Search a number
-
+
100244444004 = 22323733745933
BaseRepresentation
bin101110101011100001…
…0001101001101100100
3100120202012121101101100
41131113002031031210
53120300034202004
6114015054200100
710146102500145
oct1352702151544
9316665541340
10100244444004
1139571414541
12175177b3030
1395b7358273
144bcd6d1acc
15291a922739
hex175708d364

100244444004 has 36 divisors (see below), whose sum is σ = 253463897596. Its totient is φ = 33405818688.

The previous prime is 100244443991. The next prime is 100244444023. The reversal of 100244444004 is 400444442001.

100244444004 is a `hidden beast` number, since 10 + 0 + 244 + 4 + 4 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54126022500 + 46118421504 = 232650^2 + 214752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 238579 + ... + 507354.

Almost surely, 2100244444004 is an apocalyptic number.

It is an amenable number.

100244444004 is an abundant number, since it is smaller than the sum of its proper divisors (153219453592).

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

100244444004 is a wasteful number, since it uses less digits than its factorization.

100244444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749676 (or 749671 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100244444004 its reverse (400444442001), we get a palindrome (500688886005).

The spelling of 100244444004 in words is "one hundred billion, two hundred forty-four million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3733 7466 11199 14932 22398 33597 44796 67194 134388 745933 1491866 2237799 2983732 4475598 6713397 8951196 13426794 26853588 2784567889 5569135778 8353703667 11138271556 16707407334 25061111001 33414814668 50122222002 100244444004