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134201440433140 = 225172098118812741
BaseRepresentation
bin11110100000111000110101…
…001011110111001111110100
3122121011112101010102020222221
4132200320311023313033310
5120042224022222330030
61153231142435332124
740160506541145253
oct3640706513671764
9577145333366887
10134201440433140
1139840569555803
121307517aa51044
1359b61abc37292
14251d554a1879a
15107ad4a1a7e7a
hex7a0e352f73f4

134201440433140 has 48 divisors (see below), whose sum is σ = 298415088198864. Its totient is φ = 50520484505600.

The previous prime is 134201440433117. The next prime is 134201440433149. The reversal of 134201440433140 is 41334044102431.

It can be written as a sum of positive squares in 8 ways, for example, as 5901508207204 + 128299932225936 = 2429302^2 + 11326956^2 .

It is a super-2 number, since 2×1342014404331402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 134201440433096 and 134201440433105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134201440433149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2272831 + ... + 16539910.

It is an arithmetic number, because the mean of its divisors is an integer number (6216981004143).

Almost surely, 2134201440433140 is an apocalyptic number.

134201440433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134201440433140 is an abundant number, since it is smaller than the sum of its proper divisors (164213647765724).

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

134201440433140 is a wasteful number, since it uses less digits than its factorization.

134201440433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18833748 (or 18833746 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 134201440433140 its reverse (41334044102431), we get a palindrome (175535484535571).

The spelling of 134201440433140 in words is "one hundred thirty-four trillion, two hundred one billion, four hundred forty million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 20981 41962 83924 104905 209810 356677 419620 713354 1426708 1783385 3566770 7133540 18812741 37625482 75250964 94063705 188127410 319816597 376254820 639633194 1279266388 1599082985 3198165970 6396331940 394710118921 789420237842 1578840475684 1973550594605 3947101189210 6710072021657 7894202378420 13420144043314 26840288086628 33550360108285 67100720216570 134201440433140