Search a number
-
+
4274043315612 = 2237323131344639
BaseRepresentation
bin111110001100100000110…
…101010110010110011100
3120010121001102112112121020
4332030200311112112130
51030011220042044422
613031245101204140
7620534530521000
oct76144065262634
916117042475536
104274043315612
1113a8680033794
12590408560650
1325006b13b6a5
1410ac17024700
157629e9be95c
hex3e320d5659c

4274043315612 has 192 divisors, whose sum is σ = 12228378624000. Its totient is φ = 1159141663680.

The previous prime is 4274043315601. The next prime is 4274043315617. The reversal of 4274043315612 is 2165133404724.

4274043315612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274043315617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12229189 + ... + 12573827.

It is an arithmetic number, because the mean of its divisors is an integer number (63689472000).

Almost surely, 24274043315612 is an apocalyptic number.

4274043315612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274043315612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114189312000).

4274043315612 is an abundant number, since it is smaller than the sum of its proper divisors (7954335308388).

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

4274043315612 is a wasteful number, since it uses less digits than its factorization.

4274043315612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344821 (or 344805 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 4274043315612 in words is "four trillion, two hundred seventy-four billion, forty-three million, three hundred fifteen thousand, six hundred twelve".