Search a number
-
+
142342014040 = 23541615212731
BaseRepresentation
bin1000010010010000111…
…1101100010001011000
3111121102001121112000221
42010210033230101120
54313004023422130
6145220243205424
713166240104402
oct2044417542130
9447361545027
10142342014040
11554043a0a36
1223706076874
1310565b57615
146c646b5b72
153a8164187a
hex21243ec458

142342014040 has 128 divisors (see below), whose sum is σ = 334221733440. Its totient is φ = 54512640000.

The previous prime is 142342014013. The next prime is 142342014043. The reversal of 142342014040 is 40410243241.

It is a super-2 number, since 2×1423420140402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142342013996 and 142342014014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142342014043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52119475 + ... + 52122205.

Almost surely, 2142342014040 is an apocalyptic number.

142342014040 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 142342014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167110866720).

142342014040 is an abundant number, since it is smaller than the sum of its proper divisors (191879719400).

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

142342014040 is a wasteful number, since it uses less digits than its factorization.

142342014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142342014040 its reverse (40410243241), we get a palindrome (182752257281).

The spelling of 142342014040 in words is "one hundred forty-two billion, three hundred forty-two million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 410 488 521 610 820 1042 1220 1640 2084 2440 2501 2605 2731 4168 5002 5210 5462 10004 10420 10924 12505 13655 20008 20840 21361 21848 25010 27310 31781 42722 50020 54620 63562 85444 100040 106805 109240 111971 127124 158905 166591 170888 213610 223942 254248 317810 333182 427220 447884 559855 635620 666364 832955 854440 895768 1119710 1271240 1303021 1332728 1422851 1665910 2239420 2606042 2845702 3331820 4478840 5212084 5691404 6515105 6663640 6830231 7114255 10424168 11382808 13030210 13660462 14228510 26060420 27320924 28457020 34151155 52120840 54641848 56914040 58336891 68302310 86793911 116673782 136604620 173587822 233347564 273209240 291684455 347175644 433969555 466695128 583368910 694351288 867939110 1166737820 1735878220 2333475640 3471756440 3558550351 7117100702 14234201404 17792751755 28468402808 35585503510 71171007020 142342014040