Search a number
-
+
4156130631144 = 23341131307105023
BaseRepresentation
bin111100011110101100101…
…100001001110111101000
3112201022200220000112201110
4330132230230021313220
51021043223420144034
612501144451150320
7606161535322422
oct74365454116750
915638626015643
104156130631144
111362672433728
1257159b8a53a0
13241bc952078b
1410522cdc5812
157319cdc7de9
hex3c7acb09de8

4156130631144 has 128 divisors (see below), whose sum is σ = 10760036474880. Its totient is φ = 1336888051200.

The previous prime is 4156130631137. The next prime is 4156130631167. The reversal of 4156130631144 is 4411360316514.

It is a happy number.

It is an unprimeable number.

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, 39521017 + ... + 39626039.

It is an arithmetic number, because the mean of its divisors is an integer number (84062784960).

Almost surely, 24156130631144 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 4156130631144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380018237440).

4156130631144 is an abundant number, since it is smaller than the sum of its proper divisors (6603905843736).

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

4156130631144 is a wasteful number, since it uses less digits than its factorization.

4156130631144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105511 (or 105507 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 4156130631144 its reverse (4411360316514), we get a palindrome (8567490947658).

The spelling of 4156130631144 in words is "four trillion, one hundred fifty-six billion, one hundred thirty million, six hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 131 164 246 262 307 328 393 492 524 614 786 921 984 1048 1228 1572 1842 2456 3144 3684 5371 7368 10742 12587 16113 21484 25174 32226 37761 40217 42968 50348 64452 75522 80434 100696 105023 120651 128904 151044 160868 210046 241302 302088 315069 321736 420092 482604 630138 840184 965208 1260276 1648897 2520552 3297794 4305943 4946691 6595588 8611886 9893382 12917829 13191176 13758013 17223772 19786764 25835658 27516026 32242061 34447544 39573528 41274039 51671316 55032052 64484122 82548078 96726183 103342632 110064104 128968244 165096156 193452366 257936488 330192312 386904732 564078533 773809464 1128157066 1321924501 1692235599 2256314132 2643849002 3384471198 3965773503 4223709991 4512628264 5287698004 6768942396 7931547006 8447419982 10575396008 12671129973 13537884792 15863094012 16894839964 25342259946 31726188024 33789679928 50684519892 101369039784 173172109631 346344219262 519516328893 692688438524 1039032657786 1385376877048 2078065315572 4156130631144