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14112378875100 = 223521119225077813
BaseRepresentation
bin1100110101011100101101…
…0101000110110011011100
31211222010111221121022021210
43031113023111012303130
53322204122443000400
650003045400224420
72654404622131662
oct315271325066334
954863457538253
1014112378875100
114551031a69880
1216bb0a716b110
137b4a3a25134c
1436b085572c32
15197166c97950
hexcd5cb546cdc

14112378875100 has 144 divisors (see below), whose sum is σ = 46888210212480. Its totient is φ = 3241120492800.

The previous prime is 14112378875003. The next prime is 14112378875113. The reversal of 14112378875100 is 157887321141.

It is a self number, because there is not a number n which added to its sum of digits gives 14112378875100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112476207 + ... + 112601606.

It is an arithmetic number, because the mean of its divisors is an integer number (325612570920).

Almost surely, 214112378875100 is an apocalyptic number.

14112378875100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112378875100 is an abundant number, since it is smaller than the sum of its proper divisors (32775831337380).

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

14112378875100 is a wasteful number, since it uses less digits than its factorization.

14112378875100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225077860 (or 225077853 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 14112378875100 in words is "fourteen trillion, one hundred twelve billion, three hundred seventy-eight million, eight hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 225077813 450155626 675233439 900311252 1125389065 1350466878 2250778130 2475855943 2700933756 3376167195 4276478447 4501556260 4951711886 5626945325 6752334390 7427567829 8552956894 9903423772 11253890650 12379279715 12829435341 13504668780 14855135658 16880835975 17105913788 21382392235 22507781300 24758559430 25658870682 29710271316 33761671950 37137839145 42764784470 47041262917 49517118860 51317741364 61896398575 64147176705 67523343900 74275678290 85529568940 94082525834 106911961175 123792797150 128294353410 141123788751 148551356580 185689195725 188165051668 213823922350 235206314585 247585594300 256588706820 282247577502 320735883525 371378391450 427647844700 470412629170 564495155004 641471767050 705618943755 742756782900 940825258340 1176031572925 1282943534100 1411237887510 2352063145850 2822475775020 3528094718775 4704126291700 7056189437550 14112378875100