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132014443000 = 23531144327091
BaseRepresentation
bin111101011110010101…
…1001000100111111000
3110121202022110112220211
41322330223020213320
54130331144134000
6140351355400504
712352304152006
oct1727453104770
9417668415824
10132014443000
1150a94790a60
1221703453134
13c5ab337b3b
146564c43a76
153679b2a7ba
hex1ebcac89f8

132014443000 has 128 divisors (see below), whose sum is σ = 337770051840. Its totient is φ = 47895120000.

The previous prime is 132014442961. The next prime is 132014443009. The reversal of 132014443000 is 344410231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014443009) 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, 4859455 + ... + 4886545.

It is an arithmetic number, because the mean of its divisors is an integer number (2638828530).

Almost surely, 2132014443000 is an apocalyptic number.

132014443000 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 132014443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168885025920).

132014443000 is an abundant number, since it is smaller than the sum of its proper divisors (205755608840).

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

132014443000 is a wasteful number, since it uses less digits than its factorization.

132014443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27566 (or 27552 counting only the distinct ones).

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

Adding to 132014443000 its reverse (344410231), we get a palindrome (132358853231).

The spelling of 132014443000 in words is "one hundred thirty-two billion, fourteen million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 443 500 550 886 1000 1100 1375 1772 2200 2215 2750 3544 4430 4873 5500 8860 9746 11000 11075 17720 19492 22150 24365 27091 38984 44300 48730 54182 55375 88600 97460 108364 110750 121825 135455 194920 216728 221500 243650 270910 298001 443000 487300 541820 596002 609125 677275 974600 1083640 1192004 1218250 1354550 1490005 2384008 2436500 2709100 2980010 3386375 4873000 5418200 5960020 6772750 7450025 11920040 12001313 13545500 14900050 24002626 27091000 29800100 37250125 48005252 59600200 60006565 74500250 96010504 120013130 132014443 149000500 240026260 264028886 298001000 300032825 480052520 528057772 600065650 660072215 1056115544 1200131300 1320144430 1500164125 2400262600 2640288860 3000328250 3300361075 5280577720 6000656500 6600722150 12001313000 13201444300 16501805375 26402888600 33003610750 66007221500 132014443000