Search a number
-
+
144142110560 = 2557177570489
BaseRepresentation
bin1000011000111110001…
…0100000111101100000
3111210001111210220020102
42012033202200331200
54330200340014220
6150115025401532
713261655503250
oct2061742407540
9453044726212
10144142110560
1156148511108
1223b28a992a8
1310791a7c5a6
146d957b5960
153b396b8775
hex218f8a0f60

144142110560 has 96 divisors (see below), whose sum is σ = 412076911680. Its totient is φ = 46513078272.

The previous prime is 144142110557. The next prime is 144142110569. The reversal of 144142110560 is 65011241441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144142110569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3766205 + ... + 3804284.

It is an arithmetic number, because the mean of its divisors is an integer number (4292467830).

Almost surely, 2144142110560 is an apocalyptic number.

144142110560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144142110560 is an abundant number, since it is smaller than the sum of its proper divisors (267934801120).

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

144142110560 is a wasteful number, since it uses less digits than its factorization.

144142110560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570528 (or 7570520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 144142110560 in words is "one hundred forty-four billion, one hundred forty-two million, one hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 7570489 15140978 30281956 37852445 52993423 60563912 75704890 105986846 121127824 128698313 151409780 211973692 242255648 257396626 264967115 302819560 423947384 514793252 529934230 605639120 643491565 847894768 900888191 1029586504 1059868460 1211278240 1286983130 1695789536 1801776382 2059173008 2119736920 2573966260 3603552764 4118346016 4239473840 4504440955 5147932520 7207105528 8478947680 9008881910 10295865040 14414211056 18017763820 20591730080 28828422112 36035527640 72071055280 144142110560