Search a number
-
+
148001040000 = 273354116229
BaseRepresentation
bin1000100111010110001…
…1001010011010000000
3112011000110001211021000
42021311203022122000
54411101231240000
6151553555532000
713456414040352
oct2116543123200
9464013054230
10148001040000
11578488019a0
12248252ba000
1310c583aa5a8
1472400c70d2
153cb3375000
hex22758ca680

148001040000 has 640 divisors, whose sum is σ = 595553112000. Its totient is φ = 35873280000.

The previous prime is 148001039969. The next prime is 148001040001. The reversal of 148001040000 is 40100841.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (148001040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23756886 + ... + 23763114.

Almost surely, 2148001040000 is an apocalyptic number.

148001040000 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 148001040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297776556000).

148001040000 is an abundant number, since it is smaller than the sum of its proper divisors (447552072000).

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

148001040000 is an equidigital number, since it uses as much as digits as its factorization.

148001040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 148001040000 its reverse (40100841), we get a palindrome (148041140841).

The spelling of 148001040000 in words is "one hundred forty-eight billion, one million, forty thousand".