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144301582464 = 2731328906567
BaseRepresentation
bin1000011001100100001…
…0110110100010000000
3111210110121212220120020
42012121002312202000
54331012201114324
6150142523413440
713265633133024
oct2063102664200
9453417786506
10144301582464
115621a532776
1223b72384280
13107b8b16870
146daca48384
153b486b9679
hex21990b6880

144301582464 has 64 divisors (see below), whose sum is σ = 412785791040. Its totient is φ = 44400485376.

The previous prime is 144301582463. The next prime is 144301582483. The reversal of 144301582464 is 464285103441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1443015824642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144301582463) 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 7 ways as a sum of consecutive naturals, for example, 14448292 + ... + 14458275.

It is an arithmetic number, because the mean of its divisors is an integer number (6449777985).

Almost surely, 2144301582464 is an apocalyptic number.

It is an amenable number.

144301582464 is an abundant number, since it is smaller than the sum of its proper divisors (268484208576).

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

144301582464 is a wasteful number, since it uses less digits than its factorization.

144301582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906597 (or 28906585 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 144301582464 in words is "one hundred forty-four billion, three hundred one million, five hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 28906567 57813134 86719701 115626268 173439402 231252536 346878804 375785371 462505072 693757608 751570742 925010144 1127356113 1387515216 1503141484 1850020288 2254712226 2775030432 3006282968 3700040576 4509424452 5550060864 6012565936 9018848904 11100121728 12025131872 18037697808 24050263744 36075395616 48100527488 72150791232 144301582464