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144434500 = 22537291423
BaseRepresentation
bin10001001101111…
…10010101000100
3101001210000212221
420212332111010
5243433401000
622155422124
73402446560
oct1046762504
9331700787
10144434500
1174590861
1240454944
1323c00902
141527a6a0
15ca3061a
hex89be544

144434500 has 96 divisors (see below), whose sum is σ = 373201920. Its totient is φ = 47779200.

The previous prime is 144434497. The next prime is 144434509. The reversal of 144434500 is 5434441.

It is a super-2 number, since 2×1444345002 = 41722649580500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144434509) 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 31 ways as a sum of consecutive naturals, for example, 100789 + ... + 102211.

It is an arithmetic number, because the mean of its divisors is an integer number (3887520).

Almost surely, 2144434500 is an apocalyptic number.

144434500 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 144434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186600960).

144434500 is an abundant number, since it is smaller than the sum of its proper divisors (228767420).

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

144434500 is a wasteful number, since it uses less digits than its factorization.

144434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 144434500 is about 12018.0905305294. The cubic root of 144434500 is about 524.6749310408.

Adding to 144434500 its reverse (5434441), we get a palindrome (149868941).

The spelling of 144434500 in words is "one hundred forty-four million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 125 140 145 175 203 250 290 350 406 500 580 700 725 812 875 1015 1423 1450 1750 2030 2846 2900 3500 3625 4060 5075 5692 7115 7250 9961 10150 14230 14500 19922 20300 25375 28460 35575 39844 41267 49805 50750 71150 82534 99610 101500 142300 165068 177875 199220 206335 249025 288869 355750 412670 498050 577738 711500 825340 996100 1031675 1155476 1245125 1444345 2063350 2490250 2888690 4126700 4980500 5158375 5777380 7221725 10316750 14443450 20633500 28886900 36108625 72217250 144434500