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144140022 = 232132712273
BaseRepresentation
bin10001001011101…
…10011011110110
3101001020001221100
420211312123312
5243344440042
622145230530
73400112205
oct1045663366
9331201840
10144140022
11743aa594
1240332446
1323b29870
141520123c
15c9c324c
hex89766f6

144140022 has 48 divisors (see below), whose sum is σ = 337716288. Its totient is φ = 44167680.

The previous prime is 144139993. The next prime is 144140027. The reversal of 144140022 is 220041441.

It is a super-4 number, since 4×1441400224 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144139977 and 144140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144140027) 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, 62278 + ... + 64550.

It is an arithmetic number, because the mean of its divisors is an integer number (7035756).

Almost surely, 2144140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168858144).

144140022 is an abundant number, since it is smaller than the sum of its proper divisors (193576266).

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

144140022 is a wasteful number, since it uses less digits than its factorization.

144140022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144140022 is about 12005.8328324194. The cubic root of 144140022 is about 524.3181133669.

Adding to 144140022 its reverse (220041441), we get a palindrome (364181463).

The spelling of 144140022 in words is "one hundred forty-four million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 542 813 1626 2273 2439 3523 4546 4878 6819 7046 10569 13638 20457 21138 29549 31707 40914 59098 63414 88647 177294 265941 531882 615983 1231966 1847949 3695898 5543847 8007779 11087694 16015558 24023337 48046674 72070011 144140022