Search a number
-
+
147320640000 = 29335417259
BaseRepresentation
bin1000100100110011111…
…1101001001000000000
3112002021000202220221000
42021030333221020000
54403203040440000
6151402252332000
713433512531032
oct2111477511000
9462230686830
10147320640000
115752972a346
1224675474000
1310b7a441541
1471b79b1c52
153c73775000
hex224cfe9200

147320640000 has 1200 divisors, whose sum is σ = 588675938400. Its totient is φ = 36347904000.

The previous prime is 147320639909. The next prime is 147320640013. The reversal of 147320640000 is 46023741.

147320640000 is a `hidden beast` number, since 14 + 7 + 3 + 2 + 0 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2496959971 + ... + 2496960029.

It is an arithmetic number, because the mean of its divisors is an integer number (490563282).

Almost surely, 2147320640000 is an apocalyptic number.

147320640000 is a gapful number since it is divisible by the number (10) 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 147320640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294337969200).

147320640000 is an abundant number, since it is smaller than the sum of its proper divisors (441355298400).

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

147320640000 is an frugal number, since it uses more digits than its factorization.

147320640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 147320640000 its reverse (46023741), we get a palindrome (147366663741).

The spelling of 147320640000 in words is "one hundred forty-seven billion, three hundred twenty million, six hundred forty thousand".