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144651675440 = 2452378615041
BaseRepresentation
bin1000011010110111101…
…0010110011100110000
3111211101000122110211202
42012231322112130300
54332221312103230
6150241351230332
713310413645166
oct2065572263460
9454330573752
10144651675440
115638a110808
122404b6783a8
131084350317c
14700333b236
153b692c0a45
hex21ade96730

144651675440 has 40 divisors (see below), whose sum is σ = 350937547488. Its totient is φ = 55344988160.

The previous prime is 144651675439. The next prime is 144651675503. The reversal of 144651675440 is 44576156441.

144651675440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 39305681 + ... + 39309360.

Almost surely, 2144651675440 is an apocalyptic number.

144651675440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144651675440 is an abundant number, since it is smaller than the sum of its proper divisors (206285872048).

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

144651675440 is a wasteful number, since it uses less digits than its factorization.

144651675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78615077 (or 78615071 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 144651675440 in words is "one hundred forty-four billion, six hundred fifty-one million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 78615041 157230082 314460164 393075205 628920328 786150410 1257840656 1572300820 1808145943 3144601640 3616291886 6289203280 7232583772 9040729715 14465167544 18081459430 28930335088 36162918860 72325837720 144651675440