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144352040 = 23572471567
BaseRepresentation
bin10001001101010…
…10001100101000
3101001121211202212
420212222030220
5243423231130
622153544252
73401654300
oct1046521450
9331554685
10144352040
1174534908
1240415088
1323ba2211
1415258600
15ca15e95
hex89aa328

144352040 has 96 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 48408192.

The previous prime is 144352031. The next prime is 144352057. The reversal of 144352040 is 40253441.

It is a super-2 number, since 2×1443520402 = 41675022904323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144351997 and 144352015.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91337 + ... + 92903.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2144352040 is an apocalyptic number.

144352040 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 144352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

144352040 is an abundant number, since it is smaller than the sum of its proper divisors (241752280).

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

144352040 is a wasteful number, since it uses less digits than its factorization.

144352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 144352040 is about 12014.6593792750. The cubic root of 144352040 is about 524.5750635555.

The spelling of 144352040 in words is "one hundred forty-four million, three hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1316 1567 1645 1880 1960 2303 2632 3134 3290 4606 6268 6580 7835 9212 10969 11515 12536 13160 15670 18424 21938 23030 31340 43876 46060 54845 62680 73649 76783 87752 92120 109690 147298 153566 219380 294596 307132 368245 383915 438760 515543 589192 614264 736490 767830 1031086 1472980 1535660 2062172 2577715 2945960 3071320 3608801 4124344 5155430 7217602 10310860 14435204 18044005 20621720 28870408 36088010 72176020 144352040