Search a number
-
+
142350502452 = 223193149940361
BaseRepresentation
bin1000010010010011000…
…0000100101000110100
3111121102122120202221120
42010210300010220310
54313013212034302
6145221145143540
713166402210064
oct2044460045064
9447378522846
10142350502452
1155409169454
1223708a8abb0
131056783a152
146c658853a4
153a8226b9bc
hex2124c04a34

142350502452 has 96 divisors (see below), whose sum is σ = 361643520000. Its totient is φ = 43414444800.

The previous prime is 142350502429. The next prime is 142350502453. The reversal of 142350502452 is 254205053241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142350502453) 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, 3506752 + ... + 3547112.

It is an arithmetic number, because the mean of its divisors is an integer number (3767120000).

Almost surely, 2142350502452 is an apocalyptic number.

142350502452 is a gapful number since it is divisible by the number (12) 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 142350502452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821760000).

142350502452 is an abundant number, since it is smaller than the sum of its proper divisors (219293017548).

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

142350502452 is a wasteful number, since it uses less digits than its factorization.

142350502452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40917 (or 40915 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 142350502452 its reverse (254205053241), we get a palindrome (396555555693).

The spelling of 142350502452 in words is "one hundred forty-two billion, three hundred fifty million, five hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 499 589 998 1178 1497 1767 1996 2356 2994 3534 5988 7068 9481 15469 18962 28443 30938 37924 40361 46407 56886 61876 80722 92814 113772 121083 161444 185628 242166 293911 484332 587822 766859 881733 1175644 1251191 1533718 1763466 2300577 2502382 3067436 3526932 3753573 4601154 5004764 7507146 9202308 15014292 20140139 23772629 40280278 47545258 60420417 71317887 80560556 95090516 120840834 142635774 241681668 285271548 382662641 624344309 765325282 1147987923 1248688618 1530650564 1873032927 2295975846 2497377236 3746065854 4591951692 7492131708 11862541871 23725083742 35587625613 47450167484 71175251226 142350502452