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133144142304 = 2537091956161
BaseRepresentation
bin111110000000000000…
…0100110000111100000
3110201200001012020000210
41330000000212013200
54140134400023204
6141055433014120
712422302351665
oct1740000460740
9421601166023
10133144142304
1151514440848
1221979854340
13c72b3b6974
146630cb3a6c
1536e3dcb389
hex1f000261e0

133144142304 has 48 divisors (see below), whose sum is σ = 349996505040. Its totient is φ = 44318760960.

The previous prime is 133144142297. The next prime is 133144142363. The reversal of 133144142304 is 403241441331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910017 + ... + 1046144.

It is an arithmetic number, because the mean of its divisors is an integer number (7291593855).

Almost surely, 2133144142304 is an apocalyptic number.

It is an amenable number.

133144142304 is an abundant number, since it is smaller than the sum of its proper divisors (216852362736).

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

133144142304 is a wasteful number, since it uses less digits than its factorization.

133144142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956883 (or 1956875 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 133144142304 its reverse (403241441331), we get a palindrome (536385583635).

The spelling of 133144142304 in words is "one hundred thirty-three billion, one hundred forty-four million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 709 1418 2127 2836 4254 5672 8508 11344 17016 22688 34032 68064 1956161 3912322 5868483 7824644 11736966 15649288 23473932 31298576 46947864 62597152 93895728 187791456 1386918149 2773836298 4160754447 5547672596 8321508894 11095345192 16643017788 22190690384 33286035576 44381380768 66572071152 133144142304