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144065640 = 23352694463
BaseRepresentation
bin10001001011001…
…00010001101000
3101001002021220110
420211210101220
5243340100030
622143454320
73366352305
oct1045442150
9331067813
10144065640
1174359714
12402b73a0
1323b01a54
14151c20ac
15c9ab1b0
hex8964468

144065640 has 64 divisors (see below), whose sum is σ = 433900800. Its totient is φ = 38266112.

The previous prime is 144065557. The next prime is 144065641. The reversal of 144065640 is 46560441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144065598 and 144065607.

It is not an unprimeable number, because it can be changed into a prime (144065641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30049 + ... + 34511.

It is an arithmetic number, because the mean of its divisors is an integer number (6779700).

Almost surely, 2144065640 is an apocalyptic number.

144065640 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 144065640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216950400).

144065640 is an abundant number, since it is smaller than the sum of its proper divisors (289835160).

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

144065640 is a wasteful number, since it uses less digits than its factorization.

144065640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144065640 is about 12002.7346883950. The cubic root of 144065640 is about 524.2279081628.

The spelling of 144065640 in words is "one hundred forty-four million, sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 4463 5380 6456 8070 8926 10760 13389 16140 17852 22315 26778 32280 35704 44630 53556 66945 89260 107112 133890 178520 267780 535560 1200547 2401094 3601641 4802188 6002735 7203282 9604376 12005470 14406564 18008205 24010940 28813128 36016410 48021880 72032820 144065640