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144415211344 = 24172158924593
BaseRepresentation
bin1000011001111111010…
…0010011111101010000
3111210202112200212002021
42012133310103331100
54331230243230334
6150202103101224
713301513020405
oct2063764237520
9453675625067
10144415211344
1156278692838
1223ba4441814
131080651c8a1
146dbdb862ac
153b536623b4
hex219fd13f50

144415211344 has 40 divisors (see below), whose sum is σ = 296289328680. Its totient is φ = 67954188288.

The previous prime is 144415211329. The next prime is 144415211351. The reversal of 144415211344 is 443112514441.

It can be written as a sum of positive squares in 4 ways, for example, as 12056040000 + 132359171344 = 109800^2 + 363812^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5859912 + ... + 5884504.

It is an arithmetic number, because the mean of its divisors is an integer number (7407233217).

Almost surely, 2144415211344 is an apocalyptic number.

It is an amenable number.

144415211344 is an abundant number, since it is smaller than the sum of its proper divisors (151874117336).

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

144415211344 is a wasteful number, since it uses less digits than its factorization.

144415211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46207 (or 46201 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

Adding to 144415211344 its reverse (443112514441), we get a palindrome (587527725785).

The spelling of 144415211344 in words is "one hundred forty-four billion, four hundred fifteen million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 21589 24593 43178 49186 86356 98372 172712 196744 345424 367013 393488 418081 734026 836162 1468052 1672324 2936104 3344648 5872208 6689296 530938277 1061876554 2123753108 4247506216 8495012432 9025950709 18051901418 36103802836 72207605672 144415211344