Search a number
-
+
10042104040 = 235312261241
BaseRepresentation
bin10010101101000111…
…00101100011101000
3221220211222202000021
421112203211203220
5131031234312130
64340245050224
7503565322153
oct112643454350
927824882007
1010042104040
114293562441
121b430b6974
13c4063c8c7
146b39a2c9a
153db92837a
hex2568e58e8

10042104040 has 48 divisors (see below), whose sum is σ = 23347197540. Its totient is φ = 3887251200.

The previous prime is 10042103987. The next prime is 10042104053. The reversal of 10042104040 is 4040124001.

It can be written as a sum of positive squares in 2 ways, for example, as 9803772196 + 238331844 = 99014^2 + 15438^2 .

It is a congruent number.

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, 92181 + ... + 169060.

Almost surely, 210042104040 is an apocalyptic number.

10042104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042104040 is an abundant number, since it is smaller than the sum of its proper divisors (13305093500).

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

10042104040 is a wasteful number, since it uses less digits than its factorization.

10042104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261314 (or 261279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10042104040 its reverse (4040124001), we get a palindrome (14082228041).

The spelling of 10042104040 in words is "ten billion, forty-two million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4805 7688 9610 19220 38440 261241 522482 1044964 1306205 2089928 2612410 5224820 8098471 10449640 16196942 32393884 40492355 64787768 80984710 161969420 251052601 323938840 502105202 1004210404 1255263005 2008420808 2510526010 5021052020 10042104040