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133320431442 = 23117947295407
BaseRepresentation
bin111110000101010000…
…1000101011101010010
3110202010022220122021010
41330022201011131102
54141020012301232
6141125131311350
712426542653332
oct1741241053522
9422108818233
10133320431442
11515a49a9450
1221a088ab556
13c758a8b773
14664a4830c2
1537046000cc
hex1f0a845752

133320431442 has 64 divisors (see below), whose sum is σ = 294679756800. Its totient is φ = 39872926080.

The previous prime is 133320431441. The next prime is 133320431459. The reversal of 133320431442 is 244134023331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133320431441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24654303 + ... + 24659709.

It is an arithmetic number, because the mean of its divisors is an integer number (4604371200).

Almost surely, 2133320431442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133320431442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147339878400).

133320431442 is an abundant number, since it is smaller than the sum of its proper divisors (161359325358).

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

133320431442 is a wasteful number, since it uses less digits than its factorization.

133320431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133320431442 its reverse (244134023331), we get a palindrome (377454454773).

The spelling of 133320431442 in words is "one hundred thirty-three billion, three hundred twenty million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 4729 5214 5407 9458 10814 14187 16221 28374 32442 52019 59477 104038 118954 156057 178431 312114 356862 373591 427153 747182 854306 1120773 1281459 2241546 2562918 4109501 4698683 8219002 9397366 12328503 14096049 24657006 25569703 28192098 51139406 76709109 153418218 281266733 562533466 843800199 1687600398 2020006537 4040013074 6060019611 12120039222 22220071907 44440143814 66660215721 133320431442