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14013400663350 = 23252114380164633
BaseRepresentation
bin1100101111101011111111…
…0001001100010100110110
31211121200000222122012000100
43023322333301030110312
53314043421032211400
645445400053454530
72644302063201654
oct313727761142466
954550028565010
1014013400663350
114513060389380
1216a3a83641446
137a85c533a14a
143663760d1dd4
151947c25e5100
hexcbebfc4c536

14013400663350 has 144 divisors (see below), whose sum is σ = 41073576573744. Its totient is φ = 3397057920000.

The previous prime is 14013400663349. The next prime is 14013400663373. The reversal of 14013400663350 is 5336600431041.

14013400663350 is a `hidden beast` number, since 1 + 4 + 0 + 13 + 4 + 0 + 0 + 6 + 633 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216782634 + ... + 216847266.

It is an arithmetic number, because the mean of its divisors is an integer number (285233170651).

Almost surely, 214013400663350 is an apocalyptic number.

14013400663350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14013400663350 is an abundant number, since it is smaller than the sum of its proper divisors (27060175910394).

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

14013400663350 is a wasteful number, since it uses less digits than its factorization.

14013400663350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108463 (or 108455 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 14013400663350 in words is "fourteen trillion, thirteen billion, four hundred million, six hundred sixty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 43801 64633 87602 129266 131403 193899 219005 262806 323165 387798 394209 438010 481811 581697 646330 657015 710963 788418 963622 969495 1095025 1163394 1314030 1421926 1445433 1615825 1938990 1971045 2132889 2190050 2409055 2890866 2908485 3231650 3285075 3554815 3942090 4265778 4336299 4818110 4847475 5816970 6398667 6570150 7109630 7227165 8672598 9694950 9855225 10664445 12045275 12797334 14454330 14542425 17774075 19710450 21328890 21681495 24090550 29084850 31993335 35548150 36135825 43362990 53322225 63986670 72271650 106644450 108407475 159966675 216814950 319933350 2830990033 5661980066 8492970099 14154950165 16985940198 25478910297 28309900330 31140890363 42464850495 50957820594 62281780726 70774750825 84929700990 93422671089 127394551485 141549501650 155704451815 186845342178 212324252475 254789102970 280268013267 311408903630 424648504950 467113355445 560536026534 636972757425 778522259075 934226710890 1273945514850 1401340066335 1557044518150 2335566777225 2802680132670 4671133554450 7006700331675 14013400663350