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148369211283342 = 237171929337327109
BaseRepresentation
bin100001101111000011100110…
…001000100101011110001110
3201110022221212102210110020010
4201233003212020211132032
5123421340121042031332
61243315512534134050
743152215240320110
oct4157034610453616
9643287772713203
10148369211283342
11433030358792a5
1214782b447b1326
1364a320604894a
14288d172a553b0
151224654d779cc
hex86f0e622578e

148369211283342 has 128 divisors (see below), whose sum is σ = 379267326950400. Its totient is φ = 37668725692416.

The previous prime is 148369211283331. The next prime is 148369211283401. The reversal of 148369211283342 is 243382112963841.

It is a happy number.

148369211283342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14688717 + ... + 22638392.

It is an arithmetic number, because the mean of its divisors is an integer number (2963025991800).

Almost surely, 2148369211283342 is an apocalyptic number.

148369211283342 is an abundant number, since it is smaller than the sum of its proper divisors (230898115667058).

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

148369211283342 is a wasteful number, since it uses less digits than its factorization.

148369211283342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37327450.

The product of its digits is 11943936, while the sum is 57.

The spelling of 148369211283342 in words is "one hundred forty-eight trillion, three hundred sixty-nine billion, two hundred eleven million, two hundred eighty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 293 323 357 399 586 646 714 798 879 969 1758 1938 2051 2261 4102 4522 4981 5567 6153 6783 9962 11134 12306 13566 14943 16701 29886 33402 34867 38969 69734 77938 94639 104601 116907 189278 209202 233814 283917 567834 662473 1324946 1987419 3974838 37327109 74654218 111981327 223962654 261289763 522579526 634560853 709215071 783869289 1269121706 1418430142 1567738578 1903682559 2127645213 3807365118 4255290426 4441925971 4964505497 8883851942 9929010994 10936842937 12056656207 13325777913 14893516491 21873685874 24113312414 26651555826 29787032982 32810528811 36169968621 65621057622 72339937242 76557900559 84396593449 153115801118 168793186898 185926329929 207800015803 229673701677 253189780347 371852659858 415600031606 459347403354 506379560694 557778989787 623400047409 1115557979574 1246800094818 1301484309503 1454600110621 2602968619006 2909200221242 3532600268651 3904452928509 4363800331863 7065200537302 7808905857018 8727600663726 10597800805953 21195601611906 24728201880557 49456403761114 74184605641671 148369211283342