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148595924340 = 223251137305601
BaseRepresentation
bin1000101001100100000…
…0011101110101110100
3112012112220110002011100
42022121000131311310
54413311024034330
6152133010210100
713510226342133
oct2123100356564
9465486402140
10148595924340
1158023586346
1224970583930
1311021704866
1472990db91a
153cea6d2060
hex229901dd74

148595924340 has 72 divisors (see below), whose sum is σ = 454729890888. Its totient is φ = 39274905600.

The previous prime is 148595924297. The next prime is 148595924369. The reversal of 148595924340 is 43429595841.

It is a happy number.

148595924340 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 9 + 592 + 4 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9680198544 + 138915725796 = 98388^2 + 372714^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3632461 + ... + 3673140.

It is an arithmetic number, because the mean of its divisors is an integer number (6315692929).

Almost surely, 2148595924340 is an apocalyptic number.

148595924340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148595924340 is an abundant number, since it is smaller than the sum of its proper divisors (306133966548).

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

148595924340 is a wasteful number, since it uses less digits than its factorization.

148595924340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305729 (or 7305724 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 148595924340 in words is "one hundred forty-eight billion, five hundred ninety-five million, nine hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 7305601 14611202 21916803 29222404 36528005 43833606 65750409 73056010 87667212 109584015 131500818 146112020 219168030 263001636 328752045 438336060 657504090 825532913 1315008180 1651065826 2476598739 3302131652 4127664565 4953197478 7429796217 8255329130 9906394956 12382993695 14859592434 16510658260 24765987390 29719184868 37148981085 49531974780 74297962170 148595924340