Search a number
-
+
144001980 = 22325800011
BaseRepresentation
bin10001001010101…
…00101110111100
3101000222001120200
420211110232330
5243331030410
622142243500
73365665563
oct1045245674
9330861520
10144001980
1174315901
1240286590
1323aaba95
14151a6bda
15c9973c0
hex8954bbc

144001980 has 36 divisors (see below), whose sum is σ = 436806552. Its totient is φ = 38400480.

The previous prime is 144001973. The next prime is 144001981. The reversal of 144001980 is 89100441.

144001980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144001981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399826 + ... + 400185.

Almost surely, 2144001980 is an apocalyptic number.

144001980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001980 is an abundant number, since it is smaller than the sum of its proper divisors (292804572).

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

144001980 is a wasteful number, since it uses less digits than its factorization.

144001980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800026 (or 800021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 144001980 is about 12000.0824997164. The cubic root of 144001980 is about 524.1506811770.

The spelling of 144001980 in words is "one hundred forty-four million, one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 800011 1600022 2400033 3200044 4000055 4800066 7200099 8000110 9600132 12000165 14400198 16000220 24000330 28800396 36000495 48000660 72000990 144001980