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3444120332220 = 22351715432188327
BaseRepresentation
bin110010000111100101100…
…100011010011110111100
3110012020212200000202011110
4302013211210122132330
5422412024301112340
611154112415322020
7503554340536221
oct62074544323674
913166780022143
103444120332220
111108709159757
124775b0b20310
131bca18a543a9
14bc9a6981948
155e8c9718680
hex321e591a7bc

3444120332220 has 96 divisors (see below), whose sum is σ = 10217425978368. Its totient is φ = 863846065152.

The previous prime is 3444120332201. The next prime is 3444120332231. The reversal of 3444120332220 is 222330214443.

It is a super-2 number, since 2×34441203322202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479697 + ... + 2668023.

It is an arithmetic number, because the mean of its divisors is an integer number (106431520608).

Almost surely, 23444120332220 is an apocalyptic number.

3444120332220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444120332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108712989184).

3444120332220 is an abundant number, since it is smaller than the sum of its proper divisors (6773305646148).

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

3444120332220 is a wasteful number, since it uses less digits than its factorization.

3444120332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189899 (or 2189897 counting only the distinct ones).

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

Adding to 3444120332220 its reverse (222330214443), we get a palindrome (3666450546663).

The spelling of 3444120332220 in words is "three trillion, four hundred forty-four billion, one hundred twenty million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1543 3086 4629 6172 7715 9258 15430 18516 23145 26231 30860 46290 52462 78693 92580 104924 131155 157386 262310 314772 393465 524620 786930 1573860 2188327 4376654 6564981 8753308 10941635 13129962 21883270 26259924 32824905 37201559 43766540 65649810 74403118 111604677 131299620 148806236 186007795 223209354 372015590 446418708 558023385 744031180 1116046770 2232093540 3376588561 6753177122 10129765683 13506354244 16882942805 20259531366 33765885610 40519062732 50648828415 57402005537 67531771220 101297656830 114804011074 172206016611 202595313660 229608022148 287010027685 344412033222 574020055370 688824066444 861030083055 1148040110740 1722060166110 3444120332220