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134407066740 = 223541379144161
BaseRepresentation
bin111110100101101001…
…0010001010001110100
3110211221001121102122220
41331023102101101310
54200231202113430
6141425025522340
712465506134302
oct1751322212164
9424831542586
10134407066740
1152002315651
12220707a33b0
13c89cc4022b
146710903272
153769be6110
hex1f4b491474

134407066740 has 96 divisors (see below), whose sum is σ = 386538687360. Its totient is φ = 34875187200.

The previous prime is 134407066727. The next prime is 134407066747. The reversal of 134407066740 is 47660704431.

134407066740 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134407066692 and 134407066701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134407066747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860260 + ... + 1004420.

It is an arithmetic number, because the mean of its divisors is an integer number (4026444660).

Almost surely, 2134407066740 is an apocalyptic number.

134407066740 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 134407066740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193269343680).

134407066740 is an abundant number, since it is smaller than the sum of its proper divisors (252131620620).

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

134407066740 is a wasteful number, since it uses less digits than its factorization.

134407066740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144593 (or 144591 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 134407066740 in words is "one hundred thirty-four billion, four hundred seven million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 379 410 492 615 758 820 1137 1230 1516 1895 2274 2460 3790 4548 5685 7580 11370 15539 22740 31078 46617 62156 77695 93234 144161 155390 186468 233085 288322 310780 432483 466170 576644 720805 864966 932340 1441610 1729932 2162415 2883220 4324830 5910601 8649660 11821202 17731803 23642404 29553005 35463606 54637019 59106010 70927212 88659015 109274038 118212020 163911057 177318030 218548076 273185095 327822114 354636060 546370190 655644228 819555285 1092740380 1639110570 2240117779 3278221140 4480235558 6720353337 8960471116 11200588895 13440706674 22401177790 26881413348 33601766685 44802355580 67203533370 134407066740