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14531047740 = 223251137198349
BaseRepresentation
bin11011000100001111…
…00011000100111100
31101111200201201010100
431202013203010330
5214224422011430
610401522441100
71023043603446
oct154207430474
941450651110
1014531047740
116187441270
122996503190
1314a7644b01
149bbc31496
155a0a80960
hex3621e313c

14531047740 has 144 divisors (see below), whose sum is σ = 49384389600. Its totient is φ = 3427453440.

The previous prime is 14531047733. The next prime is 14531047747. The reversal of 14531047740 is 4774013541.

14531047740 is a `hidden beast` number, since 14 + 531 + 0 + 4 + 77 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14531047733) and next prime (14531047747).

It is a super-2 number, since 2×145310477402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14531047695 and 14531047704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14531047747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25915 + ... + 172434.

It is an arithmetic number, because the mean of its divisors is an integer number (342947150).

Almost surely, 214531047740 is an apocalyptic number.

14531047740 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 14531047740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692194800).

14531047740 is an abundant number, since it is smaller than the sum of its proper divisors (34853341860).

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

14531047740 is a wasteful number, since it uses less digits than its factorization.

14531047740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198412 (or 198407 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14531047740 in words is "fourteen billion, five hundred thirty-one million, forty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 198349 396698 595047 793396 991745 1190094 1785141 1983490 2181839 2380188 2975235 3570282 3966980 4363678 5950470 6545517 7140564 7338913 8727356 8925705 10909195 11900940 13091034 14677826 17851410 19636551 21818390 22016739 26182068 29355652 32727585 35702820 36694565 39273102 43636780 44033478 65455170 66050217 73389130 78546204 80728043 88066956 98182755 110083695 130910340 132100434 146778260 161456086 196365510 220167390 242184129 264200868 322912172 330251085 392731020 403640215 440334780 484368258 660502170 726552387 807280430 968736516 1210920645 1321004340 1453104774 1614560860 2421841290 2906209548 3632761935 4843682580 7265523870 14531047740