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142914000 = 2435323819
BaseRepresentation
bin10001000010010…
…11000111010000
3100221220210011010
420201023013100
5243041222000
622103050520
73353514615
oct1041130720
9327823133
10142914000
1173742449
123ba40a40
13237ba7c8
1414da250c
15c82ed50
hex884b1d0

142914000 has 80 divisors (see below), whose sum is σ = 460774080. Its totient is φ = 38108800.

The previous prime is 142913993. The next prime is 142914011. The reversal of 142914000 is 419241.

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

It is a super-2 number, since 2×1429140002 = 40848822792000000, which contains 22 as substring.

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, 5910 + ... + 17909.

It is an arithmetic number, because the mean of its divisors is an integer number (5759676).

Almost surely, 2142914000 is an apocalyptic number.

142914000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142914000 is an abundant number, since it is smaller than the sum of its proper divisors (317860080).

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

142914000 is a wasteful number, since it uses less digits than its factorization.

142914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23845 (or 23829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 142914000 is about 11954.6643616624. The cubic root of 142914000 is about 522.8273019318.

The spelling of 142914000 in words is "one hundred forty-two million, nine hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23819 47638 71457 95276 119095 142914 190552 238190 285828 357285 381104 476380 571656 595475 714570 952760 1143312 1190950 1429140 1786425 1905520 2381900 2858280 2977375 3572850 4763800 5716560 5954750 7145700 8932125 9527600 11909500 14291400 17864250 23819000 28582800 35728500 47638000 71457000 142914000