Search a number
-
+
144775161460 = 225194353167173
BaseRepresentation
bin1000011011010101000…
…1011010011001110100
3111211200122000012211001
42012311101122121310
54332444420131320
6150301522053044
713313443365556
oct2066521323164
9454618005731
10144775161460
1156442893676
1224084aaa184
1310862c7aa17
1470158c34d6
153b7506420a
hex21b545a674

144775161460 has 96 divisors (see below), whose sum is σ = 333652556160. Its totient is φ = 52574925312.

The previous prime is 144775161449. The next prime is 144775161491. The reversal of 144775161460 is 64161577441.

It is a self number, because there is not a number n which added to its sum of digits gives 144775161460.

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, 782434 + ... + 949606.

It is an arithmetic number, because the mean of its divisors is an integer number (3475547460).

Almost surely, 2144775161460 is an apocalyptic number.

144775161460 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 144775161460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166826278080).

144775161460 is an abundant number, since it is smaller than the sum of its proper divisors (188877394700).

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

144775161460 is a wasteful number, since it uses less digits than its factorization.

144775161460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167297 (or 167295 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 144775161460 in words is "one hundred forty-four billion, seven hundred seventy-five million, one hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 43 53 76 86 95 106 172 190 212 215 265 380 430 530 817 860 1007 1060 1634 2014 2279 3268 4028 4085 4558 5035 8170 9116 10070 11395 16340 20140 22790 43301 45580 86602 167173 173204 216505 334346 433010 668692 835865 866020 1671730 3176287 3343460 6352574 7188439 8860169 12705148 14376878 15881435 17720338 28753756 31762870 35440676 35942195 44300845 63525740 71884390 88601690 136580341 143768780 168343211 177203380 273160682 336686422 380987267 546321364 673372844 682901705 761974534 841716055 1365803410 1523949068 1683432110 1904936335 2731606820 3366864220 3809872670 7238758073 7619745340 14477516146 28955032292 36193790365 72387580730 144775161460