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148020074000 = 245374010037
BaseRepresentation
bin1000100111011010101…
…1110001011000010000
3112011001202212211222222
42021312223301120100
54411121114332000
6151555515520212
713460034604151
oct2116653613020
9464052784888
10148020074000
1157858522477
122482b759068
1310c5c313106
14724283d928
153cb4d84a85
hex2276af1610

148020074000 has 40 divisors (see below), whose sum is σ = 357912543768. Its totient is φ = 59208028800.

The previous prime is 148020073997. The next prime is 148020074057. The reversal of 148020074000 is 470020841.

It can be written as a sum of positive squares in 4 ways, for example, as 511845376 + 147508228624 = 22624^2 + 384068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1480200740003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37003019 + ... + 37007018.

Almost surely, 2148020074000 is an apocalyptic number.

148020074000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148020074000 is an abundant number, since it is smaller than the sum of its proper divisors (209892469768).

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

148020074000 is an equidigital number, since it uses as much as digits as its factorization.

148020074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74010060 (or 74010044 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 148020074000 its reverse (470020841), we get a palindrome (148490094841).

The spelling of 148020074000 in words is "one hundred forty-eight billion, twenty million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 74010037 148020074 296040148 370050185 592080296 740100370 1184160592 1480200740 1850250925 2960401480 3700501850 5920802960 7401003700 9251254625 14802007400 18502509250 29604014800 37005018500 74010037000 148020074000