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142131237040 = 245131934391613
BaseRepresentation
bin1000010001011110101…
…1101001000010110000
3111120212100222221100101
42010113223221002300
54312041044041130
6145143313402144
713161100403242
oct2042753510260
9446770887311
10142131237040
1155306418071
1223667569354
1310531298bc0
146c446ca092
153a6cda91ca
hex2117ae90b0

142131237040 has 160 divisors (see below), whose sum is σ = 358755788160. Its totient is φ = 52056096768.

The previous prime is 142131237013. The next prime is 142131237091. The reversal of 142131237040 is 40732131241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88115274 + ... + 88116886.

It is an arithmetic number, because the mean of its divisors is an integer number (2242223676).

Almost surely, 2142131237040 is an apocalyptic number.

142131237040 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 142131237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179377894080).

142131237040 is an abundant number, since it is smaller than the sum of its proper divisors (216624551120).

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

142131237040 is a wasteful number, since it uses less digits than its factorization.

142131237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 142131237040 its reverse (40732131241), we get a palindrome (182863368281).

The spelling of 142131237040 in words is "one hundred forty-two billion, one hundred thirty-one million, two hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 193 208 260 386 439 520 772 878 965 1040 1544 1613 1756 1930 2195 2509 3088 3226 3512 3860 4390 5018 5707 6452 7024 7720 8065 8780 10036 11414 12545 12904 15440 16130 17560 20072 20969 22828 25090 25808 28535 32260 35120 40144 41938 45656 50180 57070 64520 83876 84727 91312 100360 104845 114140 129040 167752 169454 200720 209690 228280 311309 335504 338908 419380 423635 456560 622618 677816 708107 838760 847270 1101451 1245236 1355632 1416214 1556545 1677520 1694540 2202902 2490472 2832428 3113090 3389080 3540535 4047017 4405804 4980944 5507255 5664856 6226180 6778160 7081070 8094034 8811608 9205391 11014510 11329712 12452360 14162140 16188068 17623216 18410782 20235085 22029020 24904720 28324280 32376136 36821564 40470170 44058040 46026955 56648560 64752272 73643128 80940340 88116080 92053910 136664651 147286256 161880680 184107820 273329302 323761360 368215640 546658604 683323255 736431280 1093317208 1366646510 1776640463 2186634416 2733293020 3553280926 5466586040 7106561852 8883202315 10933172080 14213123704 17766404630 28426247408 35532809260 71065618520 142131237040