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144835673238744 = 233172107195156347
BaseRepresentation
bin100000111011101000101110…
…110110101010110011011000
3200222211011012002120021101120
4200323220232312222303120
5122440441424322114434
61232012331214445240
742336014000442555
oct4073505666526330
9628734162507346
10144835673238744
11421705117598a4
12142b2159b03820
1362a7c3a008a97
1427aa12666ba2c
1511b27954a2349
hex83ba2edaacd8

144835673238744 has 96 divisors (see below), whose sum is σ = 388236232457280. Its totient is φ = 45013982142976.

The previous prime is 144835673238743. The next prime is 144835673238749. The reversal of 144835673238744 is 447832376538441.

It is a happy number.

144835673238744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144835673238743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96836022 + ... + 98320325.

It is an arithmetic number, because the mean of its divisors is an integer number (4044127421430).

Almost surely, 2144835673238744 is an apocalyptic number.

It is an amenable number.

144835673238744 is an abundant number, since it is smaller than the sum of its proper divisors (243400559218536).

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

144835673238744 is a wasteful number, since it uses less digits than its factorization.

144835673238744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195156497 (or 195156476 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 69.

The spelling of 144835673238744 in words is "one hundred forty-four trillion, eight hundred thirty-five billion, six hundred seventy-three million, two hundred thirty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 204 214 289 321 408 428 578 642 856 867 1156 1284 1734 1819 2312 2568 3468 3638 5457 6936 7276 10914 14552 21828 30923 43656 61846 92769 123692 185538 247384 371076 742152 195156347 390312694 585469041 780625388 1170938082 1561250776 2341876164 3317657899 4683752328 6635315798 9952973697 13270631596 19905947394 20881729129 26541263192 39811894788 41763458258 56400184283 62645187387 79623789576 83526916516 112800368566 125290374774 167053833032 169200552849 225600737132 250580749548 338401105698 354989395193 451201474264 501161499096 676802211396 709978790386 1064968185579 1353604422792 1419957580772 2129936371158 2839915161544 4259872742316 6034819718281 8519745484632 12069639436562 18104459154843 24139278873124 36208918309686 48278557746248 72417836619372 144835673238744