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133333420240 = 24541151126903
BaseRepresentation
bin111110000101101001…
…0101000100011010000
3110202011020100112112201
41330023102220203100
54141031323421430
6141130313532544
712430061241466
oct1741322504320
9422136315481
10133333420240
1151601270099
1221a11114154
13c75b688847
14664c0a4836
1537058188ca
hex1f0b4a88d0

133333420240 has 80 divisors (see below), whose sum is σ = 317783160576. Its totient is φ = 51996185600.

The previous prime is 133333420237. The next prime is 133333420243. The reversal of 133333420240 is 42024333331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133333420237) and next prime (133333420243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 133333420199 and 133333420208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333420243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942629 + ... + 4969531.

Almost surely, 2133333420240 is an apocalyptic number.

133333420240 is a gapful number since it is divisible by the number (10) 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 133333420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158891580288).

133333420240 is an abundant number, since it is smaller than the sum of its proper divisors (184449740336).

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

133333420240 is a wasteful number, since it uses less digits than its factorization.

133333420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 133333420240 its reverse (42024333331), we get a palindrome (175357753571).

The spelling of 133333420240 in words is "one hundred thirty-three billion, three hundred thirty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1511 1640 3022 3280 6044 7555 12088 15110 24176 26903 30220 53806 60440 61951 107612 120880 123902 134515 215224 247804 269030 309755 430448 495608 538060 619510 991216 1076120 1103023 1239020 2152240 2206046 2478040 4412092 4956080 5515115 8824184 11030230 17648368 22060460 40650433 44120920 81300866 88241840 162601732 203252165 325203464 406504330 650406928 813008660 1626017320 1666667753 3252034640 3333335506 6666671012 8333338765 13333342024 16666677530 26666684048 33333355060 66666710120 133333420240