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10244012040 = 2332528455589
BaseRepresentation
bin10011000101001011…
…10011100000001000
3222102220220201201100
421202211303200020
5131434431341130
64412300421400
7511566444213
oct114245634010
928386821640
1010244012040
114387528959
121b9a847860
13c734144b2
146d272077a
153ee50cc60
hex262973808

10244012040 has 48 divisors (see below), whose sum is σ = 33293040300. Its totient is φ = 2731736448.

The previous prime is 10244011957. The next prime is 10244012063. The reversal of 10244012040 is 4021044201.

10244012040 is a `hidden beast` number, since 102 + 440 + 120 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9840243204 + 403768836 = 99198^2 + 20094^2 .

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

It is an unprimeable number.

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, 14227435 + ... + 14228154.

Almost surely, 210244012040 is an apocalyptic number.

10244012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244012040 is an abundant number, since it is smaller than the sum of its proper divisors (23049028260).

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

10244012040 is a wasteful number, since it uses less digits than its factorization.

10244012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28455606 (or 28455599 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10244012040 its reverse (4021044201), we get a palindrome (14265056241).

The spelling of 10244012040 in words is "ten billion, two hundred forty-four million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28455589 56911178 85366767 113822356 142277945 170733534 227644712 256100301 284555890 341467068 426833835 512200602 569111780 682934136 853667670 1024401204 1138223560 1280501505 1707335340 2048802408 2561003010 3414670680 5122006020 10244012040