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144411520 = 2751173281
BaseRepresentation
bin10001001101110…
…00101110000000
3101001201212100211
420212320232000
5243432132040
622155123504
73402322561
oct1046705600
9331655324
10144411520
1174575570
1240443594
1323bc3306
1415272168
15ca288ea
hex89b8b80

144411520 has 128 divisors (see below), whose sum is σ = 383136480. Its totient is φ = 51609600.

The previous prime is 144411497. The next prime is 144411521. The reversal of 144411520 is 25114441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 144411491 and 144411500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144411521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513780 + ... + 514060.

Almost surely, 2144411520 is an apocalyptic number.

144411520 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 144411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191568240).

144411520 is an abundant number, since it is smaller than the sum of its proper divisors (238724960).

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

144411520 is a wasteful number, since it uses less digits than its factorization.

144411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144411520 is about 12017.1344337991. The cubic root of 144411520 is about 524.6471037341.

Adding to 144411520 its reverse (25114441), we get a palindrome (169525961).

The spelling of 144411520 in words is "one hundred forty-four million, four hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 281 292 320 352 365 440 562 584 640 704 730 803 880 1124 1168 1405 1408 1460 1606 1760 2248 2336 2810 2920 3091 3212 3520 4015 4496 4672 5620 5840 6182 6424 7040 8030 8992 9344 11240 11680 12364 12848 15455 16060 17984 20513 22480 23360 24728 25696 30910 32120 35968 41026 44960 46720 49456 51392 61820 64240 82052 89920 98912 102565 102784 123640 128480 164104 179840 197824 205130 225643 247280 256960 328208 395648 410260 451286 494560 513920 656416 820520 902572 989120 1128215 1312832 1641040 1805144 1978240 2256430 2625664 3282080 3610288 4512860 6564160 7220576 9025720 13128320 14441152 18051440 28882304 36102880 72205760 144411520