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145533434331230 = 251126119311021093
BaseRepresentation
bin100001000101110010100100…
…101010000000000001011110
3201002021212020021011101101222
4201011302210222000001132
5123033404433142044410
61233305045312333342
742440305113042131
oct4105624452000136
9632255207141358
10145533434331230
114240a4236a4100
12143a5430844252
136328989670b7a
1427d1bda488218
1511c59d2c04955
hex845ca4a8005e

145533434331230 has 96 divisors (see below), whose sum is σ = 292811872528224. Its totient is φ = 52026679584000.

The previous prime is 145533434331227. The next prime is 145533434331239. The reversal of 145533434331230 is 32133434335541.

145533434331230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145533434331239) 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, 142016564 + ... + 143037656.

It is an arithmetic number, because the mean of its divisors is an integer number (3050123672169).

Almost surely, 2145533434331230 is an apocalyptic number.

145533434331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145533434331230 is an abundant number, since it is smaller than the sum of its proper divisors (147278438196994).

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

145533434331230 is a wasteful number, since it uses less digits than its factorization.

145533434331230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023114 (or 1023103 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 44.

Adding to 145533434331230 its reverse (32133434335541), we get a palindrome (177666868666771).

The spelling of 145533434331230 in words is "one hundred forty-five trillion, five hundred thirty-three billion, four hundred thirty-four million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1342 1931 3355 3862 6710 7381 9655 14762 19310 21241 36905 42482 73810 106205 117791 212410 233651 235582 467302 588955 1021093 1168255 1177910 1295701 2042186 2336510 2591402 5105465 6478505 10210930 11232023 12957010 14252711 22464046 28505422 56160115 62286673 71263555 112320230 123552253 124573346 142527110 247104506 311433365 617761265 622866730 685153403 1235522530 1370306806 1971730583 3425767015 3943461166 6851534030 7536687433 9858652915 15073374866 19717305830 21689036413 37683437165 43378072826 75366874330 108445182065 120275565563 216890364130 238579400543 240551131126 477158801086 601377827815 1192897002715 1202755655630 1323031221193 2385794005430 2646062442386 6615156105965 13230312211930 14553343433123 29106686866246 72766717165615 145533434331230