Search a number
-
+
134441257010800 = 2452493368133619
BaseRepresentation
bin11110100100011000001011…
…010111100000011001110000
3122122000110101100121122211211
4132210120023113200121300
5120110141143243321200
61153533243313045504
740214026451342125
oct3644301327403160
9578013340548754
10134441257010800
1139923242785033
12130b3748b56894
135a029aa30717c
14252adc4b9c74c
1510821d3e81aba
hex7a460b5e0670

134441257010800 has 60 divisors (see below), whose sum is σ = 323060601117880. Its totient is φ = 53765600636160.

The previous prime is 134441257010783. The next prime is 134441257010803. The reversal of 134441257010800 is 8010752144431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134441257010803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32093610 + ... + 36040009.

Almost surely, 2134441257010800 is an apocalyptic number.

134441257010800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134441257010800 is an abundant number, since it is smaller than the sum of its proper divisors (188619344107080).

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

134441257010800 is a wasteful number, since it uses less digits than its factorization.

134441257010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68138570 (or 68138559 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 134441257010800 in words is "one hundred thirty-four trillion, four hundred forty-one billion, two hundred fifty-seven million, ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4933 9866 19732 24665 39464 49330 78928 98660 123325 197320 246650 394640 493300 986600 1973200 68133619 136267238 272534476 340668095 545068952 681336190 1090137904 1362672380 1703340475 2725344760 3406680950 5450689520 6813361900 13626723800 27253447600 336103142527 672206285054 1344412570108 1680515712635 2688825140216 3361031425270 5377650280432 6722062850540 8402578563175 13444125701080 16805157126350 26888251402160 33610314252700 67220628505400 134441257010800