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14816131740 = 22335173158597
BaseRepresentation
bin11011100110001110…
…00011101010011100
31102020120011110212000
431303013003222130
5220320412203430
610450105042300
71033105020234
oct156307035234
942216143760
1014816131740
116313358083
122a55a86390
13152171c577
14a07a40cc4
155baae4e60
hex3731c3a9c

14816131740 has 96 divisors (see below), whose sum is σ = 46361367360. Its totient is φ = 3928105728.

The previous prime is 14816131727. The next prime is 14816131751. The reversal of 14816131740 is 4713161841.

14816131740 is a `hidden beast` number, since 1 + 481 + 6 + 1 + 3 + 174 + 0 = 666.

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 = 14816131695 and 14816131704.

It is a congruent number.

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, 14122 + ... + 172718.

It is an arithmetic number, because the mean of its divisors is an integer number (482930910).

Almost surely, 214816131740 is an apocalyptic number.

14816131740 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 14816131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23180683680).

14816131740 is an abundant number, since it is smaller than the sum of its proper divisors (31545235620).

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

14816131740 is a wasteful number, since it uses less digits than its factorization.

14816131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158788 (or 158780 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14816131740 in words is "fourteen billion, eight hundred sixteen million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 23355 31140 46710 93420 158597 317194 475791 634388 792985 951582 1427373 1585970 1903164 2378955 2854746 3171940 4282119 4757910 5709492 7136865 8564238 9515820 14273730 17128476 21410595 27437281 28547460 42821190 54874562 82311843 85642380 109749124 137186405 164623686 246935529 274372810 329247372 411559215 493871058 548745620 740806587 823118430 987742116 1234677645 1481613174 1646236860 2469355290 2963226348 3704032935 4938710580 7408065870 14816131740