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142042142000 = 2453112586951
BaseRepresentation
bin1000010001001001011…
…1110001010100110000
3111120122011100102221002
42010102113301110300
54311400242021000
6145130412021132
713155636200033
oct2042227612460
9446564312832
10142042142000
11552700a4700
12236417617a8
13105189a2b45
146c3693701a
153a6515a8d5
hex21125f1530

142042142000 has 120 divisors (see below), whose sum is σ = 377520482976. Its totient is φ = 51651600000.

The previous prime is 142042141999. The next prime is 142042142003. The reversal of 142042142000 is 241240241.

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 (142042142003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51476 + ... + 535475.

Almost surely, 2142042142000 is an apocalyptic number.

142042142000 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 142042142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188760241488).

142042142000 is an abundant number, since it is smaller than the sum of its proper divisors (235478340976).

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

142042142000 is a wasteful number, since it uses less digits than its factorization.

142042142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586996 (or 586969 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142042142000 its reverse (241240241), we get a palindrome (142283382241).

The spelling of 142042142000 in words is "one hundred forty-two billion, forty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 242000 586951 1173902 2347804 2934755 4695608 5869510 6456461 9391216 11739020 12912922 14673775 23478040 25825844 29347550 32282305 46956080 51651688 58695100 64564610 71021071 73368875 103303376 117390200 129129220 142042142 146737750 161411525 234780400 258258440 284084284 293475500 322823050 355105355 516516880 568168568 586951000 645646100 710210710 807057625 1136337136 1173902000 1291292200 1420421420 1614115250 1775526775 2582584400 2840842840 3228230500 3551053550 5681685680 6456461000 7102107100 8877633875 12912922000 14204214200 17755267750 28408428400 35510535500 71021071000 142042142000