Search a number
-
+
10124041140 = 2232556244673
BaseRepresentation
bin10010110110111000…
…01001101110110100
3222010120011120120200
421123130021232310
5131213223304030
64352333200500
7505611633633
oct113334115664
928116146520
1010124041140
114325836a54
121b66630130
13c545ca8b5
146c081151a
153e3c10d60
hex25b709bb4

10124041140 has 36 divisors (see below), whose sum is σ = 30709592004. Its totient is φ = 2699744256.

The previous prime is 10124041129. The next prime is 10124041177. The reversal of 10124041140 is 4114042101.

10124041140 is a `hidden beast` number, since 10 + 1 + 240 + 411 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3850450704 + 6273590436 = 62052^2 + 79206^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 28122157 + ... + 28122516.

Almost surely, 210124041140 is an apocalyptic number.

10124041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124041140 is an abundant number, since it is smaller than the sum of its proper divisors (20585550864).

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

10124041140 is a wasteful number, since it uses less digits than its factorization.

10124041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56244688 (or 56244683 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10124041140 its reverse (4114042101), we get a palindrome (14238083241).

The spelling of 10124041140 in words is "ten billion, one hundred twenty-four million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56244673 112489346 168734019 224978692 281223365 337468038 506202057 562446730 674936076 843670095 1012404114 1124893460 1687340190 2024808228 2531010285 3374680380 5062020570 10124041140