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1441350456 = 2337133161349
BaseRepresentation
bin101010111101001…
…0100001100111000
310201110011012010020
41111322110030320
510422441203311
6355005050440
750501163630
oct12572241470
93643135106
101441350456
1167a671a27
12342856a20
1319c7c8bc0
14d95d76c0
1586811c06
hex55e94338

1441350456 has 256 divisors, whose sum is σ = 4666368000. Its totient is φ = 360806400.

The previous prime is 1441350437. The next prime is 1441350473. The reversal of 1441350456 is 6540531441.

It is a super-2 number, since 2×14413504562 = 4154982274022815872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4129770 + ... + 4130118.

It is an arithmetic number, because the mean of its divisors is an integer number (18228000).

Almost surely, 21441350456 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 1441350456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184000).

1441350456 is an abundant number, since it is smaller than the sum of its proper divisors (3225017544).

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

1441350456 is a wasteful number, since it uses less digits than its factorization.

1441350456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1441350456 is about 37965.1215723063. The cubic root of 1441350456 is about 1129.5961320712.

Adding to 1441350456 its reverse (6540531441), we get a palindrome (7981881897).

The spelling of 1441350456 in words is "one billion, four hundred forty-one million, three hundred fifty thousand, four hundred fifty-six".