Search a number
-
+
14124351120 = 24351131117203
BaseRepresentation
bin11010010011110000…
…00111111010010000
31100110100110101020120
431021320013322100
5212411313213440
610253313510240
71010005001145
oct151170077220
940410411216
1014124351120
115a98912060
1228a2272380
1314412ca419
1497dc063cc
15579ee7dd0
hex349e07e90

14124351120 has 160 divisors (see below), whose sum is σ = 47922361344. Its totient is φ = 3412876800.

The previous prime is 14124351107. The next prime is 14124351191. The reversal of 14124351120 is 2115342141.

It is a super-2 number, since 2×141243511202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812439 + ... + 829641.

Almost surely, 214124351120 is an apocalyptic number.

14124351120 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 14124351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961180672).

14124351120 is an abundant number, since it is smaller than the sum of its proper divisors (33798010224).

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

14124351120 is a wasteful number, since it uses less digits than its factorization.

14124351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541 (or 17535 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14124351120 its reverse (2115342141), we get a palindrome (16239693261).

The spelling of 14124351120 in words is "fourteen billion, one hundred twenty-four million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 311 330 440 528 622 660 880 933 1244 1320 1555 1866 2488 2640 3110 3421 3732 4665 4976 6220 6842 7464 9330 10263 12440 13684 14928 17105 17203 18660 20526 24880 27368 34210 34406 37320 41052 51315 51609 54736 68420 68812 74640 82104 86015 102630 103218 136840 137624 164208 172030 189233 205260 206436 258045 273680 275248 344060 378466 410520 412872 516090 567699 688120 756932 821040 825744 946165 1032180 1135398 1376240 1513864 1892330 2064360 2270796 2838495 3027728 3784660 4128720 4541592 5350133 5676990 7569320 9083184 10700266 11353980 15138640 16050399 21400532 22707960 26750665 32100798 42801064 45415920 53501330 58851463 64201596 80251995 85602128 107002660 117702926 128403192 160503990 176554389 214005320 235405852 256806384 294257315 321007980 353108778 428010640 470811704 588514630 642015960 706217556 882771945 941623408 1177029260 1284031920 1412435112 1765543890 2354058520 2824870224 3531087780 4708117040 7062175560 14124351120