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214739340030 = 23355478391733
BaseRepresentation
bin1100011111111101110…
…1100100101011111110
3202112021112221201221000
43013333131210223332
512004241232340110
6242352213151130
721341304162555
oct3077735445376
9675245851830
10214739340030
1183085839556
123574b92b4a6
1317332b62757
14a571852d9c
1558bc44b1c0
hex31ff764afe

214739340030 has 128 divisors (see below), whose sum is σ = 574700313600. Its totient is φ = 57058065792.

The previous prime is 214739340007. The next prime is 214739340043. The reversal of 214739340030 is 30043937412.

214739340030 is a `hidden beast` number, since 214 + 7 + 3 + 9 + 3 + 400 + 30 = 666.

It is a super-2 number, since 2×2147393400302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123911044 + ... + 123912776.

It is an arithmetic number, because the mean of its divisors is an integer number (4489846200).

Almost surely, 2214739340030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214739340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287350156800).

214739340030 is an abundant number, since it is smaller than the sum of its proper divisors (359960973570).

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

214739340030 is a wasteful number, since it uses less digits than its factorization.

214739340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 214739340030 in words is "two hundred fourteen billion, seven hundred thirty-nine million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 547 839 1094 1641 1678 1733 2517 2735 3282 3466 4195 4923 5034 5199 5470 7551 8205 8390 8665 9846 10398 12585 14769 15102 15597 16410 17330 22653 24615 25170 25995 29538 31194 37755 45306 46791 49230 51990 73845 75510 77985 93582 113265 147690 155970 226530 233955 458933 467910 917866 947951 1376799 1453987 1895902 2294665 2753598 2843853 2907974 4130397 4361961 4589330 4739755 5687706 6883995 7269935 8260794 8531559 8723922 9479510 12391191 13085883 13767990 14219265 14539870 17063118 20651985 21809805 24782382 25594677 26171766 28438530 39257649 41303970 42657795 43619610 51189354 61955955 65429415 78515298 85315590 123911910 127973385 130858830 196288245 255946770 392576490 795330889 1590661778 2385992667 3976654445 4771985334 7157978001 7953308890 11929963335 14315956002 21473934003 23859926670 35789890005 42947868006 71579780010 107369670015 214739340030