Search a number
-
+
145168298838 = 2328219823271
BaseRepresentation
bin1000011100110010110…
…1000111001101010110
3111212201000202122220200
42013030231013031112
54334301041030323
6150404524241330
713326256115643
oct2071455071526
9455630678820
10145168298838
11566247a15a2
12241746a0246
13108c65587a4
147051bbcdca
153b9981e443
hex21ccb47356

145168298838 has 24 divisors (see below), whose sum is σ = 314914453776. Its totient is φ = 48330488400.

The previous prime is 145168298833. The next prime is 145168298903. The reversal of 145168298838 is 838892861541.

145168298838 is a `hidden beast` number, since 1 + 4 + 516 + 8 + 2 + 9 + 88 + 38 = 666.

145168298838 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 (145168298833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4896858 + ... + 4926413.

It is an arithmetic number, because the mean of its divisors is an integer number (13121435574).

Almost surely, 2145168298838 is an apocalyptic number.

145168298838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

145168298838 is an abundant number, since it is smaller than the sum of its proper divisors (169746154938).

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

145168298838 is a wasteful number, since it uses less digits than its factorization.

145168298838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824100 (or 9824097 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 145168298838 in words is "one hundred forty-five billion, one hundred sixty-eight million, two hundred ninety-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 821 1642 2463 4926 7389 14778 9823271 19646542 29469813 58939626 88409439 176818878 8064905491 16129810982 24194716473 48389432946 72584149419 145168298838