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144032134000 = 2453166743201
BaseRepresentation
bin1000011000100011111…
…0111111001101110000
3111202202211212111202111
42012020332333031300
54324434211242000
6150100100255104
713256151640006
oct2061076771560
9452684774674
10144032134000
11560a1426097
1223ab80a1494
1310775054ac1
146d84d48a76
153b2ebe2cba
hex2188fbf370

144032134000 has 80 divisors (see below), whose sum is σ = 348486686496. Its totient is φ = 57576960000.

The previous prime is 144032133977. The next prime is 144032134013. The reversal of 144032134000 is 431230441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312400 + ... + 3355600.

Almost surely, 2144032134000 is an apocalyptic number.

144032134000 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 144032134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174243343248).

144032134000 is an abundant number, since it is smaller than the sum of its proper divisors (204454552496).

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

144032134000 is a wasteful number, since it uses less digits than its factorization.

144032134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44891 (or 44875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144032134000 its reverse (431230441), we get a palindrome (144463364441).

The spelling of 144032134000 in words is "one hundred forty-four billion, thirty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1667 2000 3334 6668 8335 13336 16670 26672 33340 41675 43201 66680 83350 86402 133360 166700 172804 208375 216005 333400 345608 416750 432010 666800 691216 833500 864020 1080025 1667000 1728040 2160050 3334000 3456080 4320100 5400125 8640200 10800250 17280400 21600500 43201000 72016067 86402000 144032134 288064268 360080335 576128536 720160670 1152257072 1440321340 1800401675 2880642680 3600803350 5761285360 7201606700 9002008375 14403213400 18004016750 28806426800 36008033500 72016067000 144032134000