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132241401633352 = 2311311392111652821
BaseRepresentation
bin11110000100010111011001…
…110001001101101001001000
3122100020011011122121201020011
4132010113121301031221020
5114313120342304231402
61145130510005441304
736566061132222124
oct3604273161155110
9570204148551204
10132241401633352
1139155299772120
12129b9329a10234
1358a34066bc00b
142492737516584
151044d8059aed7
hex7845d9c4da48

132241401633352 has 128 divisors (see below), whose sum is σ = 282561160089600. Its totient is φ = 57478468320000.

The previous prime is 132241401633337. The next prime is 132241401633389. The reversal of 132241401633352 is 253336104142231.

It is a super-3 number, since 3×1322414016333523 (a number of 43 digits) contains 333 as substring.

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, 79183102 + ... + 80835922.

It is an arithmetic number, because the mean of its divisors is an integer number (2207509063200).

Almost surely, 2132241401633352 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 132241401633352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141280580044800).

132241401633352 is an abundant number, since it is smaller than the sum of its proper divisors (150319758456248).

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

132241401633352 is a wasteful number, since it uses less digits than its factorization.

132241401633352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653219 (or 1653215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 132241401633352 its reverse (253336104142231), we get a palindrome (385577505775583).

The spelling of 132241401633352 in words is "one hundred thirty-two trillion, two hundred forty-one billion, four hundred one million, six hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 139 211 248 278 341 422 556 682 844 1112 1364 1529 1688 2321 2728 3058 4309 4642 6116 6541 8618 9284 12232 13082 17236 18568 26164 29329 34472 47399 52328 58658 71951 94798 117316 143902 189596 234632 287804 322619 379192 575608 645238 909199 1290476 1652821 1818398 2580952 3305642 3636796 6611284 7273592 10001189 13222568 18181031 20002378 36362062 40004756 51237451 72724124 80009512 102474902 145448248 204949804 229742119 348745231 409899608 459484238 563611961 697490462 918968476 1127223922 1394980924 1837936952 2254447844 2527163309 2789961848 3836197541 4508895688 5054326618 7122005689 7672395082 10108653236 10811102161 14244011378 15344790164 20217306472 21622204322 28488022756 30689580328 43244408644 48475587109 56976045512 78342062579 86488817288 96951174218 118922123771 156684125158 193902348436 237844247542 313368250316 387804696872 475688495084 533231458199 626736500632 951376990168 1066462916398 1502743200379 2132925832796 3005486400758 4265851665592 6010972801516 12021945603032 16530175204169 33060350408338 66120700816676 132241401633352