Search a number
-
+
4640340202542 = 23311241206915667
BaseRepresentation
bin100001110000110100111…
…0101000101010000101110
3121102121112021202101002000
41003201221311011100232
51102011404042440132
613511424242513130
7656152645632102
oct103415165052056
917377467671060
104640340202542
111529a59086430
1262b3b46657a6
13278775141075
1412084502b902
1580a8c61087c
hex43869d4542e

4640340202542 has 128 divisors (see below), whose sum is σ = 11302168204800. Its totient is φ = 1399562841600.

The previous prime is 4640340202523. The next prime is 4640340202601. The reversal of 4640340202542 is 2452020430464.

4640340202542 is a `hidden beast` number, since 4 + 6 + 40 + 340 + 20 + 254 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4640340202497 and 4640340202506.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 296177793 + ... + 296193459.

It is an arithmetic number, because the mean of its divisors is an integer number (88298189100).

Almost surely, 24640340202542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640340202542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651084102400).

4640340202542 is an abundant number, since it is smaller than the sum of its proper divisors (6661828002258).

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

4640340202542 is a wasteful number, since it uses less digits than its factorization.

4640340202542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 4640340202542 in words is "four trillion, six hundred forty billion, three hundred forty million, two hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2069 2169 2651 4138 4338 5302 6207 6507 7953 12414 13014 15667 15906 18621 22759 23859 31334 37242 45518 47001 47718 55863 68277 71577 94002 111726 136554 141003 143154 172337 204831 282006 344674 409662 423009 498629 517011 614493 846018 997258 1034022 1228986 1495887 1551033 2991774 3102066 3775747 4487661 4653099 5484919 7551494 8975322 9306198 10969838 11327241 13462983 16454757 22654482 26925966 32415023 32909514 33981723 41533217 49364271 64830046 67963446 83066434 97245069 98728542 101945169 124599651 148092813 194490138 203890338 249199302 291735207 296185626 356565253 373798953 583470414 713130506 747597906 875205621 1069695759 1121396859 1750411242 2139391518 2242793718 3209087277 6418174554 7812020543 9627261831 15624041086 19254523662 23436061629 46872123258 70308184887 85932225973 140616369774 171864451946 210924554661 257796677919 421849109322 515593355838 773390033757 1546780067514 2320170101271 4640340202542