Search a number
-
+
10104411040 = 255172218521
BaseRepresentation
bin10010110100100010…
…10001001110100000
3222002012020021010221
421122101101032200
5131143212123130
64350352332424
7505253035213
oct113221211640
928065207127
1010104411040
114315749629
121b5bb44114
13c50516959
146bbd8177a
153e213487a
hex25a4513a0

10104411040 has 72 divisors (see below), whose sum is σ = 25358604012. Its totient is φ = 3803996160.

The previous prime is 10104411001. The next prime is 10104411041. The reversal of 10104411040 is 4011440101.

It can be written as a sum of positive squares in 6 ways, for example, as 3544059024 + 6560352016 = 59532^2 + 80996^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10104411041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63021 + ... + 155500.

Almost surely, 210104411040 is an apocalyptic number.

10104411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104411040 is an abundant number, since it is smaller than the sum of its proper divisors (15254192972).

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

10104411040 is a wasteful number, since it uses less digits than its factorization.

10104411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218570 (or 218545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10104411040 its reverse (4011440101), we get a palindrome (14115851141).

The spelling of 10104411040 in words is "ten billion, one hundred four million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46240 218521 437042 874084 1092605 1748168 2185210 3496336 3714857 4370420 6992672 7429714 8740840 14859428 17481680 18574285 29718856 34963360 37148570 59437712 63152569 74297140 118875424 126305138 148594280 252610276 297188560 315762845 505220552 594377120 631525690 1010441104 1263051380 2020882208 2526102760 5052205520 10104411040