Search a number
-
+
4653113420142 = 23211172372197753
BaseRepresentation
bin100001110110110001100…
…1011000010100101101110
3121110211111110211001120100
41003231203023002211232
51102214034013421032
613521335533131530
7660114326324415
oct103554313024556
917424443731510
104653113420142
111534413245910
1263197a329ba6
13279a2c53c1a5
141212d760247c
1581088bb797c
hex43b632c296e

4653113420142 has 144 divisors (see below), whose sum is σ = 11999051140752. Its totient is φ = 1291223255040.

The previous prime is 4653113420083. The next prime is 4653113420177. The reversal of 4653113420142 is 2410243113564.

4653113420142 is a `hidden beast` number, since 4 + 65 + 31 + 1 + 3 + 420 + 142 = 666.

It is a super-2 number, since 2×46531134201422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4653113420097 and 4653113420106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1018338 + ... + 3216090.

It is an arithmetic number, because the mean of its divisors is an integer number (83326744033).

Almost surely, 24653113420142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4653113420142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999525570376).

4653113420142 is an abundant number, since it is smaller than the sum of its proper divisors (7345937720610).

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

4653113420142 is a wasteful number, since it uses less digits than its factorization.

4653113420142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197843 (or 2197823 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4653113420142 in words is "four trillion, six hundred fifty-three billion, one hundred thirteen million, four hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 37 51 66 74 99 102 111 153 187 198 222 289 306 333 374 407 561 578 629 666 814 867 1122 1221 1258 1683 1734 1887 2442 2601 3179 3366 3663 3774 5202 5661 6358 6919 7326 9537 10693 11322 13838 19074 20757 21386 28611 32079 41514 57222 62271 64158 96237 117623 124542 192474 235246 352869 705738 1058607 2117214 2197753 4395506 6593259 13186518 19779777 24175283 37361801 39559554 48350566 72525849 74723602 81316861 112085403 145051698 162633722 217577547 224170806 243950583 336256209 410979811 435155094 487901166 635150617 672512418 731851749 821959622 894485471 1232939433 1270301234 1382386637 1463703498 1788970942 1905451851 2465878866 2683456413 2764773274 3698818299 3810903702 4147159911 5366912826 5716355553 6986656787 7397636598 8050369239 8294319822 11432711106 12441479733 13973313574 15206253007 16100738478 20959970361 23500572829 24882959466 30412506014 41919940722 45618759021 47001145658 62879911083 70501718487 91237518042 125759822166 136856277063 141003436974 211505155461 258506301119 273712554126 423010310922 517012602238 775518903357 1551037806714 2326556710071 4653113420142