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251145033440 = 25572323341843
BaseRepresentation
bin1110100111100101101…
…0010001011011100000
3220000020201200120201012
43221321122101123200
513103321112032230
6311212513400052
724100415363450
oct3517132213340
9800221616635
10251145033440
1197567907884
124080bb69028
131a8b5379482
14c226913d60
1567ed5e8395
hex3a796916e0

251145033440 has 192 divisors, whose sum is σ = 710627613696. Its totient is φ = 82007642112.

The previous prime is 251145033367. The next prime is 251145033467. The reversal of 251145033440 is 44330541152.

251145033440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 251145033397 and 251145033406.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5981159 + ... + 6023001.

It is an arithmetic number, because the mean of its divisors is an integer number (3701185488).

Almost surely, 2251145033440 is an apocalyptic number.

251145033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251145033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355313806848).

251145033440 is an abundant number, since it is smaller than the sum of its proper divisors (459482580256).

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

251145033440 is a wasteful number, since it uses less digits than its factorization.

251145033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42121 (or 42113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 251145033440 its reverse (44330541152), we get a palindrome (295475574592).

The spelling of 251145033440 in words is "two hundred fifty-one billion, one hundred forty-five million, thirty-three thousand, four hundred forty".