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144087241296 = 2433001817527
BaseRepresentation
bin1000011000110001000…
…1001101001001010000
3111202220200120020202110
42012030101031021100
54330042313210141
6150105345345320
713260421225455
oct2061421151120
9452820506673
10144087241296
115611a545009
1223b12638240
13107835aaa7b
146d8c3b182c
153b3497ae16
hex218c44d250

144087241296 has 20 divisors (see below), whose sum is σ = 372225373472. Its totient is φ = 48029080416.

The previous prime is 144087241267. The next prime is 144087241301. The reversal of 144087241296 is 692142780441.

It is a super-2 number, since 2×1440872412962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 3001817527 = 144087241296 / (1 + 4 + 4 + 0 + 8 + 7 + 2 + 4 + 1 + 2 + 9 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500908716 + ... + 1500908811.

Almost surely, 2144087241296 is an apocalyptic number.

144087241296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144087241296 is an abundant number, since it is smaller than the sum of its proper divisors (228138132176).

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

144087241296 is a wasteful number, since it uses less digits than its factorization.

144087241296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001817538 (or 3001817532 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 144087241296 in words is "one hundred forty-four billion, eighty-seven million, two hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 3001817527 6003635054 9005452581 12007270108 18010905162 24014540216 36021810324 48029080432 72043620648 144087241296