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1442651433012 = 2233611319166021
BaseRepresentation
bin10100111111100100101…
…110011110100000110100
312002220201212012002022000
4110333210232132200310
5142114022231324022
63022424522535300
7206141150565156
oct24774456364064
95086655162260
101442651433012
11506909140189
121b3719067530
13a6070099aba
144db78da6ad6
15277d77d66ac
hex14fe4b9e834

1442651433012 has 96 divisors (see below), whose sum is σ = 3804427334400. Its totient is φ = 472639017600.

The previous prime is 1442651432947. The next prime is 1442651433043. The reversal of 1442651433012 is 2103341562441.

1442651433012 is a `hidden beast` number, since 1 + 44 + 265 + 14 + 330 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8606562 + ... + 8772582.

It is an arithmetic number, because the mean of its divisors is an integer number (39629451400).

Almost surely, 21442651433012 is an apocalyptic number.

1442651433012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442651433012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902213667200).

1442651433012 is an abundant number, since it is smaller than the sum of its proper divisors (2361775901388).

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

1442651433012 is a wasteful number, since it uses less digits than its factorization.

1442651433012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167414 (or 167406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1442651433012 its reverse (2103341562441), we get a palindrome (3545992995453).

The spelling of 1442651433012 in words is "one trillion, four hundred forty-two billion, six hundred fifty-one million, four hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1319 1647 2196 2638 3294 3957 5276 6588 7914 11871 15828 23742 35613 47484 71226 80459 142452 160918 166021 241377 321836 332042 482754 498063 664084 724131 965508 996126 1448262 1494189 1992252 2172393 2896524 2988378 4344786 4482567 5976756 8689572 8965134 10127281 17930268 20254562 30381843 40509124 60763686 91145529 121527372 182291058 218981699 273436587 364582116 437963398 546873174 656945097 875926796 1093746348 1313890194 1970835291 2627780388 3941670582 5912505873 7883341164 11825011746 13357883639 23650023492 26715767278 40073650917 53431534556 80147301834 120220952751 160294603668 240441905502 360662858253 480883811004 721325716506 1442651433012