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144171116540 = 225112717333299
BaseRepresentation
bin1000011001000101000…
…1001010011111111100
3111210010112101112221222
42012101101022133330
54330230301212130
6150121543212512
713262460161633
oct2062121123774
9453115345858
10144171116540
11561629227a0
1223b36747138
1310797a96ca9
146d995a651a
153b3bee7ce5
hex219144a7fc

144171116540 has 96 divisors (see below), whose sum is σ = 332054553600. Its totient is φ = 52145337600.

The previous prime is 144171116539. The next prime is 144171116567. The reversal of 144171116540 is 45611171441.

It is a self number, because there is not a number n which added to its sum of digits gives 144171116540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43699811 + ... + 43703109.

It is an arithmetic number, because the mean of its divisors is an integer number (3458901600).

Almost surely, 2144171116540 is an apocalyptic number.

144171116540 is a gapful number since it is divisible by the number (10) 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 144171116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166027276800).

144171116540 is an abundant number, since it is smaller than the sum of its proper divisors (187883437060).

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

144171116540 is a wasteful number, since it uses less digits than its factorization.

144171116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

Adding to 144171116540 its reverse (45611171441), we get a palindrome (189782287981).

The spelling of 144171116540 in words is "one hundred forty-four billion, one hundred seventy-one million, one hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 733 1084 1355 1466 2710 2932 2981 3299 3665 5420 5962 6598 7330 8063 11924 13196 14660 14905 16126 16495 29810 32252 32990 36289 40315 59620 65980 72578 80630 145156 161260 181445 198643 362890 397286 725780 794572 894029 993215 1788058 1986430 2185073 2418167 3576116 3972860 4370146 4470145 4836334 8740292 8940290 9672668 9834319 10925365 12090835 17880580 19668638 21850730 24181670 26599837 39337276 43701460 48363340 49171595 53199674 98343190 106399348 132999185 196686380 265998370 531996740 655323257 1310646514 2621293028 3276616285 6553232570 7208555827 13106465140 14417111654 28834223308 36042779135 72085558270 144171116540