Search a number
-
+
142947459072 = 2133311411433
BaseRepresentation
bin1000010100100001010…
…1010010000000000000
3111122222020212022111000
42011020111102000000
54320224022142242
6145400312052000
713220241232305
oct2051025220000
9448866768430
10142947459072
1155695128830
1223854994000
131063140b712
146cc0c790ac
153ab9887a4c
hex2148552000

142947459072 has 448 divisors, whose sum is σ = 473623355520. Its totient is φ = 42231398400.

The previous prime is 142947459049. The next prime is 142947459073. The reversal of 142947459072 is 270954749241.

142947459072 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 47 + 4 + 590 + 7 + 2 = 666.

It is a super-2 number, since 2×1429474590722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142947459073) 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, 99753268 + ... + 99754700.

It is an arithmetic number, because the mean of its divisors is an integer number (1057194990).

Almost surely, 2142947459072 is an apocalyptic number.

142947459072 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 142947459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236811677760).

142947459072 is an abundant number, since it is smaller than the sum of its proper divisors (330675896448).

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

142947459072 is a wasteful number, since it uses less digits than its factorization.

142947459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 142947459072 in words is "one hundred forty-two billion, nine hundred forty-seven million, four hundred fifty-nine thousand, seventy-two".