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144241884 = 2235314787
BaseRepresentation
bin10001001100011…
…11010011011100
3101001102020200000
420212033103130
5243411220014
622151334300
73401015163
oct1046172334
9331366600
10144241884
117446a076
1240381390
1323b64037
141522a3da
15c9e3509
hex898f4dc

144241884 has 72 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 46519920.

The previous prime is 144241871. The next prime is 144241897. The reversal of 144241884 is 488142441.

144241884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144241871) and next prime (144241897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27739 + ... + 32525.

It is an arithmetic number, because the mean of its divisors is an integer number (5422144).

Almost surely, 2144241884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144241884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

144241884 is an abundant number, since it is smaller than the sum of its proper divisors (246152484).

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

144241884 is a wasteful number, since it uses less digits than its factorization.

144241884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4823 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 144241884 is about 12010.0742712108. The cubic root of 144241884 is about 524.4415940281.

The spelling of 144241884 in words is "one hundred forty-four million, two hundred forty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 4787 5022 7533 9574 10044 14361 15066 19148 28722 30132 43083 57444 86166 129249 148397 172332 258498 296794 387747 445191 516996 593588 775494 890382 1163241 1335573 1550988 1780764 2326482 2671146 4006719 4652964 5342292 8013438 12020157 16026876 24040314 36060471 48080628 72120942 144241884