Search a number
-
+
32313320444034 = 23272311637250429
BaseRepresentation
bin1110101100011100001111…
…11111001001000010000010
311020102010022212020022020100
413112032013333021002002
513213410140013202114
6152420311240423230
76543363126622500
oct726160777110202
9136363285208210
1032313320444034
11a329002a90973
12375a655777b16
1315051963ac266
147d9d8a0bd670
153b0824ab3909
hex1d6387fc9082

32313320444034 has 144 divisors (see below), whose sum is σ = 84585720510720. Its totient is φ = 8879744180160.

The previous prime is 32313320444029. The next prime is 32313320444051. The reversal of 32313320444034 is 43044402331323.

32313320444034 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 3 + 3 + 204 + 440 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32313320444034.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 831532 + ... + 8081960.

It is an arithmetic number, because the mean of its divisors is an integer number (587400836880).

Almost surely, 232313320444034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313320444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42292860255360).

32313320444034 is an abundant number, since it is smaller than the sum of its proper divisors (52272400066686).

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

32313320444034 is a wasteful number, since it uses less digits than its factorization.

32313320444034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250645 (or 7250635 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 32313320444034 its reverse (43044402331323), we get a palindrome (75357722775357).

The spelling of 32313320444034 in words is "thirty-two trillion, three hundred thirteen billion, three hundred twenty million, four hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 163 186 217 279 294 326 434 441 489 558 651 882 978 1141 1302 1467 1519 1953 2282 2934 3038 3423 3906 4557 5053 6846 7987 9114 10106 10269 13671 15159 15974 20538 23961 27342 30318 35371 45477 47922 70742 71883 90954 106113 143766 212226 247597 318339 495194 636678 742791 1485582 2228373 4456746 7250429 14500858 21751287 43502574 50753003 65253861 101506006 130507722 152259009 224763299 304518018 355271021 449526598 456777027 674289897 710542042 913554054 1065813063 1181819927 1348579794 1573343093 2022869691 2131626126 2363639854 3146686186 3197439189 3545459781 4045739382 4720029279 6394878378 7090919562 8272739489 9440058558 10636379343 11013401651 14160087837 16545478978 21272758686 22026803302 24818218467 28320175674 33040204953 36636417737 49636436934 57909176423 66080409906 73272835474 74454655401 99120614859 109909253211 115818352846 148909310802 173727529269 198241229718 219818506422 256454924159 329727759633 347455058538 512909848318 521182587807 659455519266 769364772477 1042365175614 1538729544954 1795184469113 2308094317431 3590368938226 4616188634862 5385553407339 10771106814678 16156660222017 32313320444034