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148340682975 = 35243611933907
BaseRepresentation
bin1000101000100111001…
…0110011000011011111
3112011220010011110211110
42022021302303003133
54412300203323400
6152051411353103
713501010000202
oct2121162630337
9464803143743
10148340682975
1157a024a2771
12248babb2793
1310cb0878574
147273259939
153cd30b4e50
hex2289cb30df

148340682975 has 96 divisors (see below), whose sum is σ = 256461593344. Its totient is φ = 75595161600.

The previous prime is 148340682967. The next prime is 148340683031. The reversal of 148340682975 is 579286043841.

It is a happy number.

148340682975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 148340682975 - 23 = 148340682967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37965972 + ... + 37969878.

It is a 1-persistent number, because it is pandigital, but 2⋅148340682975 = 296681365950 is not.

Almost surely, 2148340682975 is an apocalyptic number.

148340682975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148340682975 is a deficient number, since it is larger than the sum of its proper divisors (108120910369).

148340682975 is a wasteful number, since it uses less digits than its factorization.

148340682975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 148340682975 in words is "one hundred forty-eight billion, three hundred forty million, six hundred eighty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 43 61 75 129 183 193 215 305 579 645 915 965 1075 1525 2623 2895 3225 3907 4575 4825 7869 8299 11721 11773 13115 14475 19535 24897 35319 39345 41495 58605 58865 65575 97675 124485 168001 176595 196725 207475 238327 293025 294325 504003 506239 622425 714981 754051 840005 882975 1191635 1518717 2262153 2520015 2531195 3574905 3770255 4200025 5958175 7593585 10248061 11310765 12600075 12655975 17874525 18851275 30744183 32424193 37967925 45997111 51240305 56553825 97272579 137991333 153720915 162120965 229985555 256201525 486362895 689956665 768604575 810604825 1149927775 1977875773 2431814475 3449783325 5933627319 9889378865 29668136595 49446894325 148340682975