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145035042002144 = 2571095940163909
BaseRepresentation
bin100000111110100010011010…
…001010001001010011100000
3201000112012210110001211001122
4200332202122022021103200
5123002223231223032034
61232244102315151412
742356302355121620
oct4076423212112340
9630465713054048
10145035042002144
114223801a177658
121432491a145568
1362c0990613578
1427b5a3a994880
1511b7a632d862e
hex83e89a2894e0

145035042002144 has 48 divisors (see below), whose sum is σ = 329322687170400. Its totient is φ = 61587619398144.

The previous prime is 145035042002089. The next prime is 145035042002161. The reversal of 145035042002144 is 441200240530541.

It is a happy number.

It is a super-3 number, since 3×1450350420021443 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970057539 + ... + 2970106370.

It is an arithmetic number, because the mean of its divisors is an integer number (6860889316050).

Almost surely, 2145035042002144 is an apocalyptic number.

145035042002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145035042002144 is an abundant number, since it is smaller than the sum of its proper divisors (184287645168256).

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

145035042002144 is a wasteful number, since it uses less digits than its factorization.

145035042002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940164035 (or 5940164027 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 145035042002144 its reverse (441200240530541), we get a palindrome (586235282532685).

The spelling of 145035042002144 in words is "one hundred forty-five trillion, thirty-five billion, forty-two million, two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1744 3052 3488 6104 12208 24416 5940163909 11880327818 23760655636 41581147363 47521311272 83162294726 95042622544 166324589452 190085245088 332649178904 647477866081 665298357808 1294955732162 1330596715616 2589911464324 4532345062567 5179822928648 9064690125134 10359645857296 18129380250268 20719291714592 36258760500536 72517521001072 145035042002144