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144641342272 = 267246122877
BaseRepresentation
bin1000011010110101001…
…0111011101101000000
3111211100022012111101211
42012231102323231000
54332211140423042
6150240341535504
713310230060300
oct2065522735500
9454308174354
10144641342272
11563842a32a9
1224048114594
1310841325a7b
147001c0b600
153b6842e017
hex21ad4bbb40

144641342272 has 42 divisors (see below), whose sum is σ = 333883513842. Its totient is φ = 61989145344.

The previous prime is 144641342257. The next prime is 144641342291. The reversal of 144641342272 is 272243146441.

It can be written as a sum of positive squares in only one way, i.e., 121678182976 + 22963159296 = 348824^2 + 151536^2 .

It is a super-2 number, since 2×1446413422722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23058303 + ... + 23064574.

Almost surely, 2144641342272 is an apocalyptic number.

It is an amenable number.

144641342272 is an abundant number, since it is smaller than the sum of its proper divisors (189242171570).

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

144641342272 is an equidigital number, since it uses as much as digits as its factorization.

144641342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46122903 (or 46122886 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The spelling of 144641342272 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 46122877 92245754 184491508 322860139 368983016 645720278 737966032 1291440556 1475932064 2260020973 2582881112 2951864128 4520041946 5165762224 9040083892 10331524448 18080167784 20663048896 36160335568 72320671136 144641342272