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253301452144 = 24131992968993
BaseRepresentation
bin1110101111100111110…
…0010110110101110000
3220012211000101000001121
43223321330112311300
513122230132432034
6312210505112024
724205021550446
oct3537174266560
9805730330047
10253301452144
11984740800a4
1241112188614
131ab6a05c180
14c38d088b96
1568c7aa71b4
hex3af9f16d70

253301452144 has 80 divisors (see below), whose sum is σ = 556947165600. Its totient is φ = 110634467328.

The previous prime is 253301452127. The next prime is 253301452189. The reversal of 253301452144 is 441254103352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3636912 + ... + 3705904.

It is an arithmetic number, because the mean of its divisors is an integer number (6961839570).

Almost surely, 2253301452144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253301452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278473582800).

253301452144 is an abundant number, since it is smaller than the sum of its proper divisors (303645713456).

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

253301452144 is a wasteful number, since it uses less digits than its factorization.

253301452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69962 (or 69956 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 253301452144 its reverse (441254103352), we get a palindrome (694555555496).

The spelling of 253301452144 in words is "two hundred fifty-three billion, three hundred one million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 929 988 1858 1976 3716 3952 7432 12077 14864 17651 24154 35302 48308 68993 70604 96616 137986 141208 193232 229463 275972 282416 458926 551944 896909 917852 1103888 1310867 1793818 1835704 2621734 3587636 3671408 5243468 7175272 10486936 14350544 17041271 20973872 34082542 64094497 68165084 128188994 136330168 256377988 272660336 512755976 833228461 1025511952 1217795443 1666456922 2435590886 3332913844 4871181772 6665827688 9742363544 13331655376 15831340759 19484727088 31662681518 63325363036 126650726072 253301452144