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144101320 = 235112191567
BaseRepresentation
bin10001001011011…
…00111111001000
3101001011002211221
420211230333020
5243342220240
622144331424
73366561316
oct1045547710
9331132757
10144101320
1174383500
1240313b74
1323b1506c
14151d10b6
15c9b6a4a
hex896cfc8

144101320 has 96 divisors (see below), whose sum is σ = 375379200. Its totient is φ = 49610880.

The previous prime is 144101303. The next prime is 144101323. The reversal of 144101320 is 23101441.

144101320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144101294 and 144101303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144101323) 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, 91177 + ... + 92743.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2144101320 is an apocalyptic number.

144101320 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 144101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689600).

144101320 is an abundant number, since it is smaller than the sum of its proper divisors (231277880).

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

144101320 is a wasteful number, since it uses less digits than its factorization.

144101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 144101320 is about 12004.2209243249. The cubic root of 144101320 is about 524.2711822052.

Adding to 144101320 its reverse (23101441), we get a palindrome (167202761).

The spelling of 144101320 in words is "one hundred forty-four million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 380 418 440 484 605 760 836 968 1045 1210 1567 1672 2090 2299 2420 3134 4180 4598 4840 6268 7835 8360 9196 11495 12536 15670 17237 18392 22990 29773 31340 34474 45980 59546 62680 68948 86185 91960 119092 137896 148865 172370 189607 238184 297730 327503 344740 379214 595460 655006 689480 758428 948035 1190920 1310012 1516856 1637515 1896070 2620024 3275030 3602533 3792140 6550060 7205066 7584280 13100120 14410132 18012665 28820264 36025330 72050660 144101320