Search a number
-
+
148302900000 = 25355517359
BaseRepresentation
bin1000101000011110001…
…0101010101100100000
3112011210111001220100000
42022013202222230200
54412211020300000
6152043541500000
713500040564563
oct2120742525440
9464714056300
10148302900000
1157993136872
12248aa411600
1310ca5aa9b88
14726c2224da
153cceb00000
hex22878aab20

148302900000 has 864 divisors, whose sum is σ = 580429100160. Its totient is φ = 37117440000.

The previous prime is 148302899999. The next prime is 148302900001. The reversal of 148302900000 is 9203841.

It is an interprime number because it is at equal distance from previous prime (148302899999) and next prime (148302900001).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148302900001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413099821 + ... + 413100179.

It is an arithmetic number, because the mean of its divisors is an integer number (671792940).

Almost surely, 2148302900000 is an apocalyptic number.

148302900000 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 148302900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290214550080).

148302900000 is an abundant number, since it is smaller than the sum of its proper divisors (432126200160).

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

148302900000 is an frugal number, since it uses more digits than its factorization.

148302900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 148302900000 in words is "one hundred forty-eight billion, three hundred two million, nine hundred thousand".