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145324542022341 = 311191391667464597
BaseRepresentation
bin100001000010110000000001…
…101101000101001011000101
3201001112220001012102121022220
4201002300001231011023011
5123021444130224203331
61233025101205242553
742416231424521253
oct4102600155051305
9631486035377286
10145324542022341
11423398794066a0
1214370a53103459
136312078ca8b76
1427c5a613c55d3
1511c0358c77296
hex842c01b452c5

145324542022341 has 32 divisors (see below), whose sum is σ = 224107241971200. Its totient is φ = 82839641129280.

The previous prime is 145324542022279. The next prime is 145324542022369. The reversal of 145324542022341 is 143220245423541.

It is not a de Polignac number, because 145324542022341 - 219 = 145324541498053 is a prime.

It is a super-2 number, since 2×1453245420223412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145324542022293 and 145324542022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145324542022241) 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, 833645146 + ... + 833819451.

It is an arithmetic number, because the mean of its divisors is an integer number (7003351311600).

Almost surely, 2145324542022341 is an apocalyptic number.

145324542022341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145324542022341 is a deficient number, since it is larger than the sum of its proper divisors (78782699948859).

145324542022341 is a wasteful number, since it uses less digits than its factorization.

145324542022341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667464769.

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 145324542022341 its reverse (143220245423541), we get a palindrome (288544787445882).

The spelling of 145324542022341 in words is "one hundred forty-five trillion, three hundred twenty-four billion, five hundred forty-two million, twenty-two thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 139 209 417 627 1529 2641 4587 7923 29051 87153 1667464597 5002393791 18342110567 31681827343 55026331701 95045482029 231777578983 348500100773 695332736949 1045500302319 2549553368813 4403774000677 7648660106439 13211322002031 48441514007447 145324542022341