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14045576754000 = 2435311212811769
BaseRepresentation
bin1100110001100011110110…
…0111001111001101010000
31211201202002101121221120110
43030120331213033031100
53320110320122112000
645512240543041320
72646521325356301
oct314307547171520
954652071557513
1014045576754000
114525771a01530
1216aa1632a0240
137ab6524b1c3c
14367b495527a8
151955572b6850
hexcc63d9cf350

14045576754000 has 160 divisors (see below), whose sum is σ = 49399570546560. Its totient is φ = 3404988288000.

The previous prime is 14045576753951. The next prime is 14045576754043. The reversal of 14045576754000 is 45767554041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106339885 + ... + 106471884.

It is an arithmetic number, because the mean of its divisors is an integer number (308747315916).

Almost surely, 214045576754000 is an apocalyptic number.

14045576754000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14045576754000 is an abundant number, since it is smaller than the sum of its proper divisors (35353993792560).

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

14045576754000 is a wasteful number, since it uses less digits than its factorization.

14045576754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212811806 (or 212811790 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 14045576754000 in words is "fourteen trillion, forty-five billion, five hundred seventy-six million, seven hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 212811769 425623538 638435307 851247076 1064058845 1276870614 1702494152 2128117690 2340929459 2553741228 3192176535 3404988304 4256235380 4681858918 5107482456 5320294225 6384353070 7022788377 8512470760 9363717836 10214964912 10640588450 11704647295 12768706140 14045576754 15960882675 17024941520 18727435672 21281176900 23409294590 25537412280 26601471125 28091153508 31921765350 35113941885 37454871344 42562353800 46818589180 51074824560 53202942250 56182307016 58523236475 63843530700 70227883770 79804413375 85124707600 93637178360 106405884500 112364614032 117046472950 127687061400 140455767540 159608826750 175569709425 187274356720 212811769000 234092945900 255374122800 280911535080 292616182375 319217653500 351139418850 425623538000 468185891800 561823070160 585232364750 638435307000 702278837700 877848547125 936371783600 1170464729500 1276870614000 1404557675400 1755697094250 2340929459000 2809115350800 3511394188500 4681858918000 7022788377000 14045576754000