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142421614216112 = 24711311586163421
BaseRepresentation
bin100000011000100000011101…
…101110010100001110110000
3200200021101002011121201000202
4200120200131232110032300
5122131413431214403422
61222523330351534332
741666423240351360
oct4030403556241660
9620241064551022
10142421614216112
114141a738334950
1213b8231a52a3a8
1361613ba53039a
14272535877a9a0
15116eaa66d9b92
hex81881db943b0

142421614216112 has 160 divisors (see below), whose sum is σ = 345201972231168. Its totient is φ = 55300210560000.

The previous prime is 142421614216067. The next prime is 142421614216127. The reversal of 142421614216112 is 211612416124241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245622162 + ... + 2245685582.

Almost surely, 2142421614216112 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 142421614216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172600986115584).

142421614216112 is an abundant number, since it is smaller than the sum of its proper divisors (202780358015056).

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

142421614216112 is a wasteful number, since it uses less digits than its factorization.

142421614216112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69619 (or 69613 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The spelling of 142421614216112 in words is "one hundred forty-two trillion, four hundred twenty-one billion, six hundred fourteen million, two hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 311 616 622 1232 1244 2177 2488 3421 4354 4976 5861 6842 8708 11722 13684 17416 23444 23947 27368 34832 41027 46888 47894 54736 63421 64471 82054 93776 95788 126842 128942 164108 191576 253684 257884 328216 383152 443947 451297 507368 515768 656432 697631 887894 902594 1014736 1031536 1395262 1775788 1805188 1822771 2790524 3551576 3610376 3645542 4883417 5581048 7103152 7220752 7291084 9766834 11162096 12759397 14582168 19533668 19723931 20050481 25518794 29164336 39067336 39447862 40100962 51037588 78134672 78895724 80201924 102075176 138067517 140353367 157791448 160403848 204150352 216963241 276135034 280706734 315582896 320807696 371710481 433926482 552270068 561413468 743420962 867852964 1104540136 1122826936 1486841924 1518742687 1735705928 2209080272 2245653872 2601973367 2973683848 3037485374 3471411856 4088815291 5203946734 5947367696 6074970748 8177630582 10407893468 12149941496 16355261164 20815786936 24299882992 28621707037 32710522328 41631573872 57243414074 65421044656 114486828148 115601959591 228973656296 231203919182 457947312592 462407838364 809213717137 924815676728 1271621555501 1618427434274 1849631353456 2543243111002 3236854868548 5086486222004 6473709737096 8901350888507 10172972444008 12947419474192 17802701777014 20345944888016 35605403554028 71210807108056 142421614216112