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144960191999 = 7374147928499
BaseRepresentation
bin1000011100000001001…
…1001111110111111111
3111212011112011201222222
42013000103033313333
54333334302120444
6150332131555555
713321151205320
oct2070023176777
9455145151888
10144960191999
1156528281877
1224116a5bbbb
13108923c354c
1470322ca447
153b86412eee
hex21c04cfdff

144960191999 has 32 divisors (see below), whose sum is σ = 174666240000. Its totient is φ = 117694460160.

The previous prime is 144960191983. The next prime is 144960192001. The reversal of 144960191999 is 999191069441.

It is a cyclic number.

It is not a de Polignac number, because 144960191999 - 24 = 144960191983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144960191099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5072252 + ... + 5100750.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320000).

Almost surely, 2144960191999 is an apocalyptic number.

144960191999 is a deficient number, since it is larger than the sum of its proper divisors (29706048001).

144960191999 is a wasteful number, since it uses less digits than its factorization.

144960191999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29063.

The product of its (nonzero) digits is 5668704, while the sum is 62.

The spelling of 144960191999 in words is "one hundred forty-four billion, nine hundred sixty million, one hundred ninety-one thousand, nine hundred ninety-nine".

Divisors: 1 7 37 41 259 287 479 1517 3353 10619 17723 19639 28499 124061 137473 199493 726643 1054463 1168459 5086501 7381241 8179213 13651021 43232983 95557147 302630881 505087777 559691861 3535614439 3917843027 20708598857 144960191999