Search a number
-
+
32004245141010 = 23351961102272857
BaseRepresentation
bin1110100011011100100011…
…01010011011011000010010
311012022120112212112010011000
413101232101222123120102
513143324143224003020
6152022314112202430
76512142013114542
oct721562152333022
9135276485463130
1032004245141010
11a219a1904013a
12370a778b39416
1314b1cab325b7c
147c9029963322
153a7785801090
hex1d1b91a9b612

32004245141010 has 128 divisors (see below), whose sum is σ = 91309207622400. Its totient is φ = 7952737282560.

The previous prime is 32004245140981. The next prime is 32004245141047. The reversal of 32004245141010 is 1014154240023.

32004245141010 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 4 + 245 + 1 + 410 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50823499 + ... + 51449358.

It is an arithmetic number, because the mean of its divisors is an integer number (713353184550).

Almost surely, 232004245141010 is an apocalyptic number.

32004245141010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32004245141010 is an abundant number, since it is smaller than the sum of its proper divisors (59304962481390).

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

32004245141010 is a wasteful number, since it uses less digits than its factorization.

32004245141010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102272953 (or 102272947 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 32004245141010 its reverse (1014154240023), we get a palindrome (33018399381033).

The spelling of 32004245141010 in words is "thirty-two trillion, four billion, two hundred forty-five million, one hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 61 90 95 114 122 135 171 183 190 270 285 305 342 366 513 549 570 610 855 915 1026 1098 1159 1647 1710 1830 2318 2565 2745 3294 3477 5130 5490 5795 6954 8235 10431 11590 16470 17385 20862 31293 34770 52155 62586 104310 156465 312930 102272857 204545714 306818571 511364285 613637142 920455713 1022728570 1534092855 1840911426 1943184283 2761367139 3068185710 3886368566 4602278565 5522734278 5829552849 6238644277 9204557130 9715921415 11659105698 12477288554 13806835695 17488658547 18715932831 19431842830 27613671390 29147764245 31193221385 34977317094 37431865662 52465975641 56147798493 58295528490 62386442770 87443292735 93579664155 104931951282 112295596986 118534241263 168443395479 174886585470 187159328310 237068482526 262329878205 280738992465 336886790958 355602723789 524659756410 561477984930 592671206315 711205447578 842216977395 1066808171367 1185342412630 1684433954790 1778013618945 2133616342734 3200424514101 3556027237890 5334040856835 6400849028202 10668081713670 16002122570505 32004245141010