Search a number
-
+
14807744000 = 2953733053
BaseRepresentation
bin11011100101001110…
…00011111000000000
31102012222101100000222
431302213003320000
5220311240302000
610445205202212
71032643514210
oct156247037000
942188340028
1014807744000
116309649265
122a53100368
13151ca737ca
14a0689a240
155b9ed9a85
hex3729c3e00

14807744000 has 160 divisors (see below), whose sum is σ = 42200174016. Its totient is φ = 5076787200.

The previous prime is 14807743997. The next prime is 14807744047. The reversal of 14807744000 is 44770841.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431474 + ... + 464526.

Almost surely, 214807744000 is an apocalyptic number.

14807744000 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 14807744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100087008).

14807744000 is an abundant number, since it is smaller than the sum of its proper divisors (27392430016).

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

14807744000 is an frugal number, since it uses more digits than its factorization.

14807744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33093 (or 33067 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 14807744000 in words is "fourteen billion, eight hundred seven million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2560 2800 3200 3500 3584 4000 4480 5600 6400 7000 8000 8960 11200 12800 14000 16000 17920 22400 28000 32000 33053 44800 56000 64000 66106 89600 112000 132212 165265 224000 231371 264424 330530 448000 462742 528848 661060 826325 925484 1057696 1156855 1322120 1652650 1850968 2115392 2313710 2644240 3305300 3701936 4131625 4230784 4627420 5288480 5784275 6610600 7403872 8263250 8461568 9254840 10576960 11568550 13221200 14807744 16526500 16923136 18509680 21153920 23137100 26442400 28921375 29615488 33053000 37019360 42307840 46274200 52884800 57842750 59230976 66106000 74038720 84615680 92548400 105769600 115685500 118461952 132212000 148077440 185096800 211539200 231371000 264424000 296154880 370193600 423078400 462742000 528848000 592309760 740387200 925484000 1057696000 1480774400 1850968000 2115392000 2961548800 3701936000 7403872000 14807744000