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144691974936 = 2332231071934231
BaseRepresentation
bin1000011011000001010…
…0000101001100011000
3111211110211110220100200
42012300110011030120
54332312121144221
6150245351102200
713311413331345
oct2066024051430
9454424426320
10144691974936
11563aa936383
1224061071960
131084b973122
14700882b7cc
153b6cad1426
hex21b0505318

144691974936 has 192 divisors, whose sum is σ = 414970283520. Its totient is φ = 45454970880.

The previous prime is 144691974883. The next prime is 144691974971. The reversal of 144691974936 is 639479196441.

144691974936 is a `hidden beast` number, since 1 + 4 + 469 + 19 + 74 + 93 + 6 = 666.

It is a super-2 number, since 2×1446919749362 (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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34195941 + ... + 34200171.

It is an arithmetic number, because the mean of its divisors is an integer number (2161303560).

Almost surely, 2144691974936 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 144691974936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207485141760).

144691974936 is an abundant number, since it is smaller than the sum of its proper divisors (270278308584).

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

144691974936 is a wasteful number, since it uses less digits than its factorization.

144691974936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4559 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 144691974936 in words is "one hundred forty-four billion, six hundred ninety-one million, nine hundred seventy-four thousand, nine hundred thirty-six".