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144003019536 = 24341992831973
BaseRepresentation
bin1000011000011100111…
…1111011001100010000
3111202200211002100020000
42012013033323030100
54324404233111121
6150053140250000
713255346320125
oct2060717731420
9452624070200
10144003019536
1156086a4aa52
1223aaa3a0900
131076bcccbcc
146d8112a74c
153b2c391526
hex21873fb310

144003019536 has 200 divisors, whose sum is σ = 420574123200. Its totient is φ = 47566911744.

The previous prime is 144003019513. The next prime is 144003019541. The reversal of 144003019536 is 635910300441.

144003019536 is a `hidden beast` number, since 1 + 4 + 400 + 30 + 195 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144003019536.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72985846 + ... + 72987818.

It is an arithmetic number, because the mean of its divisors is an integer number (2102870616).

Almost surely, 2144003019536 is an apocalyptic number.

144003019536 is a gapful number since it is divisible by the number (16) 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 144003019536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210287061600).

144003019536 is an abundant number, since it is smaller than the sum of its proper divisors (276571103664).

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

144003019536 is a wasteful number, since it uses less digits than its factorization.

144003019536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 144003019536 its reverse (635910300441), we get a palindrome (779913319977).

The spelling of 144003019536 in words is "one hundred forty-four billion, three million, nineteen thousand, five hundred thirty-six".