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144062215120 = 2451800777689
BaseRepresentation
bin1000011000101011000…
…1101111001111010000
3111202211221110210022001
42012022301233033100
54330014411340440
6150103053123344
713256665424035
oct2061261571720
9452757423261
10144062215120
115610740151a
1223b06189554
131077b357995
146d88d3938c
153b32685b9a
hex218ac6f3d0

144062215120 has 20 divisors (see below), whose sum is σ = 334944650340. Its totient is φ = 57624886016.

The previous prime is 144062215117. The next prime is 144062215127. The reversal of 144062215120 is 21512260441.

It can be written as a sum of positive squares in 2 ways, for example, as 81574214544 + 62488000576 = 285612^2 + 249976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1440622151202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144062215127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 900388765 + ... + 900388924.

It is an arithmetic number, because the mean of its divisors is an integer number (16747232517).

Almost surely, 2144062215120 is an apocalyptic number.

144062215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144062215120 is an abundant number, since it is smaller than the sum of its proper divisors (190882435220).

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

144062215120 is a wasteful number, since it uses less digits than its factorization.

144062215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800777702 (or 1800777696 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 144062215120 its reverse (21512260441), we get a palindrome (165574475561).

The spelling of 144062215120 in words is "one hundred forty-four billion, sixty-two million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1800777689 3601555378 7203110756 9003888445 14406221512 18007776890 28812443024 36015553780 72031107560 144062215120