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30414024043000 = 2353134395329249
BaseRepresentation
bin1101110101001010100010…
…00110010110100111111000
310222200112220121222022211221
412322211101012112213320
512441300410123334000
6144404002035201424
76256224603604033
oct672452106264770
9128615817868757
1030414024043000
119766573753534
1234b2537146274
1313c8051356b90
14772091cc401a
1537b2129a461a
hex1ba9511969f8

30414024043000 has 128 divisors (see below), whose sum is σ = 76817941200000. Its totient is φ = 11204210995200.

The previous prime is 30414024042973. The next prime is 30414024043001. The reversal of 30414024043000 is 34042041403.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30414024043001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042376 + ... + 8371624.

It is an arithmetic number, because the mean of its divisors is an integer number (600140165625).

Almost surely, 230414024043000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414024043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38408970600000).

30414024043000 is an abundant number, since it is smaller than the sum of its proper divisors (46403917157000).

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

30414024043000 is a wasteful number, since it uses less digits than its factorization.

30414024043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329722 (or 5329708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30414024043000 its reverse (34042041403), we get a palindrome (30448066084403).

The spelling of 30414024043000 in words is "thirty trillion, four hundred fourteen billion, twenty-four million, forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 439 500 520 650 878 1000 1300 1625 1756 2195 2600 3250 3512 4390 5707 6500 8780 10975 11414 13000 17560 21950 22828 28535 43900 45656 54875 57070 87800 109750 114140 142675 219500 228280 285350 439000 570700 713375 1141400 1426750 2853500 5329249 5707000 10658498 21316996 26646245 42633992 53292490 69280237 106584980 133231225 138560474 213169960 266462450 277120948 346401185 532924900 554241896 666156125 692802370 1065849800 1332312250 1385604740 1732005925 2339540311 2664624500 2771209480 3464011850 4679080622 5329249000 6928023700 8660029625 9358161244 11697701555 13856047400 17320059250 18716322488 23395403110 30414024043 34640118500 46790806220 58488507775 60828048086 69280237000 93581612440 116977015550 121656096172 152070120215 233954031100 243312192344 292442538875 304140240430 467908062200 584885077750 608280480860 760350601075 1169770155500 1216560961720 1520701202150 2339540311000 3041402404300 3801753005375 6082804808600 7603506010750 15207012021500 30414024043000