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134432143101240 = 233544511533116417
BaseRepresentation
bin11110100100001111101100…
…001000101100110100111000
3122121222120212012012002021220
4132210033230020230310320
5120110014012113214430
61153525135102232040
740213254553364205
oct3644175410546470
9577876765162256
10134432143101240
113991a396161976
12130b1a24885620
135a01b8708318a
14252a79c5b4cac
151081d4dca4110
hex7a43ec22cd38

134432143101240 has 128 divisors (see below), whose sum is σ = 403437922110720. Its totient is φ = 35835996672000.

The previous prime is 134432143101203. The next prime is 134432143101241. The reversal of 134432143101240 is 42101341234431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134432143101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8188585512 + ... + 8188601928.

It is an arithmetic number, because the mean of its divisors is an integer number (3151858766490).

Almost surely, 2134432143101240 is an apocalyptic number.

134432143101240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134432143101240 is an abundant number, since it is smaller than the sum of its proper divisors (269005779009480).

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

134432143101240 is a wasteful number, since it uses less digits than its factorization.

134432143101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36213 (or 36209 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 134432143101240 its reverse (42101341234431), we get a palindrome (176533484335671).

The spelling of 134432143101240 in words is "one hundred thirty-four trillion, four hundred thirty-two billion, one hundred forty-three million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4451 8902 13353 15331 16417 17804 22255 26706 30662 32834 35608 44510 45993 49251 53412 61324 65668 66765 76655 82085 89020 91986 98502 106824 122648 131336 133530 153310 164170 178040 183972 197004 229965 246255 267060 306620 328340 367944 394008 459930 492510 534120 613240 656680 919860 985020 1839720 1970040 68238281 73072067 136476562 146144134 204714843 219216201 251689027 272953124 292288268 341191405 365360335 409429686 438432402 503378054 545906248 584576536 682382810 730720670 755067081 818859372 876864804 1006756108 1023574215 1096081005 1258445135 1364765620 1461441340 1510134162 1637718744 1753729608 2013512216 2047148430 2192162010 2516890270 2729531240 2922882680 3020268324 3775335405 4094296860 4384324020 5033780540 6040536648 7550670810 8188593720 8768648040 10067561080 15101341620 30202683240 1120267859177 2240535718354 3360803577531 4481071436708 5601339295885 6721607155062 8962142873416 11202678591770 13443214310124 16804017887655 22405357183540 26886428620248 33608035775310 44810714367080 67216071550620 134432143101240