Search a number
-
+
32444214402201 = 37232967161321433
BaseRepresentation
bin1110110000010000000011…
…10111111101110010011001
311020212122012002022022220220
413120020001313331302121
513223031222341332301
6153000355532310253
76556005610123050
oct730100167756231
9136778162268826
1032444214402201
11a379572235aa8
12377baa5912389
131514626543404
148024461b1397
153b3e3615d936
hex1d8201dfdc99

32444214402201 has 128 divisors (see below), whose sum is σ = 54199857438720. Its totient is φ = 16855189198848.

The previous prime is 32444214402163. The next prime is 32444214402233. The reversal of 32444214402201 is 10220441244423.

It is not a de Polignac number, because 32444214402201 - 26 = 32444214402137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32444214402241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1513739781 + ... + 1513761213.

It is an arithmetic number, because the mean of its divisors is an integer number (423436386240).

Almost surely, 232444214402201 is an apocalyptic number.

It is an amenable number.

32444214402201 is a deficient number, since it is larger than the sum of its proper divisors (21755643036519).

32444214402201 is a wasteful number, since it uses less digits than its factorization.

32444214402201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23175.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 32444214402201 its reverse (10220441244423), we get a palindrome (42664655646624).

The spelling of 32444214402201 in words is "thirty-two trillion, four hundred forty-four billion, two hundred fourteen million, four hundred two thousand, two hundred one".

Divisors: 1 3 7 21 23 29 67 69 87 161 201 203 469 483 609 667 1407 1541 1613 1943 2001 4623 4669 4839 5829 10787 11291 13601 14007 21433 32361 33873 37099 40803 44689 46777 64299 108071 111297 134067 140331 150031 259693 312823 324213 327439 450093 492959 621557 756497 779079 938469 982317 1075871 1436011 1478877 1864671 2269491 2485633 3134059 3227613 3450713 4308033 4350899 7456899 7531097 9402177 10052077 10352139 13052697 14295811 17399431 21938413 22593291 30156231 33028253 34571429 41644319 42887433 52198293 65815239 72083357 99084759 100070677 103714287 124932957 216250071 231197771 242000003 291510233 300212031 504583499 693593313 726000009 795142867 874530699 957819337 1002571441 1513750497 2316285743 2385428601 2873458011 3007714323 5566000069 6704735359 6948857229 7018000087 16214000201 16698000207 20114206077 21054000261 23059143143 48642000603 53274572089 67172286547 69177429429 159823716267 161414002001 201516859641 372922004623 470206005829 484242006003 1118766013869 1410618017487 1544962590581 4634887771743 10814738134067 32444214402201