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142413303006 = 234131714472749
BaseRepresentation
bin1000010010100001111…
…1101000110011011110
3111121121000202101010000
42010220133220303132
54313130301144011
6145231311155130
713201064050062
oct2045037506336
9447530671100
10142413303006
1155440662437
1223725b15aa6
1310577857a40
146c6dd51aa2
153a87a24356
hex21287e8cde

142413303006 has 160 divisors (see below), whose sum is σ = 364257432000. Its totient is φ = 41198367744.

The previous prime is 142413302963. The next prime is 142413303031. The reversal of 142413303006 is 600303314241.

142413303006 is a `hidden beast` number, since 1 + 4 + 24 + 1 + 330 + 300 + 6 = 666.

142413303006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 51804120 + ... + 51806868.

It is an arithmetic number, because the mean of its divisors is an integer number (2276608950).

Almost surely, 2142413303006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142413303006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182128716000).

142413303006 is an abundant number, since it is smaller than the sum of its proper divisors (221844128994).

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

142413303006 is a wasteful number, since it uses less digits than its factorization.

142413303006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 142413303006 its reverse (600303314241), we get a palindrome (742716617247).

The spelling of 142413303006 in words is "one hundred forty-two billion, four hundred thirteen million, three hundred three thousand, six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1447 1989 2106 2749 2754 2894 3978 4341 5498 5967 8247 8682 11934 13023 16494 17901 18811 24599 24741 26046 35737 35802 37622 39069 46733 49198 49482 56433 71474 73797 74223 78138 93466 107211 112866 117207 140199 147594 148446 169299 214422 221391 222669 234414 280398 319787 321633 338598 420597 442782 445338 507897 607529 639574 643266 664173 841194 959361 964899 1015794 1215058 1261791 1328346 1523691 1822587 1918722 1929798 1992519 2523582 2878083 2894697 3047382 3645174 3785373 3977803 3985038 5467761 5756166 5789394 7570746 7955606 8634249 10935522 11933409 16403283 17268498 23866818 25902747 32806566 35800227 49209849 51711439 51805494 67622651 71600454 98419698 103422878 107400681 135245302 155134317 202867953 214801362 310268634 322202043 405735906 465402951 608603859 644404086 879094463 930805902 1217207718 1396208853 1758188926 1825811577 2637283389 2792417706 3651623154 4188626559 5274566778 5477434731 7911850167 8377253118 10954869462 15823700334 23735550501 47471101002 71206651503 142413303006