Search a number
-
+
216403540412040 = 23325601120945589
BaseRepresentation
bin110001001101000101100000…
…001001111000011010001000
31001101012222100210212210120200
4301031011200021320122020
5211331023422321141130
62044130225233052200
763403432316256312
oct6115054011703210
91041188323783520
10216403540412040
1162a53253a30083
12203305579b7060
1393999c6731097
143b61db6dc27b2
151a042455a4760
hexc4d160278688

216403540412040 has 48 divisors (see below), whose sum is σ = 703311506340300. Its totient is φ = 57707610776448.

The previous prime is 216403540411991. The next prime is 216403540412051. The reversal of 216403540412040 is 40214045304612.

216403540412040 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 3 + 5 + 404 + 1 + 204 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204737121415044 + 11666418996996 = 14308638^2 + 3415614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216403540411986 and 216403540412004.

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, 300560472435 + ... + 300560473154.

Almost surely, 2216403540412040 is an apocalyptic number.

216403540412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216403540412040 is an abundant number, since it is smaller than the sum of its proper divisors (486907965928260).

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

216403540412040 is a wasteful number, since it uses less digits than its factorization.

216403540412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601120945606 (or 601120945599 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 216403540412040 its reverse (40214045304612), we get a palindrome (256617585716652).

The spelling of 216403540412040 in words is "two hundred sixteen trillion, four hundred three billion, five hundred forty million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 601120945589 1202241891178 1803362836767 2404483782356 3005604727945 3606725673534 4808967564712 5410088510301 6011209455890 7213451347068 9016814183835 10820177020602 12022418911780 14426902694136 18033628367670 21640354041204 24044837823560 27050442551505 36067256735340 43280708082408 54100885103010 72134513470680 108201770206020 216403540412040