Search a number
-
+
14482222016000 = 2953534269523
BaseRepresentation
bin1101001010111110011110…
…1100101110011000000000
31220021111010221201111200012
43102233213230232120000
53344234042314003000
650445012502244052
73023206651015664
oct322574754563000
956244127644605
1014482222016000
11468396a860622
12175a902a26628
1381088ab6665b
14380d2c5388a4
151a1ab0dd0735
hexd2be7b2e600

14482222016000 has 160 divisors (see below), whose sum is σ = 36793698990048. Its totient is φ = 5683587686400.

The previous prime is 14482222015957. The next prime is 14482222016033. The reversal of 14482222016000 is 61022228441.

14482222016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (32).

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, 1257239 + ... + 5526761.

Almost surely, 214482222016000 is an apocalyptic number.

14482222016000 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 14482222016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396849495024).

14482222016000 is an abundant number, since it is smaller than the sum of its proper divisors (22311476974048).

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

14482222016000 is an frugal number, since it uses more digits than its factorization.

14482222016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269609 (or 4269583 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 14482222016000 in words is "fourteen trillion, four hundred eighty-two billion, two hundred twenty-two million, sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 160 200 212 250 256 265 320 400 424 500 512 530 640 800 848 1000 1060 1280 1325 1600 1696 2000 2120 2560 2650 3200 3392 4000 4240 5300 6400 6625 6784 8000 8480 10600 12800 13250 13568 16000 16960 21200 26500 27136 32000 33920 42400 53000 64000 67840 84800 106000 135680 169600 212000 339200 424000 678400 848000 1696000 3392000 4269523 8539046 17078092 21347615 34156184 42695230 68312368 85390460 106738075 136624736 170780920 213476150 226284719 273249472 341561840 426952300 452569438 533690375 546498944 683123680 853904600 905138876 1067380750 1092997888 1131423595 1366247360 1707809200 1810277752 2134761500 2185995776 2262847190 2732494720 3415618400 3620555504 4269523000 4525694380 5464989440 5657117975 6831236800 7241111008 8539046000 9051388760 10929978880 11314235950 13662473600 14482222016 17078092000 18102777520 22628471900 27324947200 28285589875 28964444032 34156184000 36205555040 45256943800 54649894400 56571179750 57928888064 68312368000 72411110080 90513887600 113142359500 115857776128 136624736000 144822220160 181027775200 226284719000 273249472000 289644440320 362055550400 452569438000 579288880640 724111100800 905138876000 1448222201600 1810277752000 2896444403200 3620555504000 7241111008000 14482222016000