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143108220032 = 2729211532
BaseRepresentation
bin1000010101000111101…
…0100010010010000000
3111200101110100211001122
42011101322202102000
54321041201020112
6145424253451412
713224232541201
oct2052172422200
9450343324048
10143108220032
115576794a928
122389a7a0b68
131065880764b
146cd83655a8
153ac8a40872
hex2151ea2480

143108220032 has 72 divisors (see below), whose sum is σ = 295524695115. Its totient is φ = 69026807808.

The previous prime is 143108220023. The next prime is 143108220037. The reversal of 143108220032 is 230022801341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 115888499776 + 27219720256 = 340424^2 + 164984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=267496.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 143108219983 and 143108220010.

It is not an unprimeable number, because it can be changed into a prime (143108220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124117568 + ... + 124118720.

Almost surely, 2143108220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143108220032

143108220032 is an abundant number, since it is smaller than the sum of its proper divisors (152416475083).

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

143108220032 is an frugal number, since it uses more digits than its factorization.

143108220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 143108220032 in words is "one hundred forty-three billion, one hundred eight million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1153 1682 1856 2306 3364 3712 4612 6728 9224 13456 18448 26912 33437 36896 53824 66874 73792 107648 133748 147584 267496 534992 969673 1069984 1329409 1939346 2139968 2658818 3878692 4279936 5317636 7757384 10635272 15514768 21270544 31029536 38552861 42541088 62059072 77105722 85082176 124118144 154211444 170164352 308422888 616845776 1118032969 1233691552 2236065938 2467383104 4472131876 4934766208 8944263752 17888527504 35777055008 71554110016 143108220032