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30140055120 = 2435761729077
BaseRepresentation
bin11100000100011111…
…001011111001010000
32212210111211102212210
4130010133023321100
5443211323230440
621502433552120
72114620145550
oct340437137120
985714742783
1030140055120
111186730356a
125a11a15640
132ac43c1556
14165cca5160
15bb6091a80
hex7047cbe50

30140055120 has 160 divisors (see below), whose sum is σ = 106958654208. Its totient is φ = 6877753344.

The previous prime is 30140055119. The next prime is 30140055137. The reversal of 30140055120 is 2155004103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1022022 + ... + 1051098.

Almost surely, 230140055120 is an apocalyptic number.

30140055120 is a gapful number since it is divisible by the number (30) 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 30140055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53479327104).

30140055120 is an abundant number, since it is smaller than the sum of its proper divisors (76818599088).

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

30140055120 is a wasteful number, since it uses less digits than its factorization.

30140055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29717 (or 29711 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 30140055120 its reverse (2155004103), we get a palindrome (32295059223).

The spelling of 30140055120 in words is "thirty billion, one hundred forty million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 617 840 1234 1680 1851 2468 3085 3702 4319 4936 6170 7404 8638 9255 9872 12340 12957 14808 17276 18510 21595 24680 25914 29077 29616 34552 37020 43190 49360 51828 58154 64785 69104 74040 86380 87231 103656 116308 129570 145385 148080 172760 174462 203539 207312 232616 259140 290770 345520 348924 407078 436155 465232 518280 581540 610617 697848 814156 872310 1017695 1036560 1163080 1221234 1395696 1628312 1744620 2035390 2326160 2442468 3053085 3256624 3489240 4070780 4884936 6106170 6978480 8141560 9769872 12212340 16283120 17940509 24424680 35881018 48849360 53821527 71762036 89702545 107643054 125583563 143524072 179405090 215286108 251167126 269107635 287048144 358810180 376750689 430572216 502334252 538215270 627917815 717620360 753501378 861144432 1004668504 1076430540 1255835630 1435240720 1507002756 1883753445 2009337008 2152861080 2511671260 3014005512 3767506890 4305722160 5023342520 6028011024 7535013780 10046685040 15070027560 30140055120