Search a number
-
+
142553311140152 = 231111325935528581
BaseRepresentation
bin100000011010011011000111…
…011110001101100100111000
3200200201222000100121121211002
4200122123013132031210320
5122141043140122441102
61223104030450024132
742012064640630213
oct4032330736154470
9620658010547732
10142553311140152
1141470579866140
1213ba3953578048
136170947b45383
14272b88d36a77a
1511732134e5902
hex81a6c778d938

142553311140152 has 64 divisors (see below), whose sum is σ = 294280227848160. Its totient is φ = 64198755532800.

The previous prime is 142553311140143. The next prime is 142553311140161. The reversal of 142553311140152 is 251041113355241.

It is an interprime number because it is at equal distance from previous prime (142553311140143) and next prime (142553311140161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23020502 + ... + 28549082.

Almost surely, 2142553311140152 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 142553311140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147140113924080).

142553311140152 is an abundant number, since it is smaller than the sum of its proper divisors (151726916708008).

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

142553311140152 is a wasteful number, since it uses less digits than its factorization.

142553311140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531304 (or 5531300 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

Adding to 142553311140152 its reverse (251041113355241), we get a palindrome (393594424495393).

The spelling of 142553311140152 in words is "one hundred forty-two trillion, five hundred fifty-three billion, three hundred eleven million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1243 2486 2593 4972 5186 9944 10372 20744 28523 57046 114092 228184 293009 586018 1172036 2344072 3223099 5528581 6446198 11057162 12892396 22114324 25784792 44228648 60814391 121628782 243257564 486515128 624729653 1249459306 2498918612 4997837224 6872026183 13744052366 14335610533 27488104732 28671221066 54976209464 57342442132 114684884264 157691715863 315383431726 630766863452 1261533726904 1619923990229 3239847980458 6479695960916 12959391921832 17819163892519 35638327785038 71276655570076 142553311140152