Search a number
-
+
4350114142116 = 2236764320034201
BaseRepresentation
bin111111010011010111000…
…000100001011110100100
3120101212101221012220211220
4333103113000201132210
51032233013210021431
613130225335100340
7626166612054201
oct77232700413644
916355357186756
104350114142116
111427967031646
125a30b85116b0
132572a221c872
14110792004ca8
1578253058b96
hex3f4d70217a4

4350114142116 has 96 divisors (see below), whose sum is σ = 10325392670208. Its totient is φ = 1425122899200.

The previous prime is 4350114142103. The next prime is 4350114142117. The reversal of 4350114142116 is 6112414110534.

4350114142116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4350114142117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035492816 + ... + 1035497016.

It is an arithmetic number, because the mean of its divisors is an integer number (107556173648).

Almost surely, 24350114142116 is an apocalyptic number.

It is an amenable number.

4350114142116 is an abundant number, since it is smaller than the sum of its proper divisors (5975278528092).

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

4350114142116 is a wasteful number, since it uses less digits than its factorization.

4350114142116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 4350114142116 in words is "four trillion, three hundred fifty billion, one hundred fourteen million, one hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 643 804 1286 1929 2003 2572 3858 4006 4201 6009 7716 8012 8402 12018 12603 16804 24036 25206 43081 50412 86162 129243 134201 172324 258486 268402 281467 402603 516972 536804 562934 805206 844401 1125868 1287929 1610412 1688802 2575858 2701243 3377604 3863787 5151716 5402486 7727574 8103729 8414603 10804972 15455148 16207458 16829206 25243809 32414916 33658412 50487618 86291243 100975236 172582486 180983281 258873729 345164972 361966562 517747458 542949843 563778401 723933124 1035494916 1085899686 1127556802 1691335203 2171799372 2255113604 3382670406 5410589729 6765340812 10821179458 16231769187 21642358916 32463538374 64927076748 362509511843 725019023686 1087528535529 1450038047372 2175057071058 4350114142116