Search a number
-
+
145514341441212 = 223231577949422459
BaseRepresentation
bin100001000101100000110010…
…101000011001111010111100
3201002020000221122112002010020
4201011200302220121322330
5123033101332402104322
61233252210545412140
742436031014125552
oct4105406250317274
9632200848462106
10145514341441212
1142402316213257
12143a17a263a050
136326c35babc03
1427d0d0884dbd2
1511c526691c05c
hex845832a19ebc

145514341441212 has 96 divisors (see below), whose sum is σ = 356598148032000. Its totient is φ = 46094453213952.

The previous prime is 145514341441123. The next prime is 145514341441237. The reversal of 145514341441212 is 212144143415541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344234839 + ... + 344657297.

It is an arithmetic number, because the mean of its divisors is an integer number (3714564042000).

Almost surely, 2145514341441212 is an apocalyptic number.

145514341441212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145514341441212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178299074016000).

145514341441212 is an abundant number, since it is smaller than the sum of its proper divisors (211083806590788).

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

145514341441212 is a wasteful number, since it uses less digits than its factorization.

145514341441212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430595 (or 430593 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

Adding to 145514341441212 its reverse (212144143415541), we get a palindrome (357658484856753).

The spelling of 145514341441212 in words is "one hundred forty-five trillion, five hundred fourteen billion, three hundred forty-one million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 276 314 471 628 942 1884 3611 7222 7949 10833 14444 15898 21666 23847 31796 43332 47694 95388 182827 365654 422459 548481 731308 844918 1096962 1247993 1267377 1689836 2193924 2495986 2534754 3743979 4991972 5069508 7487958 9716557 14975916 19433114 28703839 29149671 38866228 57407678 58299342 66326063 86111517 114815356 116598684 132652126 172223034 198978189 265304252 344446068 397956378 795912756 1525499449 3050998898 3358126591 4576498347 6101997796 6716253182 9152996694 10074379773 13432506364 18305993388 20148759546 40297519092 77236911593 154473823186 231710734779 308947646372 463421469558 527225874787 926842939116 1054451749574 1581677624361 2108903499148 3163355248722 6326710497444 12126195120101 24252390240202 36378585360303 48504780480404 72757170720606 145514341441212