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14140796281344 = 293210728679899
BaseRepresentation
bin1100110111000110100100…
…1000111010001000000000
31212001211212101222010011100
43031301221020322020000
53323140322322000334
650024105300014400
72656432054114605
oct315615110721000
955054771863140
1014140796281344
11456209493a787
1217046b8091400
137b7618796325
1436c5bd7386ac
15197c7b9aec99
hexcdc6923a200

14140796281344 has 120 divisors (see below), whose sum is σ = 41192710930800. Its totient is φ = 4669546272768.

The previous prime is 14140796281319. The next prime is 14140796281351. The reversal of 14140796281344 is 44318269704141.

It is a happy number.

14140796281344 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 7 + 9 + 628 + 1 + 3 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13846894 + ... + 14833005.

It is an arithmetic number, because the mean of its divisors is an integer number (343272591090).

Almost surely, 214140796281344 is an apocalyptic number.

It is an amenable number.

14140796281344 is an abundant number, since it is smaller than the sum of its proper divisors (27051914649456).

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

14140796281344 is a wasteful number, since it uses less digits than its factorization.

14140796281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28680030 (or 28680011 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14140796281344 in words is "fourteen trillion, one hundred forty billion, seven hundred ninety-six million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1152 1284 1536 1712 1926 2304 2568 3424 3852 4608 5136 6848 7704 10272 13696 15408 20544 27392 30816 41088 54784 61632 82176 123264 164352 246528 493056 28679899 57359798 86039697 114719596 172079394 229439192 258119091 344158788 458878384 516238182 688317576 917756768 1032476364 1376635152 1835513536 2064952728 2753270304 3068749193 3671027072 4129905456 5506540608 6137498386 7342054144 8259810912 9206247579 11013081216 12274996772 14684108288 16519621824 18412495158 22026162432 24549993544 27618742737 33039243648 36824990316 44052324864 49099987088 55237485474 66078487296 73649980632 98199974176 110474970948 132156974592 147299961264 196399948352 220949941896 294599922528 392799896704 441899883792 589199845056 785599793408 883799767584 1178399690112 1571199586816 1767599535168 2356799380224 3535199070336 4713598760448 7070398140672 14140796281344