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145436013126 = 232478310120507
BaseRepresentation
bin1000011101110010101…
…0010111001001000110
3111220101200111221212200
42013130222113021012
54340323104410001
6150451250255330
713336016500035
oct2073452271106
9456350457780
10145436013126
1156751924278
122422a287546
1310939b61101
14707958a71c
153bb30a2086
hex21dca97246

145436013126 has 96 divisors (see below), whose sum is σ = 328933882368. Its totient is φ = 46409179200.

The previous prime is 145436013059. The next prime is 145436013127. The reversal of 145436013126 is 621310634541.

145436013126 is a `hidden beast` number, since 1 + 4 + 5 + 43 + 601 + 3 + 1 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145436013127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7081765 + ... + 7102271.

It is an arithmetic number, because the mean of its divisors is an integer number (3426394608).

Almost surely, 2145436013126 is an apocalyptic number.

145436013126 is an abundant number, since it is smaller than the sum of its proper divisors (183497869242).

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

145436013126 is a wasteful number, since it uses less digits than its factorization.

145436013126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20746 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 145436013126 its reverse (621310634541), we get a palindrome (766746647667).

The spelling of 145436013126 in words is "one hundred forty-five billion, four hundred thirty-six million, thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 47 83 94 101 141 166 202 249 282 303 423 498 606 747 846 909 1494 1818 3901 4747 7802 8383 9494 11703 14241 16766 20507 23406 25149 28482 35109 41014 42723 50298 61521 70218 75447 85446 123042 150894 184563 369126 394001 788002 963829 1182003 1702081 1927658 2071207 2364006 2891487 3404162 3546009 4142414 5106243 5782974 6213621 7092018 8674461 10212486 12427242 15318729 17348922 18640863 30637458 37281726 79997807 97346729 159995614 171910181 194693458 239993421 292040187 343820362 479986842 515730543 584080374 719980263 876120561 1031461086 1439960526 1547191629 1752241122 3094383258 8079778507 16159557014 24239335521 48478671042 72718006563 145436013126