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14144305550032 = 2471495171163909
BaseRepresentation
bin1100110111010011101001…
…0011101101001011010000
31212002011220222021102210201
43031310322103231023100
53323220014210100112
650025445415504544
72656615035316630
oct315647223551320
955064828242721
1014144305550032
114563625818239
121705317388154
137b7a57829688
1436c83382a6c0
15197dd4aed257
hexcdd3a4ed2d0

14144305550032 has 80 divisors (see below), whose sum is σ = 31536021744000. Its totient is φ = 6019960573440.

The previous prime is 14144305549999. The next prime is 14144305550057. The reversal of 14144305550032 is 23005550344141.

It is a super-2 number, since 2×141443055500322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14144305549973 and 14144305550000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86211694 + ... + 86375602.

It is an arithmetic number, because the mean of its divisors is an integer number (394200271800).

Almost surely, 214144305550032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144305550032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768010872000).

14144305550032 is an abundant number, since it is smaller than the sum of its proper divisors (17391716193968).

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

14144305550032 is a wasteful number, since it uses less digits than its factorization.

14144305550032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169244 (or 169238 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 14144305550032 its reverse (23005550344141), we get a palindrome (37149855894173).

The spelling of 14144305550032 in words is "fourteen trillion, one hundred forty-four billion, three hundred five million, five hundred fifty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 5171 8344 10342 16688 20684 36197 41368 72394 82736 144788 163909 289576 327818 579152 655636 770479 1147363 1311272 1540958 2294726 2622544 3081916 4589452 5393353 6163832 9178904 10786706 12327664 18357808 21573412 24422441 43146824 48844882 86293648 97689764 170957087 195379528 341914174 390759056 683828348 847573439 1367656696 1695146878 2735313392 3390293756 5933014073 6780587512 11866028146 13561175024 23732056292 47464112584 94928225168 126288442411 252576884822 505153769644 884019096877 1010307539288 1768038193754 2020615078576 3536076387508 7072152775016 14144305550032