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3442101221344 = 251719794215451
BaseRepresentation
bin110010000101101101001…
…110000111011111100000
3110012001122221201021202011
4302011231032013133200
5422343410403040334
611153140211002304
7503453322430462
oct62055516073740
913161587637664
103442101221344
111107872449885
12477128899394
131bc786648526
14bc854750132
155e80c32d564
hex3216d3877e0

3442101221344 has 96 divisors (see below), whose sum is σ = 7648516108800. Its totient is φ = 1515133900800.

The previous prime is 3442101221329. The next prime is 3442101221387. The reversal of 3442101221344 is 4431221012443.

It is a happy number.

3442101221344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291182 + ... + 2924269.

It is an arithmetic number, because the mean of its divisors is an integer number (79672042800).

Almost surely, 23442101221344 is an apocalyptic number.

3442101221344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3442101221344 is an abundant number, since it is smaller than the sum of its proper divisors (4206414887456).

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

3442101221344 is a wasteful number, since it uses less digits than its factorization.

3442101221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215576 (or 4215568 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 3442101221344 its reverse (4431221012443), we get a palindrome (7873322233787).

The spelling of 3442101221344 in words is "three trillion, four hundred forty-two billion, one hundred one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 79 136 152 158 272 304 316 323 544 608 632 646 1264 1292 1343 1501 2528 2584 2686 3002 5168 5372 6004 10336 10744 12008 21488 24016 25517 42976 48032 51034 102068 204136 408272 816544 4215451 8430902 16861804 33723608 67447216 71662667 80093569 134894432 143325334 160187138 286650668 320374276 333020629 573301336 640748552 666041258 1146602672 1281497104 1332082516 1361590673 2293205344 2562994208 2664165032 2723181346 5328330064 5446362692 5661350693 6327391951 10656660128 10892725384 11322701386 12654783902 21785450768 22645402772 25309567804 43570901536 45290805544 50619135608 90581611088 101238271216 107565663167 181163222176 202476542432 215131326334 430262652668 860525305336 1721050610672 3442101221344