Search a number
-
+
145343331442441 = 11372113787108529
BaseRepresentation
bin100001000011000001100001…
…101001000001111100001001
3201001121200112200001001011001
4201003001201221001330021
5123022301120322124231
61233041445451535001
742420465150123556
oct4103014151017411
9631550480031131
10145343331442441
1142346840563060
121437461775a461
136313a81926822
1427c69249c5a2d
1511c0aa85b7b61
hex843061a41f09

145343331442441 has 48 divisors (see below), whose sum is σ = 164610000152640. Its totient is φ = 127258439454720.

The previous prime is 145343331442427. The next prime is 145343331442447. The reversal of 145343331442441 is 144244133343541.

It is not a de Polignac number, because 145343331442441 - 29 = 145343331441929 is a prime.

It is a super-2 number, since 2×1453433314424412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145343331442391 and 145343331442400.

It is not an unprimeable number, because it can be changed into a prime (145343331442447) 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 47 ways as a sum of consecutive naturals, for example, 1339157665 + ... + 1339266193.

It is an arithmetic number, because the mean of its divisors is an integer number (3429375003180).

Almost surely, 2145343331442441 is an apocalyptic number.

145343331442441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145343331442441 is a deficient number, since it is larger than the sum of its proper divisors (19266668710199).

145343331442441 is a wasteful number, since it uses less digits than its factorization.

145343331442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109514 (or 109477 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 46.

Adding to 145343331442441 its reverse (144244133343541), we get a palindrome (289587464785982).

The spelling of 145343331442441 in words is "one hundred forty-five trillion, three hundred forty-three billion, three hundred thirty-one million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 11 37 113 407 787 1243 1369 4181 8657 15059 29119 45991 88931 108529 154697 320309 978241 1077403 1193819 1701667 3290447 4015573 11851433 12263777 36194917 44171303 85412323 121746539 134901547 148576201 453759749 939535553 1339211929 1634338211 3160255951 4991357239 9651592499 16789110713 34762815461 106167517489 116929470187 184680217843 357108922463 1286224172057 3928198147093 13213030131131 145343331442441