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145550033340 = 2235472634432
BaseRepresentation
bin1000011110001101110…
…1010100000110111100
3111220200122001210012120
42013203131110012330
54341041302031330
6150510442202540
713341602604345
oct2074335240674
9456618053176
10145550033340
1156800221358
12242604b3450
13109576732aa
14708a78b0cc
153bbd0c5c10
hex21e37541bc

145550033340 has 144 divisors (see below), whose sum is σ = 418738940928. Its totient is φ = 37757662592.

The previous prime is 145550033323. The next prime is 145550033347. The reversal of 145550033340 is 43330055541.

145550033340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1455500333402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145550033347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 328555159 + ... + 328555601.

It is an arithmetic number, because the mean of its divisors is an integer number (2907909312).

Almost surely, 2145550033340 is an apocalyptic number.

145550033340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145550033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209369470464).

145550033340 is an abundant number, since it is smaller than the sum of its proper divisors (273188907588).

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

145550033340 is a wasteful number, since it uses less digits than its factorization.

145550033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 145550033340 its reverse (43330055541), we get a palindrome (188880088881).

The spelling of 145550033340 in words is "one hundred forty-five billion, five hundred fifty million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 263 282 443 470 526 564 705 789 886 940 1052 1315 1329 1410 1578 1772 2215 2630 2658 2820 3156 3945 4430 5260 5316 6645 7890 8860 12361 13290 15780 20821 24722 26580 37083 41642 49444 61805 62463 74166 83284 104105 116509 123610 124926 148332 185415 196249 208210 233018 247220 249852 312315 349527 370830 392498 416420 466036 582545 588747 624630 699054 741660 784996 981245 1165090 1177494 1249260 1398108 1747635 1962490 2330180 2354988 2943735 3495270 3924980 5475923 5887470 6990540 9223703 10951846 11774940 16427769 18447406 21903692 27379615 27671109 32855538 36894812 46118515 51613487 54759230 55342218 65711076 82138845 92237030 103226974 109518460 110684436 138355545 154840461 164277690 184474060 206453948 258067435 276711090 309680922 328555380 516134870 553422180 619361844 774202305 1032269740 1548404610 2425833889 3096809220 4851667778 7277501667 9703335556 12129169445 14555003334 24258338890 29110006668 36387508335 48516677780 72775016670 145550033340