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145241751552 = 214331199479
BaseRepresentation
bin1000011101000100010…
…1010100000000000000
3111212220010222110002120
42013101011110000000
54334423342022202
6150420110444240
713331140342542
oct2072105240000
9455803873076
10145241751552
1156662200717
1224195203680
1310908835a31
14705b85d692
153ba0ecd0bc
hex21d1154000

145241751552 has 240 divisors, whose sum is σ = 402640896000. Its totient is φ = 46519418880.

The previous prime is 145241751539. The next prime is 145241751587. The reversal of 145241751552 is 255157142541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303218449 + ... + 303218927.

It is an arithmetic number, because the mean of its divisors is an integer number (1677670400).

Almost surely, 2145241751552 is an apocalyptic number.

145241751552 is a gapful number since it is divisible by the number (12) 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 145241751552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201320448000).

145241751552 is an abundant number, since it is smaller than the sum of its proper divisors (257399144448).

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

145241751552 is an equidigital number, since it uses as much as digits as its factorization.

145241751552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 714 counting only the distinct ones).

The product of its digits is 280000, while the sum is 42.

The spelling of 145241751552 in words is "one hundred forty-five billion, two hundred forty-one million, seven hundred fifty-one thousand, five hundred fifty-two".