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32144340114304 = 271129721396239
BaseRepresentation
bin1110100111100001011111…
…11110010101101110000000
311012210222011022221010202121
413103300233332111232000
513203123102032124204
6152210523405454024
76525231466542115
oct723605776255600
9135728138833677
1032144340114304
11a273379aa2100
123731956571314
1314c227678b682
147d1b19a3490c
153ab234a32b54
hex1d3c2ff95b80

32144340114304 has 96 divisors (see below), whose sum is σ = 71114041000800. Its totient is φ = 14460433489920.

The previous prime is 32144340114301. The next prime is 32144340114331. The reversal of 32144340114304 is 40341104344123.

It is a self number, because there is not a number n which added to its sum of digits gives 32144340114304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32144340114301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9195784 + ... + 12200455.

It is an arithmetic number, because the mean of its divisors is an integer number (740771260425).

Almost surely, 232144340114304 is an apocalyptic number.

It is an amenable number.

32144340114304 is an abundant number, since it is smaller than the sum of its proper divisors (38969700886496).

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

32144340114304 is a wasteful number, since it uses less digits than its factorization.

32144340114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21396372 (or 21396349 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 32144340114304 its reverse (40341104344123), we get a palindrome (72485444458427).

The spelling of 32144340114304 in words is "thirty-two trillion, one hundred forty-four billion, three hundred forty million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 352 388 484 704 776 968 1067 1408 1552 1936 2134 3104 3872 4268 6208 7744 8536 11737 12416 15488 17072 23474 34144 46948 68288 93896 136576 187792 375584 751168 1502336 21396239 42792478 85584956 171169912 235358629 342339824 470717258 684679648 941434516 1369359296 1882869032 2075435183 2588944919 2738718592 3765738064 4150870366 5177889838 7531476128 8301740732 10355779676 15062952256 16603481464 20711559352 22829787013 30125904512 33206962928 41423118704 45659574026 66413925856 82846237408 91319148052 132827851712 165692474816 182638296104 251127657143 265655703424 331384949632 365276592208 502255314286 730553184416 1004510628572 1461106368832 2009021257144 2922212737664 4018042514288 8036085028576 16072170057152 32144340114304