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148340398995 = 325231376431627
BaseRepresentation
bin1000101000100111000…
…1101101101110010011
3112011220002122001021200
42022021301231232103
54412300120231440
6152051401322243
713501004405235
oct2121161555623
9464802561250
10148340398995
1157a02319378
12248baa96383
1310cb07a9229
1472731c4255
153cd305ac30
hex2289c6db93

148340398995 has 96 divisors (see below), whose sum is σ = 270847729152. Its totient is φ = 74959796736.

The previous prime is 148340398979. The next prime is 148340399021. The reversal of 148340398995 is 599893043841.

148340398995 is a `hidden beast` number, since 1 + 483 + 40 + 39 + 89 + 9 + 5 = 666.

148340398995 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 148340398995 - 24 = 148340398979 is a prime.

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, 91173372 + ... + 91174998.

It is an arithmetic number, because the mean of its divisors is an integer number (2821330512).

Almost surely, 2148340398995 is an apocalyptic number.

148340398995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148340398995 is a deficient number, since it is larger than the sum of its proper divisors (122507330157).

148340398995 is a wasteful number, since it uses less digits than its factorization.

148340398995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 148340398995 in words is "one hundred forty-eight billion, three hundred forty million, three hundred ninety-eight thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 15 23 45 69 115 137 207 345 411 643 685 1035 1233 1627 1929 2055 3151 3215 4881 5787 6165 8135 9453 9645 14643 14789 15755 24405 28359 28935 37421 44367 47265 73215 73945 88091 112263 133101 141795 187105 221835 222899 264273 336789 440455 561315 665505 668697 792819 1046161 1114495 1321365 1683945 2006091 2026093 3138483 3343485 3964095 5126677 5230805 6078279 9415449 10030455 10130465 15380031 15692415 18234837 24061703 25633385 30391395 46140093 47077245 72185109 76900155 91174185 120308515 143324057 216555327 230700465 360925545 429972171 716620285 1082776635 1289916513 2149860855 3296453311 6449582565 9889359933 16482266555 29668079799 49446799665 148340398995