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3332201044224 = 28313797418763
BaseRepresentation
bin110000011111010110101…
…010001101100100000000
3102210112222211010211121210
4300133112222031210000
5414043321431403344
611030443024450120
7462513022354023
oct60372652154400
912715884124553
103332201044224
1110751a668a118
12459977479940
131b22c0a2c620
14b73ca9131ba
155ba28da2db9
hex307d6a8d900

3332201044224 has 144 divisors (see below), whose sum is σ = 9562713797952. Its totient is φ = 1024003743744.

The previous prime is 3332201044189. The next prime is 3332201044303. The reversal of 3332201044224 is 4224401022333.

It is a super-2 number, since 2×33322010442242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332201044191 and 3332201044200.

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, 7747867 + ... + 8166629.

It is an arithmetic number, because the mean of its divisors is an integer number (66407734708).

Almost surely, 23332201044224 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 3332201044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781356898976).

3332201044224 is an abundant number, since it is smaller than the sum of its proper divisors (6230512753728).

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

3332201044224 is a wasteful number, since it uses less digits than its factorization.

3332201044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419592 (or 419578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3332201044224 its reverse (4224401022333), we get a palindrome (7556602066557).

The spelling of 3332201044224 in words is "three trillion, three hundred thirty-two billion, two hundred one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 797 832 1248 1594 1664 2391 2496 3188 3328 4782 4992 6376 9564 9984 10361 12752 19128 20722 25504 31083 38256 41444 51008 62166 76512 82888 102016 124332 153024 165776 204032 248664 306048 331552 418763 497328 612096 663104 837526 994656 1256289 1326208 1675052 1989312 2512578 2652416 3350104 3978624 5025156 5443919 6700208 7957248 10050312 10887838 13400416 16331757 20100624 21775676 26800832 32663514 40201248 43551352 53601664 65327028 80402496 87102704 107203328 130654056 160804992 174205408 261308112 321609984 333754111 348410816 522616224 667508222 696821632 1001262333 1045232448 1335016444 1393643264 2002524666 2090464896 2670032888 4005049332 4180929792 4338803443 5340065776 8010098664 8677606886 10680131552 13016410329 16020197328 17355213772 21360263104 26032820658 32040394656 34710427544 42720526208 52065641316 64080789312 69420855088 85441052416 104131282632 128161578624 138841710176 208262565264 256323157248 277683420352 416525130528 555366840704 833050261056 1110733681408 1666100522112 3332201044224