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144014500 = 22537231789
BaseRepresentation
bin10001001010101…
…11110010100100
3101000222200202101
420211113302210
5243331431000
622142421444
73366050230
oct1045276244
9330880671
10144014500
1174324253
1240291884
1323ab46a6
14151ab5c0
15c99ae6a
hex8957ca4

144014500 has 96 divisors (see below), whose sum is σ = 375298560. Its totient is φ = 47203200.

The previous prime is 144014491. The next prime is 144014539. The reversal of 144014500 is 5410441.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79606 + ... + 81394.

It is an arithmetic number, because the mean of its divisors is an integer number (3909360).

Almost surely, 2144014500 is an apocalyptic number.

144014500 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 144014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187649280).

144014500 is an abundant number, since it is smaller than the sum of its proper divisors (231284060).

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

144014500 is a wasteful number, since it uses less digits than its factorization.

144014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 144014500 is about 12000.6041514584. The cubic root of 144014500 is about 524.1658711912.

Adding to 144014500 its reverse (5410441), we get a palindrome (149424941).

The spelling of 144014500 in words is "one hundred forty-four million, fourteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 575 644 700 805 875 1150 1610 1750 1789 2300 2875 3220 3500 3578 4025 5750 7156 8050 8945 11500 12523 16100 17890 20125 25046 35780 40250 41147 44725 50092 62615 80500 82294 89450 125230 164588 178900 205735 223625 250460 288029 313075 411470 447250 576058 626150 822940 894500 1028675 1152116 1252300 1440145 1565375 2057350 2880290 3130750 4114700 5143375 5760580 6261500 7200725 10286750 14401450 20573500 28802900 36003625 72007250 144014500