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144457316000 = 255336114329
BaseRepresentation
bin1000011010001001010…
…0111011011010100000
3111210212110220222210222
42012202110323122200
54331322033103000
6150210205342212
713302533632454
oct2064224733240
9453773828728
10144457316000
115629a430678
1223bb6567968
131081217239a
146dc55c6664
153b571cca85
hex21a253b6a0

144457316000 has 48 divisors (see below), whose sum is σ = 354931635240. Its totient is φ = 57782924800.

The previous prime is 144457315973. The next prime is 144457316023. The reversal of 144457316000 is 613754441.

It can be written as a sum of positive squares in 4 ways, for example, as 60011280784 + 84446035216 = 244972^2 + 290596^2 .

It is a super-2 number, since 2×1444573160002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18053165 + ... + 18061164.

Almost surely, 2144457316000 is an apocalyptic number.

144457316000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144457316000 is an abundant number, since it is smaller than the sum of its proper divisors (210474319240).

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

144457316000 is an equidigital number, since it uses as much as digits as its factorization.

144457316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36114354 (or 36114336 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 144457316000 in words is "one hundred forty-four billion, four hundred fifty-seven million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 36114329 72228658 144457316 180571645 288914632 361143290 577829264 722286580 902858225 1155658528 1444573160 1805716450 2889146320 3611432900 4514291125 5778292640 7222865800 9028582250 14445731600 18057164500 28891463200 36114329000 72228658000 144457316000