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132032023445454 = 2311231972711162859
BaseRepresentation
bin11110000001010100011001…
…110110110011111111001110
3122022111010201201121201110020
4132001110121312303333032
5114301203041000223304
61144450401344323010
736544666424046336
oct3601243166637716
9568433651551406
10132032023445454
1139084515192610
1212984835613466
135889749477442
142486553ad60c6
15103e6c8b445d9
hex781519db3fce

132032023445454 has 128 divisors (see below), whose sum is σ = 302233805660160. Its totient is φ = 38061608323200.

The previous prime is 132032023445389. The next prime is 132032023445503. The reversal of 132032023445454 is 454544320230231.

It is a super-2 number, since 2×1320320234454542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 810632277 + ... + 810795135.

It is an arithmetic number, because the mean of its divisors is an integer number (2361201606720).

Almost surely, 2132032023445454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032023445454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151116902830080).

132032023445454 is an abundant number, since it is smaller than the sum of its proper divisors (170201782214706).

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

132032023445454 is a wasteful number, since it uses less digits than its factorization.

132032023445454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165806.

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 132032023445454 its reverse (454544320230231), we get a palindrome (586576343675685).

The spelling of 132032023445454 in words is "one hundred thirty-two trillion, thirty-two billion, twenty-three million, four hundred forty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 197 253 394 506 591 759 1182 1518 2167 2711 4334 4531 5422 6501 8133 9062 13002 13593 16266 27186 29821 49841 59642 62353 89463 99682 124706 149523 162859 178926 187059 299046 325718 374118 488577 534067 685883 977154 1068134 1371766 1602201 1791449 2057649 3204402 3582898 3745757 4115298 5374347 5874737 7491514 10748694 11237271 11749474 12283541 17624211 22474542 24567082 32083223 35248422 36850623 41203327 64166446 73701246 82406654 96249669 123609981 135118951 192499338 247219962 270237902 352915453 405356853 441510749 705830906 737914129 810713706 883021498 1058746359 1324532247 1475828258 2117492718 2213742387 2649064494 4427484774 4856618239 8117055419 9713236478 10154747227 14569854717 16234110838 20309494454 24351166257 29139709434 30464241681 48702332514 60928483362 86977617553 111702219497 173955235106 223404438994 260932852659 335106658491 521865705318 670213316982 956753793083 1913507586166 2000485203719 2870261379249 4000970407438 5740522758498 6001455611157 12002911222314 22005337240909 44010674481818 66016011722727 132032023445454