Search a number
-
+
400411240400 = 24524312322571
BaseRepresentation
bin1011101001110100101…
…11101010011111010000
31102021112100101112202202
411310322113222133100
523030020234143100
6503540230302332
740633364246423
oct5647227523720
91367470345682
10400411240400
111448a47853a6
1265728ab79a8
132b9b28b6c62
1415546a519ba
15a637a7c7d5
hex5d3a5ea7d0

400411240400 has 60 divisors (see below), whose sum is σ = 964220410944. Its totient is φ = 159792816000.

The previous prime is 400411240399. The next prime is 400411240403. The reversal of 400411240400 is 4042114004.

It is a happy number.

It is a super-2 number, since 2×4004112404002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400411240403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988886 + ... + 1333685.

Almost surely, 2400411240400 is an apocalyptic number.

400411240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400411240400 is an abundant number, since it is smaller than the sum of its proper divisors (563809170544).

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

400411240400 is a wasteful number, since it uses less digits than its factorization.

400411240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323020 (or 2323009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 400411240400 its reverse (4042114004), we get a palindrome (404453354404).

The spelling of 400411240400 in words is "four hundred billion, four hundred eleven million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 431 862 1724 2155 3448 4310 6896 8620 10775 17240 21550 34480 43100 86200 172400 2322571 4645142 9290284 11612855 18580568 23225710 37161136 46451420 58064275 92902840 116128550 185805680 232257100 464514200 929028400 1001028101 2002056202 4004112404 5005140505 8008224808 10010281010 16016449616 20020562020 25025702525 40041124040 50051405050 80082248080 100102810100 200205620200 400411240400