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10414234044 = 2233881109453
BaseRepresentation
bin10011011001011110…
…01001100110111100
3222212210012220102000
421230233021212330
5132312020442134
64441221102300
7516034346244
oct115457114674
928783186360
1010414234044
1144646221a5
122027857990
13c9c773886
1470b190b24
1540e433e99
hex26cbc99bc

10414234044 has 48 divisors (see below), whose sum is σ = 27030759840. Its totient is φ = 3467439360.

The previous prime is 10414234003. The next prime is 10414234049. The reversal of 10414234044 is 44043241401.

10414234044 is a `hidden beast` number, since 10 + 414 + 234 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10414233999 and 10414234017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414234049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40422 + ... + 149874.

It is an arithmetic number, because the mean of its divisors is an integer number (563140830).

Almost surely, 210414234044 is an apocalyptic number.

It is an amenable number.

10414234044 is an abundant number, since it is smaller than the sum of its proper divisors (16616525796).

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

10414234044 is a wasteful number, since it uses less digits than its factorization.

10414234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110347 (or 110339 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10414234044 its reverse (44043241401), we get a palindrome (54457475445).

The spelling of 10414234044 in words is "ten billion, four hundred fourteen million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 881 1762 2643 3524 5286 7929 10572 15858 23787 31716 47574 95148 109453 218906 328359 437812 656718 985077 1313436 1970154 2955231 3940308 5910462 11820924 96428093 192856186 289284279 385712372 578568558 867852837 1157137116 1735705674 2603558511 3471411348 5207117022 10414234044