divisors (see below), whose sum is σ = 101752959492. Its totient is φ = 15058821120.

The previous prime is 40000000399. The next prime is 40000000421. The reversal of 40000000400 is 400000004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 936849664 + 39063150736 = 30608^2 + 197644^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2934377 + ... + 2947976.

Almost surely, 240000000400 is an apocalyptic number.

40000000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40000000400 is an abundant number, since it is smaller than the sum of its proper divisors (61752959092).

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

40000000400 is a wasteful number, since it uses less digits than its factorization.

40000000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882388 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 40000000400 its reverse (400000004), we get a palindrome (40400000404).

40000000400 divided by its reverse (400000004) gives a square (100 = 102).

The spelling of 40000000400 in words is "forty billion, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 5882353 11764706 23529412 29411765 47058824 58823530 94117648 100000001 117647060 147058825 200000002 235294120 294117650 400000004 470588240 500000005 588235300 800000008 1000000010 1176470600 1600000016 2000000020 2352941200 2500000025 4000000040 5000000050 8000000080 10000000100 20000000200 40000000400