Search a number
-
+
134002442000 = 2453722734211
BaseRepresentation
bin111110011001100101…
…0101111111100010000
3110210212212020100212102
41330303022233330100
54143414111121000
6141320533215532
712452463651320
oct1746312577420
9423785210772
10134002442000
1151914981039
1221b791915a8
13c83716c8cb
1466b2c97280
15374441c3d5
hex1f332aff10

134002442000 has 160 divisors (see below), whose sum is σ = 370557068544. Its totient is φ = 45912576000.

The previous prime is 134002441913. The next prime is 134002442009. The reversal of 134002442000 is 244200431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134002442009) 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, 31819895 + ... + 31824105.

Almost surely, 2134002442000 is an apocalyptic number.

134002442000 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 134002442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185278534272).

134002442000 is an abundant number, since it is smaller than the sum of its proper divisors (236554626544).

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

134002442000 is a wasteful number, since it uses less digits than its factorization.

134002442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 134002442000 its reverse (244200431), we get a palindrome (134246642431).

The spelling of 134002442000 in words is "one hundred thirty-four billion, two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2273 2800 3500 4211 4546 7000 8422 9092 11365 14000 15911 16844 18184 21055 22730 29477 31822 33688 36368 42110 45460 56825 58954 63644 67376 79555 84220 90920 105275 113650 117908 127288 147385 159110 168440 181840 210550 227300 235816 254576 284125 294770 318220 336880 397775 421100 454600 471632 526375 568250 589540 636440 736925 795550 842200 909200 1052750 1136500 1179080 1272880 1473850 1591100 1684400 1988875 2105500 2273000 2358160 2947700 3182200 3684625 3977750 4211000 4546000 5895400 6364400 7369250 7955500 8422000 9571603 11790800 14738500 15911000 19143206 29477000 31822000 38286412 47858015 58954000 67001221 76572824 95716030 134002442 153145648 191432060 239290075 268004884 335006105 382864120 478580150 536009768 670012210 765728240 957160300 1072019536 1196450375 1340024420 1675030525 1914320600 2392900750 2680048840 3350061050 3828641200 4785801500 5360097680 6700122100 8375152625 9571603000 13400244200 16750305250 19143206000 26800488400 33500610500 67001221000 134002442000