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144641342672 = 244761251691
BaseRepresentation
bin1000011010110101001…
…0111011110011010000
3111211100022012111221122
42012231102323303100
54332211140431142
6150240341541412
713310230061411
oct2065522736320
9454308174848
10144641342672
11563842a3632
1224048114868
1310841325cc8
147001c0b808
153b6842e1d2
hex21ad4bbcd0

144641342672 has 60 divisors (see below), whose sum is σ = 290979643968. Its totient is φ = 69620227200.

The previous prime is 144641342663. The next prime is 144641342687. The reversal of 144641342672 is 276243146441.

144641342672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446413426722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2772347 + ... + 2824037.

Almost surely, 2144641342672 is an apocalyptic number.

It is an amenable number.

144641342672 is an abundant number, since it is smaller than the sum of its proper divisors (146338301296).

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

144641342672 is an equidigital number, since it uses as much as digits as its factorization.

144641342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51868 (or 51801 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 144641342672 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 47 61 94 122 188 244 376 488 752 976 2867 3721 5734 7442 11468 14884 22936 29768 45872 51691 59536 103382 174887 206764 349774 413528 699548 827056 1399096 2429477 2798192 3153151 4858954 6306302 9717908 12612604 19435816 25225208 38871632 50450416 148198097 192342211 296396194 384684422 592792388 769368844 1185584776 1538737688 2371169552 3077475376 9040083917 18080167834 36160335668 72320671336 144641342672