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3483283201144 = 2317891096733923
BaseRepresentation
bin110010101100000011110…
…110111001110001111000
3110022222221222212121201021
4302230003312321301320
5424032230444414034
611224110451432224
7506442001454515
oct62540366716170
913288858777637
103483283201144
11112328561582a
124831005b5674
131c361a553006
14c083dcba30c
156091c9916b4
hex32b03db9c78

3483283201144 has 128 divisors (see below), whose sum is σ = 7069486248000. Its totient is φ = 1603109781504.

The previous prime is 3483283201121. The next prime is 3483283201147. The reversal of 3483283201144 is 4411023823843.

It is a self number, because there is not a number n which added to its sum of digits gives 3483283201144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483283201147) 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, 887911167 + ... + 887915089.

Almost surely, 23483283201144 is an apocalyptic number.

3483283201144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3483283201144 is an abundant number, since it is smaller than the sum of its proper divisors (3586203046856).

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

3483283201144 is a wasteful number, since it uses less digits than its factorization.

3483283201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 3483283201144 in words is "three trillion, four hundred eighty-three billion, two hundred eighty-three million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 89 109 136 178 218 356 436 673 712 872 1346 1513 1853 2692 3026 3706 3923 5384 6052 7412 7846 9701 11441 12104 14824 15692 19402 22882 31384 38804 45764 59897 66691 73357 77608 91528 119794 133382 146714 164917 239588 266764 293428 329834 349147 427607 479176 533528 586856 659668 698294 855214 1018249 1247069 1319336 1396588 1710428 2036498 2494138 2640179 2793176 3420856 4072996 4988276 5280358 5935499 6528773 7269319 8145992 9976552 10560716 11870998 13057546 14538638 21121432 23741996 26115092 29077276 38057023 44883043 47483992 52230184 58154552 76114046 89766086 110989141 152228092 179532172 221978282 234975931 287779511 304456184 359064344 443956564 469951862 575559022 646969391 887913128 939903724 1151118044 1293938782 1879807448 2302236088 2587877564 3994590827 4892251687 5175755128 7989181654 9784503374 15978363308 19569006748 25612376479 31956726616 39138013496 51224752958 102449505916 204899011832 435410400143 870820800286 1741641600572 3483283201144