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14012142000 = 2435319112227
BaseRepresentation
bin11010000110011000…
…00101000110110000
31100011112022120021020
431003030011012300
5212144102021000
610234224455440
71004143145643
oct150314050660
940145276236
1014012142000
115a4054174a
12287077a580
131423ca06ac
1496cd57a5a
15570230ba0
hex3433051b0

14012142000 has 160 divisors (see below), whose sum is σ = 45415378944. Its totient is φ = 3716704000.

The previous prime is 14012141993. The next prime is 14012142013. The reversal of 14012142000 is 24121041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139887 + ... + 1152113.

Almost surely, 214012142000 is an apocalyptic number.

14012142000 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 14012142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22707689472).

14012142000 is an abundant number, since it is smaller than the sum of its proper divisors (31403236944).

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

14012142000 is a wasteful number, since it uses less digits than its factorization.

14012142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14012142000 its reverse (24121041), we get a palindrome (14036263041).

The spelling of 14012142000 in words is "fourteen billion, twelve million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 191 200 240 250 300 375 382 400 500 573 600 750 764 955 1000 1146 1200 1500 1528 1910 2000 2292 2865 3000 3056 3820 4584 4775 5730 6000 7640 9168 9550 11460 12227 14325 15280 19100 22920 23875 24454 28650 36681 38200 45840 47750 48908 57300 61135 71625 73362 76400 95500 97816 114600 122270 143250 146724 183405 191000 195632 229200 244540 286500 293448 305675 366810 382000 489080 573000 586896 611350 733620 917025 978160 1146000 1222700 1467240 1528375 1834050 2335357 2445400 2934480 3056750 3668100 4585125 4670714 4890800 6113500 7006071 7336200 9170250 9341428 11676785 12227000 14012142 14672400 18340500 18682856 23353570 24454000 28024284 35030355 36681000 37365712 46707140 56048568 58383925 70060710 73362000 93414280 112097136 116767850 140121420 175151775 186828560 233535700 280242840 291919625 350303550 467071400 560485680 583839250 700607100 875758875 934142800 1167678500 1401214200 1751517750 2335357000 2802428400 3503035500 4670714000 7006071000 14012142000