Search a number
-
+
145526326134 = 23738322514019
BaseRepresentation
bin1000011110001000001…
…0111000001101110110
3111220121222110100000220
42013202002320031312
54341014214414014
6150504234115210
713341164235210
oct2074202701566
9456558410026
10145526326134
11567988a9822
122425457bb06
1310952792667
1470875795b0
153bbae916a9
hex21e20b8376

145526326134 has 64 divisors (see below), whose sum is σ = 333731266560. Its totient is φ = 41441652000.

The previous prime is 145526326111. The next prime is 145526326139. The reversal of 145526326134 is 431623625541.

145526326134 is digitally balanced in base 3, 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145526326139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36207577 + ... + 36211595.

It is an arithmetic number, because the mean of its divisors is an integer number (5214551040).

Almost surely, 2145526326134 is an apocalyptic number.

145526326134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145526326134 is an abundant number, since it is smaller than the sum of its proper divisors (188204940426).

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

145526326134 is a wasteful number, since it uses less digits than its factorization.

145526326134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665.

The product of its digits is 518400, while the sum is 42.

The spelling of 145526326134 in words is "one hundred forty-five billion, five hundred twenty-six million, three hundred twenty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 383 766 1149 2251 2298 2681 4019 4502 5362 6753 8038 8043 12057 13506 15757 16086 24114 28133 31514 47271 56266 84399 94542 168798 862133 1539277 1724266 2586399 3078554 4617831 5172798 6034931 9046769 9235662 10774939 12069862 18093538 18104793 21549878 27140307 32324817 36209586 54280614 63327383 64649634 126654766 189982149 379964298 3464912527 6929825054 10394737581 20789475162 24254387689 48508775378 72763163067 145526326134