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145124450232234 = 231121759391979893
BaseRepresentation
bin100000111111110101101011…
…010011011110011110101010
3201000211202120110102111110220
4200333311223103132132222
5123010204333224412414
61232353130235550510
742365616110414514
oct4077655323363652
9630752513374426
10145124450232234
1142271a2a851200
121433a1108bb436
1362c923b95c025
1427ba0bd04cbb4
1511ba047720ca9
hex83fd6b4de7aa

145124450232234 has 96 divisors (see below), whose sum is σ = 337857665302080. Its totient is φ = 41383227409920.

The previous prime is 145124450232221. The next prime is 145124450232241. The reversal of 145124450232234 is 432232054421541.

It is a super-2 number, since 2×1451244502322342 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72309192 + ... + 74289084.

It is an arithmetic number, because the mean of its divisors is an integer number (3519350680230).

Almost surely, 2145124450232234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145124450232234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168928832651040).

145124450232234 is an abundant number, since it is smaller than the sum of its proper divisors (192733215069846).

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

145124450232234 is a wasteful number, since it uses less digits than its factorization.

145124450232234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985876 (or 1985865 counting only the distinct ones).

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

The spelling of 145124450232234 in words is "one hundred forty-five trillion, one hundred twenty-four billion, four hundred fifty million, two hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 5939 6171 11878 12342 17817 35634 65329 100963 130658 195987 201926 302889 391974 605778 718619 1110593 1437238 1979893 2155857 2221186 3331779 3959786 4311714 5939679 6663558 11879358 12216523 21778823 24433046 33658181 36649569 43557646 65336469 67316362 73299138 100974543 130672938 201949086 239567053 370239991 479134106 718701159 740479982 1110719973 1437402318 2221439946 4072639901 8145279802 11758584527 12217919703 23517169054 24435839406 35275753581 70551507162 129344429797 199895936959 258688859594 388033289391 399791873918 599687810877 776066578782 1199375621754 1422788727767 2198855306549 2845577455534 4268366183301 4397710613098 6596565919647 8536732366602 13193131839294 24187408372039 48374816744078 72562225116117 145124450232234