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3000145306326 = 2374726335916097
BaseRepresentation
bin101011101010000110100…
…110000110001011010110
3101121210220021200121020220
4223222012212012023112
5343123244144300301
610214125301535210
7426516253224510
oct53520646061326
911553807617226
103000145306326
11a573998a2553
12405546714506
13189bb297758c
14a52ca31cbb0
1553092397936
hex2ba869862d6

3000145306326 has 128 divisors (see below), whose sum is σ = 7050027663360. Its totient is φ = 833376709632.

The previous prime is 3000145306303. The next prime is 3000145306331. The reversal of 3000145306326 is 6236035410003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186371110 + ... + 186387206.

It is an arithmetic number, because the mean of its divisors is an integer number (55078341120).

Almost surely, 23000145306326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000145306326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525013831680).

3000145306326 is an abundant number, since it is smaller than the sum of its proper divisors (4049882357034).

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

3000145306326 is a wasteful number, since it uses less digits than its factorization.

3000145306326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16778.

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 3000145306326 in words is "three trillion, one hundred forty-five million, three hundred six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 263 282 329 359 526 658 718 789 987 1077 1578 1841 1974 2154 2513 3682 5026 5523 7539 11046 12361 15078 16097 16873 24722 32194 33746 37083 48291 50619 74166 86527 94417 96582 101238 112679 118111 173054 188834 225358 236222 259581 283251 338037 354333 519162 566502 660919 676074 708666 756559 1321838 1513118 1982757 2269677 3965514 4233511 4437599 4539354 5295913 5778823 8467022 8875198 10591826 11557646 12700533 13312797 15887739 17336469 25401066 26625594 29634577 31063193 31775478 34672938 40451761 59269154 62126386 80903522 88903731 93189579 121355283 177807462 186379158 198975017 242710566 271604681 397950034 543209362 596925051 814814043 1193850102 1392825119 1519830449 1629628086 1901232767 2785650238 3039660898 3802465534 4178475357 4559491347 5703698301 8356950714 9118982694 10638813143 11407396602 21277626286 31916439429 63832878858 71432031103 142864062206 214296093309 428592186618 500024217721 1000048435442 1500072653163 3000145306326