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133042414020 = 223547275317137
BaseRepresentation
bin111101111100111110…
…0100010000111000100
3110201101221202220001120
41323321330202013010
54134432324222040
6141041400353540
712416625601035
oct1737174420704
9421357686046
10133042414020
1151471a7988a
122194b7758b0
13c7132b9609
146621592a8c
1536d9ed47d0
hex1ef9f221c4

133042414020 has 96 divisors (see below), whose sum is σ = 380605091328. Its totient is φ = 34708488192.

The previous prime is 133042414013. The next prime is 133042414081. The reversal of 133042414020 is 20414240331.

133042414020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7754892 + ... + 7772028.

It is an arithmetic number, because the mean of its divisors is an integer number (3964636368).

Almost surely, 2133042414020 is an apocalyptic number.

133042414020 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 133042414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190302545664).

133042414020 is an abundant number, since it is smaller than the sum of its proper divisors (247562677308).

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

133042414020 is a wasteful number, since it uses less digits than its factorization.

133042414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19949 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 133042414020 its reverse (20414240331), we get a palindrome (153456654351).

The spelling of 133042414020 in words is "one hundred thirty-three billion, forty-two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2753 2820 5506 8259 11012 13765 16518 17137 27530 33036 34274 41295 51411 55060 68548 82590 85685 102822 129391 165180 171370 205644 257055 258782 342740 388173 514110 517564 646955 776346 805439 1028220 1293910 1552692 1610878 1940865 2416317 2587820 3221756 3881730 4027195 4832634 7763460 8054390 9665268 12081585 16108780 24163170 47178161 48326340 94356322 141534483 188712644 235890805 283068966 471781610 566137932 707672415 943563220 1415344830 2217373567 2830689660 4434747134 6652120701 8869494268 11086867835 13304241402 22173735670 26608482804 33260603505 44347471340 66521207010 133042414020