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134041034000 = 2453611318387
BaseRepresentation
bin111110011010101110…
…1111101110100010000
3110210222112212001010202
41330311131331310100
54144004001042000
6141324432314332
712453442663406
oct1746535756420
9423875761122
10134041034000
115193473a855
1221b8a0a29a8
13c842162603
1466b8061476
1537479e1dd5
hex1f3577dd10

134041034000 has 160 divisors (see below), whose sum is σ = 331978787712. Its totient is φ = 52328640000.

The previous prime is 134041033993. The next prime is 134041034021. The reversal of 134041034000 is 430140431.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 15977807 + ... + 15986193.

Almost surely, 2134041034000 is an apocalyptic number.

134041034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134041034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165989393856).

134041034000 is an abundant number, since it is smaller than the sum of its proper divisors (197937753712).

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

134041034000 is a wasteful number, since it uses less digits than its factorization.

134041034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 134041034000 its reverse (430140431), we get a palindrome (134471174431).

The spelling of 134041034000 in words is "one hundred thirty-four billion, forty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 131 200 244 250 262 305 400 488 500 524 610 655 976 1000 1048 1220 1310 1525 2000 2096 2440 2620 3050 3275 4880 5240 6100 6550 7625 7991 8387 10480 12200 13100 15250 15982 16375 16774 24400 26200 30500 31964 32750 33548 39955 41935 52400 61000 63928 65500 67096 79910 83870 122000 127856 131000 134192 159820 167740 199775 209675 262000 319640 335480 399550 419350 511607 639280 670960 799100 838700 998875 1023214 1048375 1098697 1598200 1677400 1997750 2046428 2096750 2197394 2558035 3196400 3354800 3995500 4092856 4193500 4394788 5116070 5493485 7991000 8185712 8387000 8789576 10232140 10986970 12790175 15982000 16774000 17579152 20464280 21973940 25580350 27467425 40928560 43947880 51160700 54934850 63950875 67020517 87895760 102321400 109869700 127901750 134041034 137337125 204642800 219739400 255803500 268082068 274674250 335102585 439478800 511607000 536164136 549348500 670205170 1023214000 1072328272 1098697000 1340410340 1675512925 2197394000 2680820680 3351025850 5361641360 6702051700 8377564625 13404103400 16755129250 26808206800 33510258500 67020517000 134041034000