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14730034000 = 245311897523
BaseRepresentation
bin11011011011111101…
…00111101101010000
31102000120011020221211
431231332213231100
5220131342042000
610433351425504
71031011136353
oct155576475520
942016136854
1014730034000
1162797a1620
122a31085294
131509935866
149da42c29a
155b32897ba
hex36dfa7b50

14730034000 has 160 divisors (see below), whose sum is σ = 39296949120. Its totient is φ = 5295488000.

The previous prime is 14730033971. The next prime is 14730034001. The reversal of 14730034000 is 43003741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14730034001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954239 + ... + 1961761.

It is an arithmetic number, because the mean of its divisors is an integer number (245605932).

Almost surely, 214730034000 is an apocalyptic number.

14730034000 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 14730034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648474560).

14730034000 is an abundant number, since it is smaller than the sum of its proper divisors (24566915120).

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

14730034000 is a wasteful number, since it uses less digits than its factorization.

14730034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

Adding to 14730034000 its reverse (43003741), we get a palindrome (14773037741).

The spelling of 14730034000 in words is "fourteen billion, seven hundred thirty million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 89 100 110 125 176 178 200 220 250 275 356 400 440 445 500 550 712 880 890 979 1000 1100 1375 1424 1780 1958 2000 2200 2225 2750 3560 3916 4400 4450 4895 5500 7120 7523 7832 8900 9790 11000 11125 15046 15664 17800 19580 22000 22250 24475 30092 35600 37615 39160 44500 48950 60184 75230 78320 82753 89000 97900 120368 122375 150460 165506 178000 188075 195800 244750 300920 331012 376150 391600 413765 489500 601840 662024 669547 752300 827530 940375 979000 1324048 1339094 1504600 1655060 1880750 1958000 2068825 2678188 3009200 3310120 3347735 3761500 4137650 5356376 6620240 6695470 7365017 7523000 8275300 10344125 10712752 13390940 14730034 15046000 16550600 16738675 20688250 26781880 29460068 33101200 33477350 36825085 41376500 53563760 58920136 66954700 73650170 82753000 83693375 117840272 133909400 147300340 165506000 167386750 184125425 267818800 294600680 334773500 368250850 589201360 669547000 736501700 920627125 1339094000 1473003400 1841254250 2946006800 3682508500 7365017000 14730034000