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3405462245000 = 235419131273641
BaseRepresentation
bin110001100011100101010…
…111100000111010001000
3110001120002112000102221022
4301203211113200322020
5421243341313320000
611124240414332012
7501015346321454
oct61434527407210
913046075012838
103405462245000
1110a3280725642
124700024ba008
131b91979c317a
14bab7a6c5664
155d8b5950585
hex318e55e0e88

3405462245000 has 160 divisors (see below), whose sum is σ = 8463090319200. Its totient is φ = 1280635200000.

The previous prime is 3405462244991. The next prime is 3405462245039. The reversal of 3405462245000 is 5422645043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12308180 + ... + 12581820.

It is an arithmetic number, because the mean of its divisors is an integer number (52894314495).

Almost surely, 23405462245000 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 3405462245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231545159600).

3405462245000 is an abundant number, since it is smaller than the sum of its proper divisors (5057628074200).

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

3405462245000 is a wasteful number, since it uses less digits than its factorization.

3405462245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273817 (or 273798 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 3405462245000 in words is "three trillion, four hundred five billion, four hundred sixty-two million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 131 152 190 200 250 262 380 475 500 524 625 655 760 950 1000 1048 1250 1310 1900 2375 2489 2500 2620 3275 3800 4750 4978 5000 5240 6550 9500 9956 11875 12445 13100 16375 19000 19912 23750 24890 26200 32750 47500 49780 62225 65500 81875 95000 99560 124450 131000 163750 248900 273641 311125 327500 497800 547282 622250 655000 1094564 1244500 1368205 1555625 2189128 2489000 2736410 3111250 5199179 5472820 6222500 6841025 10398358 10945640 12445000 13682050 20796716 25995895 27364100 34205125 35846971 41593432 51991790 54728200 68410250 71693942 103983580 129979475 136820500 143387884 171025625 179234855 207967160 259958950 273641000 286775768 342051250 358469710 519917900 649897375 681092449 684102500 716939420 896174275 1039835800 1299794750 1362184898 1368205000 1433878840 1792348550 2599589500 2724369796 3249486875 3405462245 3584697100 4480871375 5199179000 5448739592 6498973750 6810924490 7169394200 8961742750 12997947500 13621848980 17027311225 17923485500 22404356875 25995895000 27243697960 34054622450 35846971000 44808713750 68109244900 85136556125 89617427500 136218489800 170273112250 179234855000 340546224500 425682780625 681092449000 851365561250 1702731122500 3405462245000