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12429845442 = 234741833221
BaseRepresentation
bin10111001001110000…
…00110001111000010
31012002020221120110000
423210320012033002
5200424020023232
65413222420430
7620010641310
oct134470061702
935066846400
1012429845442
1152a9361943
1224aa891716
131231225941
1485cb510b0
154cb37c27c
hex2e4e063c2

12429845442 has 160 divisors (see below), whose sum is σ = 33010395264. Its totient is φ = 3421958400.

The previous prime is 12429845431. The next prime is 12429845471. The reversal of 12429845442 is 24454892421.

12429845442 is a `hidden beast` number, since 1 + 2 + 4 + 29 + 84 + 544 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3857392 + ... + 3860612.

Almost surely, 212429845442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12429845442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505197632).

12429845442 is an abundant number, since it is smaller than the sum of its proper divisors (20580549822).

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

12429845442 is a wasteful number, since it uses less digits than its factorization.

12429845442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3357 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 12429845442 in words is "twelve billion, four hundred twenty-nine million, eight hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 83 123 126 162 166 189 246 249 287 369 378 498 567 574 581 738 747 861 1107 1134 1162 1494 1722 1743 2214 2241 2583 3221 3321 3403 3486 4482 5166 5229 6442 6642 6723 6806 7749 9663 10209 10458 13446 15498 15687 19326 20418 22547 23247 23821 28989 30627 31374 45094 46494 47061 47642 57978 61254 67641 71463 86967 91881 94122 132061 135282 142926 173934 183762 202923 214389 260901 264122 267343 275643 396183 405846 428778 521802 534686 551286 608769 643167 792366 802029 924427 1188549 1217538 1286334 1604058 1826307 1848854 1871401 1929501 2377098 2406087 2773281 3565647 3652614 3742802 3859002 4812174 5546562 5614203 7131294 7218261 8319843 10696941 10961063 11228406 14436522 16639686 16842609 21393882 21654783 21922126 24959529 32883189 33685218 43309566 49919058 50527827 65766378 74878587 76727441 98649567 101055654 149757174 151583481 153454882 197299134 230182323 295948701 303166962 460364646 591897402 690546969 887846103 1381093938 1775692206 2071640907 4143281814 6214922721 12429845442