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144244152 = 23341317123
BaseRepresentation
bin10001001100011…
…11110110111000
3101001102100210000
420212033312320
5243411303102
622151353000
73401024613
oct1046176670
9331370700
10144244152
1174470848
1240382760
1323b65090
141522b17a
15c9e401c
hex898fdb8

144244152 has 80 divisors (see below), whose sum is σ = 435120840. Its totient is φ = 44380224.

The previous prime is 144244151. The next prime is 144244153. The reversal of 144244152 is 251442441.

It is an interprime number because it is at equal distance from previous prime (144244151) and next prime (144244153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144244151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138 + ... + 16985.

Almost surely, 2144244152 is an apocalyptic number.

144244152 is a gapful number since it is divisible by the number (12) 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 144244152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217560420).

144244152 is an abundant number, since it is smaller than the sum of its proper divisors (290876688).

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

144244152 is a wasteful number, since it uses less digits than its factorization.

144244152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17141 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144244152 is about 12010.1686915713. The cubic root of 144244152 is about 524.4443427149. Note that the first 3 decimals are identical.

Adding to 144244152 its reverse (251442441), we get a palindrome (395686593).

The spelling of 144244152 in words is "one hundred forty-four million, two hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 17123 34246 51369 68492 102738 136984 154107 205476 222599 308214 410952 445198 462321 616428 667797 890396 924642 1232856 1335594 1386963 1780792 1849284 2003391 2671188 2773926 3698568 4006782 5342376 5547852 6010173 8013564 11095704 12020346 16027128 18030519 24040692 36061038 48081384 72122076 144244152