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3040420030004 = 2273127110315451
BaseRepresentation
bin101100001111100111001…
…001111110011000110100
3101202122212002200112210102
4230033213021332120310
5344303240011430004
610244425533013232
7432443304562130
oct54174711763064
911678762615712
103040420030004
11a72486930555
12411306624218
13190930917a16
14a722b1a03c0
155414d04911e
hex2c3e727e634

3040420030004 has 144 divisors (see below), whose sum is σ = 6434100062208. Its totient is φ = 1231093080000.

The previous prime is 3040420029949. The next prime is 3040420030007. The reversal of 3040420030004 is 4000300240403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040420030007) 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 47 ways as a sum of consecutive naturals, for example, 196770479 + ... + 196785929.

It is an arithmetic number, because the mean of its divisors is an integer number (44681250432).

Almost surely, 23040420030004 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 3040420030004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217050031104).

3040420030004 is an abundant number, since it is smaller than the sum of its proper divisors (3393680032204).

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

3040420030004 is a wasteful number, since it uses less digits than its factorization.

3040420030004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15698 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3040420030004 its reverse (4000300240403), we get a palindrome (7040720270407).

The spelling of 3040420030004 in words is "three trillion, forty billion, four hundred twenty million, thirty thousand, four".

Divisors: 1 2 4 7 14 28 31 62 71 103 124 142 206 217 284 412 434 497 721 868 961 994 1442 1922 1988 2201 2884 3193 3844 4402 6386 6727 7313 8804 12772 13454 14626 15407 15451 22351 26908 29252 30814 30902 44702 51191 61628 61804 68231 89404 98983 102382 108157 136462 197966 204764 216314 226703 272924 395932 432628 453406 477617 478981 692881 906812 955234 957962 1097021 1385762 1586921 1591453 1910468 1915924 2194042 2771524 3173842 3182906 3352867 4388084 6347684 6365812 6705734 7027793 7679147 11140171 13411468 14055586 14848411 15358294 22280342 28111172 29696822 30716588 34007651 44560684 49194551 49335043 59393644 68015302 98389102 98670086 103938877 112993163 136030604 196778204 197340172 207877754 225986326 238053557 345345301 415755508 451972652 476107114 690690602 790952141 952214228 1054237181 1381381204 1529386333 1581904282 2108474362 3058772666 3163808564 3502788053 4216948724 6117545332 7005576106 7379660267 10705704331 14011152212 14759320534 21411408662 24519516371 29518641068 42822817324 49039032742 98078065484 108586429643 217172859286 434345718572 760105007501 1520210015002 3040420030004