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144735518782804 = 2258013362371697
BaseRepresentation
bin100000111010001011011101…
…001011101111010101010100
3200222110120200011021202102111
4200322023131023233111110
5122432321320302022204
61231454325053120404
742325540036555315
oct4072133513572524
9628416604252374
10144735518782804
1142131a97118764
1214296868489104
13629b6684ca1c1
1427a5344cc260c
1511aed82907d04
hex83a2dd2ef554

144735518782804 has 12 divisors (see below), whose sum is σ = 253287598532724. Its totient is φ = 72367633487744.

The previous prime is 144735518782787. The next prime is 144735518782847. The reversal of 144735518782804 is 408287815537441.

144735518782804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11335328772804 + 133400190010000 = 3366798^2 + 11549900^2 .

It is a super-2 number, since 2×1447355187828042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144735518782804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28865317 + ... + 33506380.

It is an arithmetic number, because the mean of its divisors is an integer number (21107299877727).

Almost surely, 2144735518782804 is an apocalyptic number.

It is an amenable number.

144735518782804 is a deficient number, since it is larger than the sum of its proper divisors (108552079749920).

144735518782804 is a wasteful number, since it uses less digits than its factorization.

144735518782804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62951834 (or 62951832 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 67.

The spelling of 144735518782804 in words is "one hundred forty-four trillion, seven hundred thirty-five billion, five hundred eighteen million, seven hundred eighty-two thousand, eight hundred four".

Divisors: 1 2 4 580133 1160266 2320532 62371697 124743394 249486788 36183879695701 72367759391402 144735518782804