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13853068326144 = 28332387139369
BaseRepresentation
bin1100100110010110101100…
…1101110111010100000000
31211001100012011001120002000
43021211223031313110000
53303432040442414034
645244002311224000
72626564642624425
oct311455315672400
954040164046060
1013853068326144
114461064a15373
121678998678000
1379645328c9b8
1435c6c63cbd4c
1519053b8ac599
hexc996b377500

13853068326144 has 144 divisors (see below), whose sum is σ = 42747089347200. Its totient is φ = 4416920285184.

The previous prime is 13853068326137. The next prime is 13853068326157. The reversal of 13853068326144 is 44162386035831.

13853068326144 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 306 + 8 + 326 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43410709 + ... + 43728660.

Almost surely, 213853068326144 is an apocalyptic number.

It is an amenable number.

13853068326144 is an abundant number, since it is smaller than the sum of its proper divisors (28894021021056).

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

13853068326144 is an equidigital number, since it uses as much as digits as its factorization.

13853068326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87139417 (or 87139397 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 13853068326144 in words is "thirteen trillion, eight hundred fifty-three billion, sixty-eight million, three hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 158976 87139369 174278738 261418107 348557476 522836214 697114952 784254321 1045672428 1394229904 1568508642 2004205487 2091344856 2352762963 2788459808 3137017284 4008410974 4182689712 4705525926 5576919616 6012616461 6274034568 8016821948 8365379424 9411051852 11153839232 12025232922 12548069136 16033643896 16730758848 18037849383 18822103704 22307678464 24050465844 25096138272 32067287792 33461517696 36075698766 37644207408 48100931688 50192276544 54113548149 64134575584 66923035392 72151397532 75288414816 96201863376 100384553088 108227096298 128269151168 144302795064 150576829632 192403726752 200769106176 216454192596 256538302336 288605590128 301153659264 384807453504 432908385192 513076604672 577211180256 602307318528 769614907008 865816770384 1154422360512 1539229814016 1731633540768 2308844721024 3463267081536 4617689442048 6926534163072 13853068326144