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144194700 = 223521336973
BaseRepresentation
bin10001001100000…
…11110010001100
3101001022211221110
420212003302030
5243403212300
622150332020
73400430466
oct1046036214
9331284843
10144194700
1174437681
124035a010
1323b48710
1415217136
15c9d4550
hex8983c8c

144194700 has 72 divisors (see below), whose sum is σ = 449308048. Its totient is φ = 35493120.

The previous prime is 144194689. The next prime is 144194707. The reversal of 144194700 is 7491441.

It is a super-2 number, since 2×1441947002 = 41584223016180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144194707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14587 + ... + 22386.

Almost surely, 2144194700 is an apocalyptic number.

144194700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144194700 is an abundant number, since it is smaller than the sum of its proper divisors (305113348).

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

144194700 is a wasteful number, since it uses less digits than its factorization.

144194700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37003 (or 36996 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144194700 is about 12008.1097596583. The cubic root of 144194700 is about 524.3844031711.

It can be divided in two parts, 1441 and 94700, that added together give a triangular number (96141 = T438).

The spelling of 144194700 in words is "one hundred forty-four million, one hundred ninety-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 36973 73946 110919 147892 184865 221838 369730 443676 480649 554595 739460 924325 961298 1109190 1441947 1848650 1922596 2218380 2403245 2772975 2883894 3697300 4806490 5545950 5767788 7209735 9612980 11091900 12016225 14419470 24032450 28838940 36048675 48064900 72097350 144194700