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34043302100000 = 2555437917047
BaseRepresentation
bin1111011110110010100101…
…11011011011110000100000
311110112111201020221001112202
413233121102323123300200
513430231140314200000
6200223135503312332
710112355522232664
oct757312273336040
9143474636831482
1034043302100000
11a93575758a326
1239999a0bab6a8
1315cc36745635b
148599c165c8a4
153e08275d5dd5
hex1ef652edbc20

34043302100000 has 144 divisors (see below), whose sum is σ = 85721298860736. Its totient is φ = 13300637280000.

The previous prime is 34043302099987. The next prime is 34043302100021. The reversal of 34043302100000 is 120334043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341477 + ... + 8258523.

It is an arithmetic number, because the mean of its divisors is an integer number (595286797644).

Almost surely, 234043302100000 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 34043302100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42860649430368).

34043302100000 is an abundant number, since it is smaller than the sum of its proper divisors (51677996760736).

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

34043302100000 is an frugal number, since it uses more digits than its factorization.

34043302100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917125 (or 7917097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34043302100000 its reverse (120334043), we get a palindrome (34043422434043).

The spelling of 34043302100000 in words is "thirty-four trillion, forty-three billion, three hundred two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3125 3440 4000 4300 5000 5375 6250 6880 8600 10000 10750 12500 17200 20000 21500 25000 26875 34400 43000 50000 53750 86000 100000 107500 134375 172000 215000 268750 430000 537500 860000 1075000 2150000 4300000 7917047 15834094 31668188 39585235 63336376 79170470 126672752 158340940 197926175 253345504 316681880 340433021 395852350 633363760 680866042 791704700 989630875 1266727520 1361732084 1583409400 1702165105 1979261750 2723464168 3166818800 3404330210 3958523500 4948154375 5446928336 6333637600 6808660420 7917047000 8510825525 9896308750 10893856672 13617320840 15834094000 17021651050 19792617500 24740771875 27234641680 31668188000 34043302100 39585235000 42554127625 49481543750 54469283360 68086604200 79170470000 85108255250 98963087500 136173208400 158340940000 170216510500 197926175000 212770638125 272346416800 340433021000 395852350000 425541276250 680866042000 791704700000 851082552500 1063853190625 1361732084000 1702165105000 2127706381250 3404330210000 4255412762500 6808660420000 8510825525000 17021651050000 34043302100000