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142113454000 = 2453719075323
BaseRepresentation
bin1000010001011010011…
…1110011011110110000
3111120211010112110121021
42010112213303132300
54312022021012000
6145141440305224
713160463266530
oct2042647633660
9446733473537
10142113454000
11552a7381441
1223661612214
131052a6b08ab
146c421bb4c0
153a6b54511a
hex21169f37b0

142113454000 has 160 divisors (see below), whose sum is σ = 393000132096. Its totient is φ = 48689913600.

The previous prime is 142113453983. The next prime is 142113454009. The reversal of 142113454000 is 454311241.

142113454000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (142113454009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26695339 + ... + 26700661.

Almost surely, 2142113454000 is an apocalyptic number.

142113454000 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 142113454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196500066048).

142113454000 is an abundant number, since it is smaller than the sum of its proper divisors (250886678096).

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

142113454000 is a wasteful number, since it uses less digits than its factorization.

142113454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 142113454000 its reverse (454311241), we get a palindrome (142567765241).

The spelling of 142113454000 in words is "one hundred forty-two billion, one hundred thirteen million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 1907 2000 2800 3500 3814 5323 7000 7628 9535 10646 13349 14000 15256 19070 21292 26615 26698 30512 37261 38140 42584 47675 53230 53396 66745 74522 76280 85168 95350 106460 106792 133075 133490 149044 152560 186305 190700 212920 213584 238375 266150 266980 298088 333725 372610 381400 425840 476750 532300 533960 596176 665375 667450 745220 762800 931525 953500 1064600 1067920 1330750 1334900 1490440 1668625 1863050 1907000 2129200 2661500 2669800 2980880 3337250 3726100 3814000 4657625 5323000 5339600 6674500 7452200 9315250 10150961 10646000 13349000 14904400 18630500 20301922 26698000 37261000 40603844 50754805 71056727 74522000 81207688 101509610 142113454 162415376 203019220 253774025 284226908 355283635 406038440 507548050 568453816 710567270 812076880 1015096100 1136907632 1268870125 1421134540 1776418175 2030192200 2537740250 2842269080 3552836350 4060384400 5075480500 5684538160 7105672700 8882090875 10150961000 14211345400 17764181750 20301922000 28422690800 35528363500 71056727000 142113454000