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144442020 = 22353179983
BaseRepresentation
bin10001001110000…
…00001010100100
3101001210102012110
420213000022210
5243434121040
622155521020
73402510522
oct1047001244
9331712173
10144442020
1174596478
1240459170
1323c04168
141527d312
15ca32980
hex89c02a4

144442020 has 96 divisors (see below), whose sum is σ = 423198720. Its totient is φ = 36766080.

The previous prime is 144442003. The next prime is 144442049. The reversal of 144442020 is 20244441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146449 + ... + 147431.

It is an arithmetic number, because the mean of its divisors is an integer number (4408320).

Almost surely, 2144442020 is an apocalyptic number.

144442020 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 144442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211599360).

144442020 is an abundant number, since it is smaller than the sum of its proper divisors (278756700).

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

144442020 is a wasteful number, since it uses less digits than its factorization.

144442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 144442020 is about 12018.4033881377. The cubic root of 144442020 is about 524.6840366377.

Adding to 144442020 its reverse (20244441), we get a palindrome (164686461).

The spelling of 144442020 in words is "one hundred forty-four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 983 1185 1580 1860 1966 2370 2449 2949 3932 4740 4898 4915 5898 7347 9796 9830 11796 12245 14694 14745 19660 24490 29388 29490 30473 36735 48980 58980 60946 73470 77657 91419 121892 146940 152365 155314 182838 232971 304730 310628 365676 388285 457095 465942 609460 776570 914190 931884 1164855 1553140 1828380 2329710 2407367 4659420 4814734 7222101 9629468 12036835 14444202 24073670 28888404 36110505 48147340 72221010 144442020