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1142166456330 = 23589215113181
BaseRepresentation
bin10000100111101110011…
…011010000100000001010
311001012010112200200121120
4100213232123100200022
5122203124103100310
62232412023020110
7145342643456364
oct20475633204012
94035115620546
101142166456330
11400432208809
1216543929a636
1383923946253
143d3d169dd34
151ea9c77ab70
hex109ee6d080a

1142166456330 has 96 divisors (see below), whose sum is σ = 2775052441728. Its totient is φ = 300861580800.

The previous prime is 1142166456313. The next prime is 1142166456373. The reversal of 1142166456330 is 336546612411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359057340 + ... + 359060520.

It is an arithmetic number, because the mean of its divisors is an integer number (28906796268).

Almost surely, 21142166456330 is an apocalyptic number.

1142166456330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1142166456330 is an abundant number, since it is smaller than the sum of its proper divisors (1632885985398).

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

1142166456330 is a wasteful number, since it uses less digits than its factorization.

1142166456330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1142166456330 in words is "one trillion, one hundred forty-two billion, one hundred sixty-six million, four hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 89 178 267 445 534 890 1335 1511 2670 3022 3181 4533 6362 7555 7921 9066 9543 15110 15842 15905 19086 22665 23763 31810 39605 45330 47526 47715 79210 95430 118815 134479 237630 268958 283109 403437 566218 672395 806874 849327 1344790 1415545 1698654 2017185 2831090 4034370 4246635 4806491 8493270 9612982 11968631 14419473 23937262 24032455 25196701 28838946 35905893 48064910 50393402 59843155 71811786 72097365 75590103 119686310 125983505 144194730 151180206 179529465 251967010 359058930 377950515 427777699 755901030 855555398 1283333097 2138888495 2566666194 4277776990 6416665485 12833330970 38072215211 76144430422 114216645633 190361076055 228433291266 380722152110 571083228165 1142166456330