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34142344204100 = 225211132123496211
BaseRepresentation
bin1111100001101011000100…
…10011000100111101000100
311110212222100200010020122112
413300311202103010331010
513433342010104012400
6200340435411320152
710122463055231036
oct760654223047504
9143788320106575
1034142344204100
11a97376123a020
1239b5021bb0058
1316087bc67b092
148606d93b1c56
153e31c26a9835
hex1f0d624c4f44

34142344204100 has 72 divisors (see below), whose sum is σ = 80885427855456. Its totient is φ = 12405998880000.

The previous prime is 34142344204081. The next prime is 34142344204159. The reversal of 34142344204100 is 140244324143.

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, 10295006 + ... + 13201205.

Almost surely, 234142344204100 is an apocalyptic number.

It is an amenable number.

34142344204100 is an abundant number, since it is smaller than the sum of its proper divisors (46743083651356).

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

34142344204100 is a wasteful number, since it uses less digits than its factorization.

34142344204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497557 (or 23497550 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34142344204100 its reverse (140244324143), we get a palindrome (34282588528243).

The spelling of 34142344204100 in words is "thirty-four trillion, one hundred forty-two billion, three hundred forty-four million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1321 2642 5284 6605 13210 14531 26420 29062 33025 58124 66050 72655 132100 145310 290620 363275 726550 1453100 23496211 46992422 93984844 117481055 234962110 258458321 469924220 516916642 587405275 1033833284 1174810550 1292291605 2349621100 2584583210 5169166420 6461458025 12922916050 25845832100 31038494731 62076989462 124153978924 155192473655 310384947310 341423442041 620769894620 682846884082 775962368275 1365693768164 1551924736550 1707117210205 3103849473100 3414234420410 6828468840820 8535586051025 17071172102050 34142344204100