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145431441434415 = 351931157104846057
BaseRepresentation
bin100001000100010011100101…
…011001111110011100101111
3201001221002222012112101200010
4201010103211121332130233
5123030222043001400130
61233150140514504303
742430034456524623
oct4104234531763457
9631832865471603
10145431441434415
1142380145333144
1214389707595093
13631c184003256
1427cacc289b183
1511c3013a5c0b0
hex8444e567e72f

145431441434415 has 64 divisors (see below), whose sum is σ = 254448801239040. Its totient is φ = 70657854059520.

The previous prime is 145431441434413. The next prime is 145431441434497. The reversal of 145431441434415 is 514434144134541.

It is not a de Polignac number, because 145431441434415 - 21 = 145431441434413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145431441434413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51035934 + ... + 53810123.

It is an arithmetic number, because the mean of its divisors is an integer number (3975762519360).

Almost surely, 2145431441434415 is an apocalyptic number.

145431441434415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145431441434415 is a deficient number, since it is larger than the sum of its proper divisors (109017359804625).

145431441434415 is a wasteful number, since it uses less digits than its factorization.

145431441434415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104846272.

The product of its digits is 3686400, while the sum is 48.

Adding to 145431441434415 its reverse (514434144134541), we get a palindrome (659865585568956).

The spelling of 145431441434415 in words is "one hundred forty-five trillion, four hundred thirty-one billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred fifteen".

Divisors: 1 3 5 15 19 31 57 93 95 155 157 285 465 471 589 785 1767 2355 2945 2983 4867 8835 8949 14601 14915 24335 44745 73005 92473 277419 462365 1387095 104846057 314538171 524230285 1572690855 1992075083 3250227767 5976225249 9750683301 9960375415 16251138835 16460830949 29881126245 48753416505 49382492847 61754327573 82304154745 185262982719 246912464235 308771637865 312755788031 510285759419 926314913595 938267364093 1530857278257 1563778940155 2551428797095 4691336820465 7654286391285 9695429428961 29086288286883 48477147144805 145431441434415