Search a number
-
+
142103240000 = 265424114741
BaseRepresentation
bin1000010001011000000…
…0110101110101000000
3111120210102022112121222
42010112000311311000
54312011412140000
6145140433334212
713160310416231
oct2042600656500
9446712275558
10142103240000
11552a1635517
122365a107368
13105285457c7
146c40abd088
153a6a6c8a85
hex2116035d40

142103240000 has 140 divisors (see below), whose sum is σ = 353855970468. Its totient is φ = 56601600000.

The previous prime is 142103239963. The next prime is 142103240143. The reversal of 142103240000 is 42301241.

It can be written as a sum of positive squares in 10 ways, for example, as 48897592384 + 93205647616 = 221128^2 + 305296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9632630 + ... + 9647370.

Almost surely, 2142103240000 is an apocalyptic number.

142103240000 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 142103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176927985234).

142103240000 is an abundant number, since it is smaller than the sum of its proper divisors (211752730468).

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

142103240000 is an equidigital number, since it uses as much as digits as its factorization.

142103240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 142103240000 its reverse (42301241), we get a palindrome (142145541241).

The spelling of 142103240000 in words is "one hundred forty-two billion, one hundred three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 625 800 964 1000 1205 1250 1600 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 8000 9640 10000 12050 14741 15424 19280 20000 24100 29482 30125 38560 40000 48200 58964 60250 73705 77120 96400 117928 120500 147410 150625 192800 235856 241000 294820 301250 368525 385600 471712 482000 589640 602500 737050 943424 964000 1179280 1205000 1474100 1842625 1928000 2358560 2410000 2948200 3552581 3685250 4717120 4820000 5896400 7105162 7370500 9213125 9640000 11792800 14210324 14741000 17762905 18426250 23585600 28420648 29482000 35525810 36852500 56841296 58964000 71051620 73705000 88814525 113682592 117928000 142103240 147410000 177629050 227365184 284206480 294820000 355258100 444072625 568412960 589640000 710516200 888145250 1136825920 1421032400 1776290500 2220363125 2842064800 3552581000 4440726250 5684129600 7105162000 8881452500 14210324000 17762905000 28420648000 35525810000 71051620000 142103240000