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14334012244240 = 2451347293249023
BaseRepresentation
bin1101000010010110010110…
…1101010100000100010000
31212202022120221220000021021
43100211211231110010100
53334322024113303430
650252542044405224
73006412120523023
oct320454555240420
955668527800237
1014334012244240
114627025252447
12173603b846814
137cc8cb465560
14377aac8391ba
1519ccd957907a
hexd0965b54110

14334012244240 has 80 divisors (see below), whose sum is σ = 36653782007808. Its totient is φ = 5179950724608.

The previous prime is 14334012244177. The next prime is 14334012244243. The reversal of 14334012244240 is 4244221043341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14334012244196 and 14334012244205.

It is not an unprimeable number, because it can be changed into a prime (14334012244243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146575632 + ... + 146673391.

Almost surely, 214334012244240 is an apocalyptic number.

14334012244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334012244240 is an abundant number, since it is smaller than the sum of its proper divisors (22319769763568).

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

14334012244240 is a wasteful number, since it uses less digits than its factorization.

14334012244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293249096 (or 293249090 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14334012244240 its reverse (4244221043341), we get a palindrome (18578233287581).

The spelling of 14334012244240 in words is "fourteen trillion, three hundred thirty-four billion, twelve million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4888 6110 9776 12220 24440 48880 293249023 586498046 1172996092 1466245115 2345992184 2932490230 3812237299 4691984368 5864980460 7624474598 11729960920 13782704081 15248949196 19061186495 23459921840 27565408162 30497898392 38122372990 55130816324 60995796784 68913520405 76244745980 110261632648 137827040810 152489491960 179175153053 220523265296 275654081620 304978983920 358350306106 551308163240 716700612212 895875765265 1102616326480 1433401224424 1791751530530 2866802448848 3583503061060 7167006122120 14334012244240