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142014113152 = 271985967979
BaseRepresentation
bin1000010001000010110…
…0110110010110000000
3111120120012121102120121
42010100230312112000
54311321103110102
6145123531150024
713155146021212
oct2042054662600
9446505542517
10142014113152
11552562a016a
12236342a5314
1310512c3b122
146c32d1c5b2
153a62970b37
hex2110b36580

142014113152 has 64 divisors (see below), whose sum is σ = 298160280000. Its totient is φ = 67190542848.

The previous prime is 142014113123. The next prime is 142014113173. The reversal of 142014113152 is 251311410241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2055099 + ... + 2123077.

It is an arithmetic number, because the mean of its divisors is an integer number (4658754375).

Almost surely, 2142014113152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142014113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149080140000).

142014113152 is an abundant number, since it is smaller than the sum of its proper divisors (156146166848).

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

142014113152 is an equidigital number, since it uses as much as digits as its factorization.

142014113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68871 (or 68859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 142014113152 its reverse (251311410241), we get a palindrome (393325523393).

The spelling of 142014113152 in words is "one hundred forty-two billion, fourteen million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 859 1216 1718 2432 3436 6872 13744 16321 27488 32642 54976 65284 67979 109952 130568 135958 261136 271916 522272 543832 1044544 1087664 1291601 2089088 2175328 2583202 4350656 5166404 8701312 10332808 20665616 41331232 58393961 82662464 116787922 165324928 233575844 467151688 934303376 1109485259 1868606752 2218970518 3737213504 4437941036 7474427008 8875882072 17751764144 35503528288 71007056576 142014113152