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144424420 = 2257472467
BaseRepresentation
bin10001001101110…
…11110111100100
3101001202112001121
420212323313210
5243433040140
622155303324
73402405310
oct1046736744
9331675047
10144424420
1174584228
124044ab44
1323bc914a
1415276b40
15ca2c64a
hex89bbde4

144424420 has 72 divisors (see below), whose sum is σ = 354908736. Its totient is φ = 48359616.

The previous prime is 144424391. The next prime is 144424421. The reversal of 144424420 is 24424441.

It is not an unprimeable number, because it can be changed into a prime (144424421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309027 + ... + 309493.

It is an arithmetic number, because the mean of its divisors is an integer number (4929288).

Almost surely, 2144424420 is an apocalyptic number.

144424420 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 144424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454368).

144424420 is an abundant number, since it is smaller than the sum of its proper divisors (210484316).

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

144424420 is a wasteful number, since it uses less digits than its factorization.

144424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 144424420 is about 12017.6711554277. The cubic root of 144424420 is about 524.6627251705.

Adding to 144424420 its reverse (24424441), we get a palindrome (168848861).

The spelling of 144424420 in words is "one hundred forty-four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 467 470 658 934 940 1316 1645 1868 2209 2335 3269 3290 4418 4670 6538 6580 8836 9340 11045 13076 15463 16345 21949 22090 30926 32690 43898 44180 61852 65380 77315 87796 109745 153643 154630 219490 307286 309260 438980 614572 768215 1031603 1536430 2063206 3072860 4126412 5158015 7221221 10316030 14442442 20632060 28884884 36106105 72212210 144424420