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14003960000 = 2654418539
BaseRepresentation
bin11010000101011001…
…10111100011000000
31100010221220212200012
431002230313203000
5212140003210000
610233333244052
71004013460502
oct150254674300
940127825605
1014003960000
115a36963468
122869a93628
131422397484
1496bc27d72
1556e666735
hex342b378c0

14003960000 has 140 divisors (see below), whose sum is σ = 35576393160. Its totient is φ = 5464320000.

The previous prime is 14003959993. The next prime is 14003960077. The reversal of 14003960000 is 6930041.

It is a super-2 number, since 2×140039600002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1635731 + ... + 1644269.

It is an arithmetic number, because the mean of its divisors is an integer number (254117094).

Almost surely, 214003960000 is an apocalyptic number.

14003960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788196580).

14003960000 is an abundant number, since it is smaller than the sum of its proper divisors (21572433160).

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

14003960000 is an frugal number, since it uses more digits than its factorization.

14003960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 14003960000 in words is "fourteen billion, three million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3280 4000 4100 5000 5125 6560 8000 8200 8539 10000 10250 13120 16400 17078 20000 20500 25625 32800 34156 40000 41000 42695 51250 65600 68312 82000 85390 102500 136624 164000 170780 205000 213475 273248 328000 341560 350099 410000 426950 546496 683120 700198 820000 853900 1067375 1366240 1400396 1640000 1707800 1750495 2134750 2732480 2800792 3415600 3500990 4269500 5336875 5601584 6831200 7001980 8539000 8752475 10673750 11203168 13662400 14003960 17078000 17504950 21347500 22406336 28007920 34156000 35009900 42695000 43762375 56015840 68312000 70019800 85390000 87524750 112031680 140039600 170780000 175049500 218811875 280079200 341560000 350099000 437623750 560158400 700198000 875247500 1400396000 1750495000 2800792000 3500990000 7001980000 14003960000