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30341144004240 = 24351749115145733
BaseRepresentation
bin1101110011000010110010…
…00111000100011010010000
310222102120210111022202112010
412321201121013010122100
512434102130331113430
6144310310143102520
76251034555521646
oct671413107043220
9128376714282463
1030341144004240
119738674886743
1234a03978a1a40
1313c120833a3a4
1476c73a9b1196
153793995e8cb0
hex1b98591c4690

30341144004240 has 160 divisors (see below), whose sum is σ = 99793181506176. Its totient is φ = 7599522488320.

The previous prime is 30341144004173. The next prime is 30341144004313. The reversal of 30341144004240 is 4240044114303.

It is a super-2 number, since 2×303411440042402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30341144004198 and 30341144004207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5569587 + ... + 9576146.

Almost surely, 230341144004240 is an apocalyptic number.

30341144004240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30341144004240 is an abundant number, since it is smaller than the sum of its proper divisors (69452037501936).

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

30341144004240 is a wasteful number, since it uses less digits than its factorization.

30341144004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146257 (or 15146251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30341144004240 its reverse (4240044114303), we get a palindrome (34581188118543).

The spelling of 30341144004240 in words is "thirty trillion, three hundred forty-one billion, one hundred forty-four million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 491 510 680 816 982 1020 1360 1473 1964 2040 2455 2946 3928 4080 4910 5892 7365 7856 8347 9820 11784 14730 16694 19640 23568 25041 29460 33388 39280 41735 50082 58920 66776 83470 100164 117840 125205 133552 166940 200328 250410 333880 400656 500820 667760 1001640 2003280 15145733 30291466 45437199 60582932 75728665 90874398 121165864 151457330 181748796 227185995 242331728 257477461 302914660 363497592 454371990 514954922 605829320 726995184 772432383 908743980 1029909844 1211658640 1287387305 1544864766 1817487960 2059819688 2574774610 3089729532 3634975920 3862161915 4119639376 5149549220 6179459064 7436554903 7724323830 10299098440 12358918128 14873109806 15448647660 20598196880 22309664709 29746219612 30897295320 37182774515 44619329418 59492439224 61794590640 74365549030 89238658836 111548323545 118984878448 126421433351 148731098060 178477317672 223096647090 252842866702 297462196120 356954635344 379264300053 446193294180 505685733404 594924392240 632107166755 758528600106 892386588360 1011371466808 1264214333510 1517057200212 1784773176720 1896321500265 2022742933616 2528428667020 3034114400424 3792643000530 5056857334040 6068228800848 7585286001060 10113714668080 15170572002120 30341144004240