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240231413007 = 3317949706479
BaseRepresentation
bin1101111110111011101…
…0000111010100001111
3211222002010210012222000
43133232322013110033
512413443220204012
6302205532523343
723233105214205
oct3375672072417
9758063705860
10240231413007
1192977408263
123a685020553
1319866306bc1
14b8ad2cb075
1563b041cddc
hex37eee8750f

240231413007 has 16 divisors (see below), whose sum is σ = 357886656000. Its totient is φ = 159259555512.

The previous prime is 240231412987. The next prime is 240231413027. The reversal of 240231413007 is 700314132042.

It is a happy number.

240231413007 is a `hidden beast` number, since 2 + 40 + 2 + 314 + 1 + 300 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (240231412987) and next prime (240231413027).

It is not a de Polignac number, because 240231413007 - 219 = 240230888719 is a prime.

It is a super-2 number, since 2×2402314130072 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240231413027) 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, 24848407 + ... + 24858072.

It is an arithmetic number, because the mean of its divisors is an integer number (22367916000).

Almost surely, 2240231413007 is an apocalyptic number.

240231413007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

240231413007 is a deficient number, since it is larger than the sum of its proper divisors (117655242993).

240231413007 is a wasteful number, since it uses less digits than its factorization.

240231413007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49706667 (or 49706661 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 240231413007 its reverse (700314132042), we get a palindrome (940545545049).

The spelling of 240231413007 in words is "two hundred forty billion, two hundred thirty-one million, four hundred thirteen thousand, seven".

Divisors: 1 3 9 27 179 537 1611 4833 49706479 149119437 447358311 1342074933 8897459741 26692379223 80077137669 240231413007