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1324214323432 = 2371113971704757
BaseRepresentation
bin10011010001010001010…
…100110000100011101000
311200121000202212112101221
4103101101110300203220
5133143442331322212
62452200300351424
7164446160013460
oct23212124604350
94617022775357
101324214323432
11470661510840
12194784845574
1397b46924480
1448141454ba0
15246a4b4e807
hex134515308e8

1324214323432 has 128 divisors (see below), whose sum is σ = 3368056285440. Its totient is φ = 471330938880.

The previous prime is 1324214323427. The next prime is 1324214323501. The reversal of 1324214323432 is 2343234124231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75603 + ... + 1629154.

It is an arithmetic number, because the mean of its divisors is an integer number (26312939730).

Almost surely, 21324214323432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324214323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684028142720).

1324214323432 is an abundant number, since it is smaller than the sum of its proper divisors (2043841962008).

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

1324214323432 is a wasteful number, since it uses less digits than its factorization.

1324214323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704891 (or 1704887 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

Adding to 1324214323432 its reverse (2343234124231), we get a palindrome (3667448447663).

The spelling of 1324214323432 in words is "one trillion, three hundred twenty-four billion, two hundred fourteen million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 97 104 143 154 182 194 286 308 364 388 572 616 679 728 776 1001 1067 1144 1261 1358 2002 2134 2522 2716 4004 4268 5044 5432 7469 8008 8536 8827 10088 13871 14938 17654 27742 29876 35308 55484 59752 70616 97097 110968 194194 388388 776776 1704757 3409514 6819028 11933299 13638056 18752327 22161841 23866598 37504654 44323682 47733196 75009308 88647364 95466392 131266289 150018616 155132887 165361429 177294728 243780251 262532578 310265774 330722858 487560502 525065156 620531548 661445716 975121004 1050130312 1157530003 1241063096 1322891432 1706461757 1818975719 1950242008 2149698577 2315060006 3412923514 3637951438 4299397154 4630120012 6825847028 7275902876 8598794308 9260240024 12732830033 13651694056 14551805752 15047890039 17197588616 23646684347 25465660066 30095780078 47293368694 50931320132 60191560156 94586737388 101862640264 120383120312 165526790429 189173474776 331053580858 662107161716 1324214323432