Search a number
-
+
4121214133302 = 232767641761591
BaseRepresentation
bin111011111110001011100…
…000010010010000110110
3112120222120111110200012200
4323332023200102100312
51020010221304231202
612433132025325330
7603514346066550
oct73761340222066
915528514420180
104121214133302
111349884a36042
12566876336846
1323b8236b5276
14103679a144d0
157230783de1c
hex3bf8b812436

4121214133302 has 96 divisors (see below), whose sum is σ = 10373394829824. Its totient is φ = 1158104217600.

The previous prime is 4121214133297. The next prime is 4121214133303. The reversal of 4121214133302 is 2033314121214.

4121214133302 is a `hidden beast` number, since 4 + 1 + 212 + 1 + 413 + 3 + 30 + 2 = 666.

4121214133302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121214133303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5030527 + ... + 5792117.

It is an arithmetic number, because the mean of its divisors is an integer number (108056196144).

Almost surely, 24121214133302 is an apocalyptic number.

4121214133302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121214133302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186697414912).

4121214133302 is an abundant number, since it is smaller than the sum of its proper divisors (6252180696522).

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

4121214133302 is a wasteful number, since it uses less digits than its factorization.

4121214133302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762314 (or 762311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4121214133302 its reverse (2033314121214), we get a palindrome (6154528254516).

The spelling of 4121214133302 in words is "four trillion, one hundred twenty-one billion, two hundred fourteen million, one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 641 938 1206 1282 1407 1923 2814 3846 4221 4487 5769 8442 8974 11538 13461 26922 40383 42947 80766 85894 128841 257682 300629 386523 601258 761591 773046 901887 1523182 1803774 2284773 2705661 4569546 5331137 5411322 6854319 10662274 13708638 15993411 31986822 47980233 51026597 95960466 102053194 153079791 306159582 357186179 459239373 488179831 714372358 918478746 976359662 1071558537 1464539493 2143117074 2929078986 3214675611 3417258817 4393618479 6429351222 6834517634 8787236958 10251776451 20503552902 30755329353 32708048677 61510658706 65416097354 98124146031 196248292062 228956340739 294372438093 457912681478 588744876186 686869022217 1373738044434 2060607066651 4121214133302