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14031214000 = 2453371271493
BaseRepresentation
bin11010001000101001…
…10101010110110000
31100012212012112010121
431010110311112300
5212213442322000
610240145340024
71004464231306
oct150424652660
940185175117
1014031214000
115a50288831
122877037614
131427c1a5bb
149716c0276
15571c4bb1a
hex3445355b0

14031214000 has 160 divisors (see below), whose sum is σ = 35142322176. Its totient is φ = 5414169600.

The previous prime is 14031213983. The next prime is 14031214007. The reversal of 14031214000 is 41213041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14031214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9397254 + ... + 9398746.

Almost surely, 214031214000 is an apocalyptic number.

14031214000 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 14031214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571161088).

14031214000 is an abundant number, since it is smaller than the sum of its proper divisors (21111108176).

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

14031214000 is a wasteful number, since it uses less digits than its factorization.

14031214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14031214000 its reverse (41213041), we get a palindrome (14072427041).

The spelling of 14031214000 in words is "fourteen billion, thirty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 127 148 185 200 250 254 296 370 400 500 508 592 635 740 925 1000 1016 1270 1480 1493 1850 2000 2032 2540 2960 2986 3175 3700 4625 4699 5080 5972 6350 7400 7465 9250 9398 10160 11944 12700 14800 14930 15875 18500 18796 23495 23888 25400 29860 31750 37000 37325 37592 46990 50800 55241 59720 63500 74000 74650 75184 93980 110482 117475 119440 127000 149300 186625 187960 189611 220964 234950 254000 276205 298600 373250 375920 379222 441928 469900 552410 587375 597200 746500 758444 883856 939800 948055 1104820 1174750 1381025 1493000 1516888 1879600 1896110 2209640 2349500 2762050 2986000 3033776 3792220 4419280 4699000 4740275 5524100 6905125 7015607 7584440 9398000 9480550 11048200 13810250 14031214 15168880 18961100 22096400 23701375 27620500 28062428 35078035 37922200 47402750 55241000 56124856 70156070 75844400 94805500 110482000 112249712 140312140 175390175 189611000 280624280 350780350 379222000 561248560 701560700 876950875 1403121400 1753901750 2806242800 3507803500 7015607000 14031214000