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134417301900 = 22352764008239
BaseRepresentation
bin111110100101111100…
…1010100000110001100
3110211221202212102122220
41331023321110012030
54200241312130100
6141430033135340
712465662133360
oct1751371240614
9424852772586
10134417301900
1152008076462
12220740ba550
13c8a20b4b3b
1467120092a0
15376aa68aa0
hex1f4be5418c

134417301900 has 72 divisors (see below), whose sum is σ = 444473218560. Its totient is φ = 30723954240.

The previous prime is 134417301877. The next prime is 134417301901. The reversal of 134417301900 is 9103714431.

It is a super-2 number, since 2×1344173019002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134417301901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32002020 + ... + 32006219.

Almost surely, 2134417301900 is an apocalyptic number.

134417301900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134417301900 is an abundant number, since it is smaller than the sum of its proper divisors (310055916660).

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

134417301900 is a wasteful number, since it uses less digits than its factorization.

134417301900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64008263 (or 64008256 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 134417301900 in words is "one hundred thirty-four billion, four hundred seventeen million, three hundred one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 64008239 128016478 192024717 256032956 320041195 384049434 448057673 640082390 768098868 896115346 960123585 1280164780 1344173019 1600205975 1792230692 1920247170 2240288365 2688346038 3200411950 3840494340 4480576730 4800617925 5376692076 6400823900 6720865095 8961153460 9601235850 11201441825 13441730190 19202471700 22402883650 26883460380 33604325475 44805767300 67208650950 134417301900