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144430110 = 232511236343
BaseRepresentation
bin10001001101111…
…01010000011110
3101001202210212100
420212331100132
5243433230420
622155345530
73402431016
oct1046752036
9331683770
10144430110
1174588530
12404522a6
1323bcb906
1415278c46
15ca2e190
hex89bd41e

144430110 has 96 divisors (see below), whose sum is σ = 427534848. Its totient is φ = 33485760.

The previous prime is 144430093. The next prime is 144430151. The reversal of 144430110 is 11034441.

144430110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444301102 = 41720113349224200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19599 + ... + 25941.

It is an arithmetic number, because the mean of its divisors is an integer number (4453488).

Almost surely, 2144430110 is an apocalyptic number.

144430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144430110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213767424).

144430110 is an abundant number, since it is smaller than the sum of its proper divisors (283104738).

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

144430110 is a wasteful number, since it uses less digits than its factorization.

144430110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144430110 is about 12017.9078878148. The cubic root of 144430110 is about 524.6696152603.

Adding to 144430110 its reverse (11034441), we get a palindrome (155464551).

The spelling of 144430110 in words is "one hundred forty-four million, four hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 6343 7590 11385 12686 19029 22770 31715 38058 57087 63430 69773 95145 114174 139546 145889 190290 209319 285435 291778 348865 418638 437667 570870 627957 697730 729445 875334 1046595 1255914 1313001 1458890 1604779 2093190 2188335 2626002 3139785 3209558 4376670 4814337 6279570 6565005 8023895 9628674 13130010 14443011 16047790 24071685 28886022 48143370 72215055 144430110