Search a number
-
+
142466411232252 = 223210167757876191
BaseRepresentation
bin100000011001001010001011…
…110101010111101111111100
3200200102122201011002220120200
4200121022023311113233330
5122133132202233413002
61223000055451243500
742002600323614102
oct4031121365275774
9620378634086520
10142466411232252
114143773605a138
1213b8ab40a49590
1361656a9381023
1427275a808bc72
151170d293ceb1c
hex81928bd57bfc

142466411232252 has 72 divisors (see below), whose sum is σ = 364226219989632. Its totient is φ = 46949165328000.

The previous prime is 142466411232239. The next prime is 142466411232259. The reversal of 142466411232252 is 252232114664241.

142466411232252 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 6 + 6 + 411 + 2 + 3 + 225 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142466411232198 and 142466411232207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142466411232259) 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, 26476524 + ... + 31399667.

It is an arithmetic number, because the mean of its divisors is an integer number (5058697499856).

Almost surely, 2142466411232252 is an apocalyptic number.

142466411232252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142466411232252 is an abundant number, since it is smaller than the sum of its proper divisors (221759808757380).

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

142466411232252 is a wasteful number, since it uses less digits than its factorization.

142466411232252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57876979 (or 57876974 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

Adding to 142466411232252 its reverse (252232114664241), we get a palindrome (394698525896493).

The spelling of 142466411232252 in words is "one hundred forty-two trillion, four hundred sixty-six billion, four hundred eleven million, two hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 677 909 1212 1354 1818 2031 2708 3636 4062 6093 8124 12186 24372 68377 136754 205131 273508 410262 615393 820524 1230786 2461572 57876191 115752382 173628573 231504764 347257146 520885719 694514292 1041771438 2083542876 5845495291 11690990582 17536485873 23381981164 35072971746 39182181307 52609457619 70145943492 78364362614 105218915238 117546543921 156728725228 210437830476 235093087842 352639631763 470186175684 705279263526 1410558527052 3957400312007 7914800624014 11872200936021 15829601248028 23744401872042 35616602808063 47488803744084 71233205616126 142466411232252