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3444025414130 = 2576711328322963
BaseRepresentation
bin110010000111011111111…
…010010101000111110010
3110012020122001102102000122
4302013133322111013302
5422411331001223010
611154055145050242
7503552106001130
oct62073772250762
913166561372018
103444025414130
11110866a619354
12477585186982
131bca0219ca42
14bc998114750
155e8c1219855
hex321dfe951f2

3444025414130 has 128 divisors (see below), whose sum is σ = 7280180287488. Its totient is φ = 1148767183872.

The previous prime is 3444025414117. The next prime is 3444025414183. The reversal of 3444025414130 is 314145204443.

It is a happy number.

It is a super-2 number, since 2×34440254141302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149970029 + ... + 149992991.

It is an arithmetic number, because the mean of its divisors is an integer number (56876408496).

Almost surely, 23444025414130 is an apocalyptic number.

3444025414130 is an abundant number, since it is smaller than the sum of its proper divisors (3836154873358).

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

3444025414130 is a wasteful number, since it uses less digits than its factorization.

3444025414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23440.

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 3444025414130 in words is "three trillion, four hundred forty-four billion, twenty-five million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 67 70 113 134 226 283 335 469 565 566 670 791 938 1130 1415 1582 1981 2345 2830 3955 3962 4690 7571 7910 9905 15142 18961 19810 22963 31979 37855 37922 45926 52997 63958 75710 94805 105994 114815 132727 159895 160741 189610 223853 229630 264985 265454 319790 321482 447706 529970 663635 803705 1119265 1327270 1538521 1607410 2142593 2238530 2594819 3077042 4285186 5189638 6498529 7692605 10712965 10769647 12974095 12997058 14998151 15385210 18163733 21425930 21539294 25948190 29996302 32492645 36327466 45489703 53848235 64985290 74990755 90818665 90979406 107696470 149981510 173852873 181637330 227448515 347705746 435401443 454897030 734333777 869264365 870802886 1216970111 1468667554 1738528730 2177007215 2433940222 3047810101 3671668885 4354014430 5140336439 6084850555 6095620202 7343337770 10280672878 12169701110 15239050505 25701682195 30478101010 49200363059 51403364390 98400726118 246001815295 344402541413 492003630590 688805082826 1722012707065 3444025414130