Search a number
-
+
144775160000 = 26548774127
BaseRepresentation
bin1000011011010101000…
…1011010000011000000
3111211200122000010210222
42012311101122003000
54332444420110000
6150301522042212
713313443361402
oct2066521320300
9454618003728
10144775160000
1156442892569
1224084aa9368
1310862c7a163
1470158c2b72
153b75063a85
hex21b545a0c0

144775160000 has 140 divisors (see below), whose sum is σ = 359491775808. Its totient is φ = 57830016000.

The previous prime is 144775159967. The next prime is 144775160039. The reversal of 144775160000 is 61577441.

It is a happy number.

144775160000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35077937 + ... + 35082063.

Almost surely, 2144775160000 is an apocalyptic number.

144775160000 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 144775160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179745887904).

144775160000 is an abundant number, since it is smaller than the sum of its proper divisors (214716615808).

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

144775160000 is an frugal number, since it uses more digits than its factorization.

144775160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 144775160000 in words is "one hundred forty-four billion, seven hundred seventy-five million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 877 1000 1250 1600 1754 2000 2500 3508 4000 4127 4385 5000 7016 8000 8254 8770 10000 14032 16508 17540 20000 20635 21925 28064 33016 35080 40000 41270 43850 56128 66032 70160 82540 87700 103175 109625 132064 140320 165080 175400 206350 219250 264128 280640 330160 350800 412700 438500 515875 548125 660320 701600 825400 877000 1031750 1096250 1320640 1403200 1650800 1754000 2063500 2192500 2579375 3301600 3508000 3619379 4127000 4385000 5158750 6603200 7016000 7238758 8254000 8770000 10317500 14477516 16508000 17540000 18096895 20635000 28955032 33016000 35080000 36193790 41270000 57910064 72387580 82540000 90484475 115820128 144775160 165080000 180968950 231640256 289550320 361937900 452422375 579100640 723875800 904844750 1158201280 1447751600 1809689500 2262111875 2895503200 3619379000 4524223750 5791006400 7238758000 9048447500 14477516000 18096895000 28955032000 36193790000 72387580000 144775160000