Search a number
-
+
144285771020 = 225211277123433
BaseRepresentation
bin1000011001100000011…
…0100010010100001100
3111210102112010121100012
42012120012202110030
54330444124133040
6150141200452352
713265351550356
oct2063006422414
9453375117305
10144285771020
1156211613366
1223b6901a0b8
13107b576ba91
146daa8d00d6
153b470e4865
hex21981a250c

144285771020 has 48 divisors (see below), whose sum is σ = 305537661408. Its totient is φ = 57232949760.

The previous prime is 144285771013. The next prime is 144285771023. The reversal of 144285771020 is 20177582441.

It is not an unprimeable number, because it can be changed into a prime (144285771023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1107224 + ... + 1230656.

It is an arithmetic number, because the mean of its divisors is an integer number (6365367946).

Almost surely, 2144285771020 is an apocalyptic number.

144285771020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144285771020 is an abundant number, since it is smaller than the sum of its proper divisors (161251890388).

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

144285771020 is a wasteful number, since it uses less digits than its factorization.

144285771020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123930 (or 123928 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The spelling of 144285771020 in words is "one hundred forty-four billion, two hundred eighty-five million, seven hundred seventy-one thousand, twenty".

Divisors: 1 2 4 5 10 20 211 277 422 554 844 1055 1108 1385 2110 2770 4220 5540 58447 116894 123433 233788 246866 292235 493732 584470 617165 1168940 1234330 2468660 26044363 34190941 52088726 68381882 104177452 130221815 136763764 170954705 260443630 341909410 520887260 683818820 7214288551 14428577102 28857154204 36071442755 72142885510 144285771020