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142450607052 = 223213937324847
BaseRepresentation
bin1000010010101010110…
…1111100001111001100
3111121200121221121122100
42010222231330033030
54313214323411202
6145235122515100
713202026116165
oct2045255741714
9447617847570
10142450607052
115545a721526
1223736505a90
13105824b9440
146c74ca276c
153a8ae4241c
hex212ab7c3cc

142450607052 has 72 divisors (see below), whose sum is σ = 388197258176. Its totient is φ = 43784043264.

The previous prime is 142450607051. The next prime is 142450607053. The reversal of 142450607052 is 250706054241.

It is a happy number.

142450607052 is a `hidden beast` number, since 1 + 4 + 2 + 45 + 0 + 607 + 0 + 5 + 2 = 666.

142450607052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142450607051) and next prime (142450607053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142450606998 and 142450607016.

It is not an unprimeable number, because it can be changed into a prime (142450607051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276093 + ... + 600939.

Almost surely, 2142450607052 is an apocalyptic number.

142450607052 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 142450607052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194098629088).

142450607052 is an abundant number, since it is smaller than the sum of its proper divisors (245746651124).

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

142450607052 is a wasteful number, since it uses less digits than its factorization.

142450607052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325807 (or 325802 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 142450607052 in words is "one hundred forty-two billion, four hundred fifty million, six hundred seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 937 1874 2811 3748 5622 8433 11244 12181 16866 24362 33732 36543 48724 73086 109629 146172 219258 324847 438516 649694 974541 1299388 1949082 2923623 3898164 4223011 5847246 8446022 11694492 12669033 16892044 25338066 38007099 50676132 76014198 152028396 304381639 608763278 913144917 1217526556 1826289834 2739434751 3652579668 3956961307 5478869502 7913922614 10957739004 11870883921 15827845228 23741767842 35612651763 47483535684 71225303526 142450607052