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144114141343130 = 25722397713088447
BaseRepresentation
bin100000110001001000110000…
…001100111010110110011010
3200220021011210022000020200022
4200301020300030322312122
5122342131230140440010
61230301042250110442
742232621524512300
oct4061106014726632
9626234708006608
10144114141343130
1141a12511816352
12141b635241b422
136254b9c9b520a
142783239838270
15119db15e33d55
hex83123033ad9a

144114141343130 has 96 divisors (see below), whose sum is σ = 315199564793856. Its totient is φ = 47213898902016.

The previous prime is 144114141343129. The next prime is 144114141343141. The reversal of 144114141343130 is 31343141411441.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 4466567 + ... + 17555013.

It is an arithmetic number, because the mean of its divisors is an integer number (3283328799936).

Almost surely, 2144114141343130 is an apocalyptic number.

144114141343130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144114141343130 is an abundant number, since it is smaller than the sum of its proper divisors (171085423450726).

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

144114141343130 is a wasteful number, since it uses less digits than its factorization.

144114141343130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089468 (or 13089461 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 144114141343130 its reverse (31343141411441), we get a palindrome (175457282754571).

The spelling of 144114141343130 in words is "one hundred forty-four trillion, one hundred fourteen billion, one hundred forty-one million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 805 977 1127 1610 1954 2254 4885 5635 6839 9770 11270 13678 22471 34195 44942 47873 68390 95746 112355 157297 224710 239365 314594 478730 786485 1101079 1572970 2202158 5505395 11010790 13088447 26176894 65442235 91619129 130884470 183238258 301034281 458095645 602068562 641333903 916191290 1282667806 1505171405 2107239967 3010342810 3206669515 4214479934 6413339030 10536199835 12787412719 14750679769 21072399670 25574825438 29501359538 63937063595 73753398845 89511889033 127874127190 147506797690 179023778066 294110492537 447559445165 588220985074 626583223231 895118890330 1253166446462 1470552462685 2058773447759 2941104925370 3132916116155 4117546895518 6265832232310 10293867238795 14411414134313 20587734477590 28822828268626 72057070671565 144114141343130