Search a number
-
+
304023114233140 = 225379713731398773
BaseRepresentation
bin100010100100000011110010…
…1101110100011010100110100
31110212110022210120010222210011
41011020013211232203110310
5304322103314220430030
62554334142432310004
7121015642121305051
oct10510074556432464
91425408716128704
10304023114233140
118896452a133605
122a1218719a2304
1310084344b47783
145510b238bc028
152523513b90b2a
hex11481e5ba3534

304023114233140 has 192 divisors, whose sum is σ = 669437965594944. Its totient is φ = 115875353198592.

The previous prime is 304023114233129. The next prime is 304023114233147. The reversal of 304023114233140 is 41332411320403.

It can be written as a sum of positive squares in 32 ways, for example, as 171868638977424 + 132154475255716 = 13109868^2 + 11495846^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304023114233147) 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, 3077948794 + ... + 3078047566.

It is an arithmetic number, because the mean of its divisors is an integer number (3486656070807).

Almost surely, 2304023114233140 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 304023114233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334718982797472).

304023114233140 is an abundant number, since it is smaller than the sum of its proper divisors (365414851361804).

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

304023114233140 is a wasteful number, since it uses less digits than its factorization.

304023114233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99366 (or 99364 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 304023114233140 its reverse (41332411320403), we get a palindrome (345355525553543).

The spelling of 304023114233140 in words is "three hundred four trillion, twenty-three billion, one hundred fourteen million, two hundred thirty-three thousand, one hundred forty".