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144050200 = 23527214699
BaseRepresentation
bin10001001011000…
…00100000011000
3101001001111201121
420211200200120
5243334101300
622143255024
73366256300
oct1045404030
9331044647
10144050200
1174349058
12402aa474
1323ac7a08
14151ba600
15c9a681a
hex8960818

144050200 has 72 divisors (see below), whose sum is σ = 389623500. Its totient is φ = 49385280.

The previous prime is 144050177. The next prime is 144050303. The reversal of 144050200 is 2050441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2451 + ... + 17149.

Almost surely, 2144050200 is an apocalyptic number.

144050200 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 144050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194811750).

144050200 is an abundant number, since it is smaller than the sum of its proper divisors (245573300).

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

144050200 is a wasteful number, since it uses less digits than its factorization.

144050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 144050200 is about 12002.0914844039. The cubic root of 144050200 is about 524.2091797367.

The spelling of 144050200 in words is "one hundred forty-four million, fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 14699 29398 58796 73495 102893 117592 146990 205786 293980 367475 411572 514465 587960 720251 734950 823144 1028930 1440502 1469900 2057860 2572325 2881004 2939800 3601255 4115720 5144650 5762008 7202510 10289300 14405020 18006275 20578600 28810040 36012550 72025100 144050200