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114224010040 = 2357550374131
BaseRepresentation
bin110101001100001001…
…0000001001100111000
3101220211110121220211101
41222120102001030320
53332412321310130
6124250200541144
711152402031350
oct1523022011470
9356743556741
10114224010040
11444955263a8
121a1794817b4
13aa0466132a
1457581a9b60
152e87d6b1ca
hex1a98481338

114224010040 has 64 divisors (see below), whose sum is σ = 293776220160. Its totient is φ = 39154872960.

The previous prime is 114224010031. The next prime is 114224010049. The reversal of 114224010040 is 40010422411.

It is an interprime number because it is at equal distance from previous prime (114224010031) and next prime (114224010049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224010049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503775 + ... + 1577905.

It is an arithmetic number, because the mean of its divisors is an integer number (4590253440).

Almost surely, 2114224010040 is an apocalyptic number.

114224010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114224010040 is an abundant number, since it is smaller than the sum of its proper divisors (179552210120).

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

114224010040 is a wasteful number, since it uses less digits than its factorization.

114224010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79652 (or 79648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 114224010040 its reverse (40010422411), we get a palindrome (154234432451).

The spelling of 114224010040 in words is "one hundred fourteen billion, two hundred twenty-four million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 5503 11006 22012 27515 38521 44024 55030 74131 77042 110060 148262 154084 192605 220120 296524 308168 370655 385210 518917 593048 741310 770420 1037834 1482620 1540840 2075668 2594585 2965240 4151336 5189170 10378340 20756680 407942893 815885786 1631771572 2039714465 2855600251 3263543144 4079428930 5711200502 8158857860 11422401004 14278001255 16317715720 22844802008 28556002510 57112005020 114224010040