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3441144756423 = 3112192591812459
BaseRepresentation
bin110010000100110100001…
…101011111100011000111
3110011222012021221211112110
4302010310031133203013
5422334431024201143
611152501242352103
7503420526550143
oct62046415374307
913158167854473
103441144756423
111107421560600
12476b004bb633
131bc663441c5a
14bc7a36d6223
155e7a339b533
hex3213435f8c7

3441144756423 has 144 divisors (see below), whose sum is σ = 5444955734400. Its totient is φ = 1930772764800.

The previous prime is 3441144756397. The next prime is 3441144756451. The reversal of 3441144756423 is 3246574411443.

3441144756423 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3441144756423 - 214 = 3441144740039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441144716423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1399406968 + ... + 1399409426.

It is an arithmetic number, because the mean of its divisors is an integer number (37812192600).

Almost surely, 23441144756423 is an apocalyptic number.

3441144756423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3441144756423 is a deficient number, since it is larger than the sum of its proper divisors (2003810977977).

3441144756423 is a wasteful number, since it uses less digits than its factorization.

3441144756423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2732 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The spelling of 3441144756423 in words is "three trillion, four hundred forty-one billion, one hundred forty-four million, seven hundred fifty-six thousand, four hundred twenty-three".

Divisors: 1 3 11 19 33 57 59 121 177 181 209 361 363 543 627 649 1083 1121 1947 1991 2299 2459 3363 3439 3971 5973 6897 7139 7377 10317 10679 11913 12331 21299 21417 21901 27049 32037 36993 37829 43681 46721 63897 65341 65703 81147 113487 117469 131043 135641 140163 145081 196023 202901 234289 297539 352407 406923 416119 435243 445079 513931 608703 702867 718751 887699 892617 1248357 1292159 1335237 1541793 1595891 2156253 2231911 2577179 2663097 2756539 3855119 3876477 4787673 4895869 5653241 6695733 7731537 7906261 8269617 8456501 9764689 11565357 14687607 16959723 17554801 23718783 24551021 25369503 26259661 29294067 30321929 42406309 52374241 52664403 53854559 73653063 78778983 90965787 93021511 107411579 127218927 157122723 160673519 161563677 279064533 288856271 322234737 333541219 466469399 482020557 498933559 576116651 866568813 1000623657 1023236621 1399408197 1496800677 1728349953 1767408709 3069709863 3177418981 5302226127 5488269149 6337283161 9479737621 9532256943 16464807447 19011849483 19441495799 28439212863 58324487397 60370960639 104277113831 181112881917 312831341493 1147048252141 3441144756423