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144814780 = 225114191571
BaseRepresentation
bin10001010000110…
…11001010111100
3101002111100112101
420220123022330
5244033033110
622211514444
73405622345
oct1050331274
9332440471
10144814780
1174820540
12405b8a24
1324004a26
14153390cc
15caa813a
hex8a1b2bc

144814780 has 48 divisors (see below), whose sum is σ = 332760960. Its totient is φ = 52500800.

The previous prime is 144814757. The next prime is 144814783. The reversal of 144814780 is 87418441.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144814783) 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, 91395 + ... + 92965.

It is an arithmetic number, because the mean of its divisors is an integer number (6932520).

Almost surely, 2144814780 is an apocalyptic number.

144814780 is a gapful number since it is divisible by the number (10) 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 144814780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166380480).

144814780 is an abundant number, since it is smaller than the sum of its proper divisors (187946180).

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

144814780 is a wasteful number, since it uses less digits than its factorization.

144814780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 144814780 is about 12033.9012793026. The cubic root of 144814780 is about 525.1349977858.

The spelling of 144814780 in words is "one hundred forty-four million, eight hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1571 1676 2095 3142 4190 4609 6284 7855 8380 9218 15710 17281 18436 23045 31420 34562 46090 69124 86405 92180 172810 345620 658249 1316498 2632996 3291245 6582490 7240739 13164980 14481478 28962956 36203695 72407390 144814780