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134044412000 = 2553296911287
BaseRepresentation
bin111110011010110101…
…0110110100001100000
3110210222210012122212212
41330311222312201200
54144010332141000
6141325032541252
712453513462662
oct1746552664140
9423883178785
10134044412000
1151936637794
1221b8b251828
13c842a76025
1466b86a0532
153747e5cc35
hex1f35ab6860

134044412000 has 96 divisors (see below), whose sum is σ = 329487238080. Its totient is φ = 53594956800.

The previous prime is 134044411993. The next prime is 134044412053. The reversal of 134044412000 is 214440431.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11870357 + ... + 11881643.

It is an arithmetic number, because the mean of its divisors is an integer number (3432158730).

Almost surely, 2134044412000 is an apocalyptic number.

134044412000 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 134044412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164743619040).

134044412000 is an abundant number, since it is smaller than the sum of its proper divisors (195442826080).

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

134044412000 is a wasteful number, since it uses less digits than its factorization.

134044412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 134044412000 its reverse (214440431), we get a palindrome (134258852431).

The spelling of 134044412000 in words is "one hundred thirty-four billion, forty-four million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2969 4000 5938 11287 11876 14845 22574 23752 29690 45148 47504 56435 59380 74225 90296 95008 112870 118760 148450 180592 225740 237520 282175 296900 361184 371125 451480 475040 564350 593800 742250 902960 1128700 1187600 1410875 1484500 1805920 2257400 2375200 2821750 2969000 4514800 5643500 5938000 9029600 11287000 11876000 22574000 33511103 45148000 67022206 134044412 167555515 268088824 335111030 536177648 670222060 837777575 1072355296 1340444120 1675555150 2680888240 3351110300 4188887875 5361776480 6702220600 8377775750 13404441200 16755551500 26808882400 33511103000 67022206000 134044412000