Search a number
-
+
144514202205534 = 2372759416472721
BaseRepresentation
bin100000110110111101010101…
…101011111111110101011110
3200221200102102020002202012020
4200312331111223333311132
5122420210041231034114
61231204524042521010
742303543435651600
oct4066752553776536
9627612366082166
10144514202205534
1142057146738557
121425b9a1b06166
136283827b12bc5
14279874bb21170
1511a922cd50aa9
hex836f55affd5e

144514202205534 has 48 divisors (see below), whose sum is σ = 336221194620816. Its totient is φ = 41289221971200.

The previous prime is 144514202205521. The next prime is 144514202205557. The reversal of 144514202205534 is 435502202415441.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19090294 + ... + 25563014.

It is an arithmetic number, because the mean of its divisors is an integer number (7004608221267).

Almost surely, 2144514202205534 is an apocalyptic number.

144514202205534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144514202205534 is an abundant number, since it is smaller than the sum of its proper divisors (191706992415282).

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

144514202205534 is a wasteful number, since it uses less digits than its factorization.

144514202205534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548681 (or 6548674 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 144514202205534 in words is "one hundred forty-four trillion, five hundred fourteen billion, two hundred two million, two hundred five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 75941 151882 227823 455646 531587 1063174 1594761 3189522 3721109 6472721 7442218 11163327 12945442 19418163 22326654 38836326 45309047 90618094 135927141 271854282 317163329 634326658 951489987 1902979974 491544905461 983089810922 1474634716383 2949269432766 3440814338227 6881628676454 10322443014681 20644886029362 24085700367589 48171400735178 72257101102767 144514202205534