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144001452532146 = 23112198349108171
BaseRepresentation
bin100000101111011111110011…
…011011001110000110110010
3200212212101220211010112001020
4200233133303123032012302
5122333304433322012041
61230133204245520310
742221522143436616
oct4057376333160662
9625771824115036
10144001452532146
1141979744931800
1214198543113096
13624738141b6c1
14277b9c94d5346
15119ac1cc66866
hex82f7f36ce1b2

144001452532146 has 24 divisors (see below), whose sum is σ = 316565176642512. Its totient is φ = 43636803797400.

The previous prime is 144001452532121. The next prime is 144001452532159. The reversal of 144001452532146 is 641235254100441.

144001452532146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144001452532098 and 144001452532107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99174553360 + ... + 99174554811.

It is an arithmetic number, because the mean of its divisors is an integer number (13190215693438).

Almost surely, 2144001452532146 is an apocalyptic number.

144001452532146 is an abundant number, since it is smaller than the sum of its proper divisors (172563724110366).

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

144001452532146 is a wasteful number, since it uses less digits than its factorization.

144001452532146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198349108198 (or 198349108187 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 144001452532146 in words is "one hundred forty-four trillion, one billion, four hundred fifty-two million, five hundred thirty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 198349108171 396698216342 595047324513 1190094649026 2181840189881 4363680379762 6545520569643 13091041139286 24000242088691 48000484177382 72000726266073 144001452532146