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144661376025 = 32525317370121
BaseRepresentation
bin1000011010111001111…
…1010110110000011001
3111211101200220022112200
42012232133112300121
54332231303013100
6150242335200413
713310562256605
oct2065637266031
9454350808480
10144661376025
1156394636a21
1224052976109
131084551b66a
147004744505
153b6a089e00
hex21ae7d6c19

144661376025 has 72 divisors (see below), whose sum is σ = 265523123736. Its totient is φ = 75258393600.

The previous prime is 144661376017. The next prime is 144661376029. The reversal of 144661376025 is 520673166441.

144661376025 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 6 + 1 + 37 + 602 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25826739849 + 118834636176 = 160707^2 + 344724^2 .

It is not a de Polignac number, because 144661376025 - 23 = 144661376017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144661376029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2027965 + ... + 2098085.

It is an arithmetic number, because the mean of its divisors is an integer number (3687821163).

Almost surely, 2144661376025 is an apocalyptic number.

144661376025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144661376025 is a deficient number, since it is larger than the sum of its proper divisors (120861747711).

144661376025 is a wasteful number, since it uses less digits than its factorization.

144661376025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70363 (or 70355 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 144661376025 in words is "one hundred forty-four billion, six hundred sixty-one million, three hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 173 225 265 477 519 795 865 1325 1557 2385 2595 3975 4325 7785 9169 11925 12975 27507 38925 45845 70121 82521 137535 210363 229225 350605 412605 631089 687675 1051815 1753025 2063025 3155445 3716413 5259075 11149239 12130933 15777225 18582065 33447717 36392799 55746195 60654665 92910325 109178397 167238585 181963995 278730975 303273325 545891985 642939449 836192925 909819975 1928818347 2729459925 3214697245 5786455041 9644091735 16073486225 28932275205 48220458675 144661376025