Search a number
-
+
1914130000 = 2454191413
BaseRepresentation
bin111001000010111…
…0100111001010000
311221101202212201201
41302011310321100
512410004130000
6513534240544
765301556636
oct16205647120
94841685651
101914130000
118a2527222
12455056154
13246740203
14142305356
15b309e96a
hex72174e50

1914130000 has 50 divisors (see below), whose sum is σ = 4634324354. Its totient is φ = 765648000.

The previous prime is 1914129983. The next prime is 1914130019. The reversal of 1914130000 is 314191.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1015569424 + 898560576 = 31868^2 + 29976^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 1914130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85707 + ... + 105706.

Almost surely, 21914130000 is an apocalyptic number.

1914130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1914130000 is an abundant number, since it is smaller than the sum of its proper divisors (2720194354).

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

1914130000 is an equidigital number, since it uses as much as digits as its factorization.

1914130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191441 (or 191420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1914130000 is about 43750.7714217704. The cubic root of 1914130000 is about 1241.6250805605.

Adding to 1914130000 its reverse (314191), we get a palindrome (1914444191).

It can be divided in two parts, 19141 and 30000, that added together give a triangular number (49141 = T313).

The spelling of 1914130000 in words is "one billion, nine hundred fourteen million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 191413 382826 765652 957065 1531304 1914130 3062608 3828260 4785325 7656520 9570650 15313040 19141300 23926625 38282600 47853250 76565200 95706500 119633125 191413000 239266250 382826000 478532500 957065000 1914130000