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14443001585992 = 237329374905391
BaseRepresentation
bin1101001000101100010111…
…1110101010000101001000
31220010201220121120020011101
43102023011332222011020
53343113231401222432
650415005012311144
73020321020612000
oct322130576520510
956121817506141
1014443001585992
11466927395a001
1217531980124b4
13809c7a462c15
1437d08b6d9000
151a0a67a874e7
hexd22c5faa148

14443001585992 has 128 divisors (see below), whose sum is σ = 33552881280000. Its totient is φ = 5814888549120.

The previous prime is 14443001585989. The next prime is 14443001585993. The reversal of 14443001585992 is 29958510034441.

It is not an unprimeable number, because it can be changed into a prime (14443001585993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491617 + ... + 5397007.

It is an arithmetic number, because the mean of its divisors is an integer number (262131885000).

Almost surely, 214443001585992 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 14443001585992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776440640000).

14443001585992 is an abundant number, since it is smaller than the sum of its proper divisors (19109879694008).

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

14443001585992 is a wasteful number, since it uses less digits than its factorization.

14443001585992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905484 (or 4905466 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 14443001585992 in words is "fourteen trillion, four hundred forty-three billion, one million, five hundred eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 37 49 56 58 74 98 116 148 196 203 232 259 296 343 392 406 518 686 812 1036 1073 1372 1421 1624 1813 2072 2146 2744 2842 3626 4292 5684 7252 7511 8584 9947 11368 12691 14504 15022 19894 25382 30044 39788 50764 52577 60088 79576 101528 105154 210308 368039 420616 736078 1472156 2944312 4905391 9810782 19621564 34337737 39243128 68675474 137350948 142256339 181499467 240364159 274701896 284512678 362998934 480728318 569025356 725997868 961456636 995794373 1138050712 1270496269 1451995736 1682549113 1922913272 1991588746 2540992538 3365098226 3983177492 5081985076 5263484543 6730196452 6970560611 7966354984 8893473883 10163970152 10526969086 13460392904 13941121222 17786947766 21053938172 27882242444 35573895532 36844391801 42107876344 48793924277 55764484888 62254317181 71147791064 73688783602 97587848554 124508634362 147377567204 195175697108 249017268724 257910742607 294755134408 390351394216 498034537448 515821485214 1031642970428 1805375198249 2063285940856 3610750396498 7221500792996 14443001585992