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144418962046112 = 25131720421233321
BaseRepresentation
bin100000110101100100101000…
…111011100111110010100000
3200221100022120202221100201022
4200311210220323213302200
5122412130013240433422
61231053053311425012
742263632336652405
oct4065445073476240
9627308522840638
10144418962046112
114201a8130980a6
1214245442225168
13627785a4867a0
142793cb4cc82ac
1511a6a0692e342
hex835928ee7ca0

144418962046112 has 48 divisors (see below), whose sum is σ = 324207500220072. Its totient is φ = 62734028759040.

The previous prime is 144418962045989. The next prime is 144418962046157. The reversal of 144418962046112 is 211640269814441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112423693824016 + 31995268222096 = 10603004^2 + 5656436^2 .

It is a super-2 number, since 2×1444189620461122 (a number of 29 digits) contains 22 as substring.

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, 10210609589 + ... + 10210623732.

Almost surely, 2144418962046112 is an apocalyptic number.

It is an amenable number.

144418962046112 is an abundant number, since it is smaller than the sum of its proper divisors (179788538173960).

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

144418962046112 is a wasteful number, since it uses less digits than its factorization.

144418962046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20421233361 (or 20421233353 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 144418962046112 in words is "one hundred forty-four trillion, four hundred eighteen billion, nine hundred sixty-two million, forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 20421233321 40842466642 81684933284 163369866568 265476033173 326739733136 347160966457 530952066346 653479466272 694321932914 1061904132692 1388643865828 2123808265384 2777287731656 4247616530768 4513092563941 5554575463312 8495233061536 9026185127882 11109150926624 18052370255764 36104740511528 72209481023056 144418962046112