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133444242440 = 235171671175099
BaseRepresentation
bin111110001000111100…
…1011000110000001000
3110202102221212220000122
41330101321120300020
54141243211224230
6141145313122412
712432605226335
oct1742171306010
9422387786018
10133444242440
1151658883493
1221a42259408
13c77861b202
14665cab198c
153710409be5
hex1f11e58c08

133444242440 has 64 divisors (see below), whose sum is σ = 319815216000. Its totient is φ = 49936964608.

The previous prime is 133444242427. The next prime is 133444242493. The reversal of 133444242440 is 44242444331.

It is a super-3 number, since 3×1334442424403 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133444242440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473990 + ... + 701109.

It is an arithmetic number, because the mean of its divisors is an integer number (4997112750).

Almost surely, 2133444242440 is an apocalyptic number.

133444242440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133444242440 is an abundant number, since it is smaller than the sum of its proper divisors (186370973560).

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

133444242440 is a wasteful number, since it uses less digits than its factorization.

133444242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175294 (or 1175290 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 133444242440 its reverse (44242444331), we get a palindrome (177686686771).

The spelling of 133444242440 in words is "one hundred thirty-three billion, four hundred forty-four million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 167 170 334 340 668 680 835 1336 1670 2839 3340 5678 6680 11356 14195 22712 28390 56780 113560 1175099 2350198 4700396 5875495 9400792 11750990 19976683 23501980 39953366 47003960 79906732 99883415 159813464 196241533 199766830 392483066 399533660 784966132 799067320 981207665 1569932264 1962415330 3336106061 3924830660 6672212122 7849661320 13344424244 16680530305 26688848488 33361060610 66722121220 133444242440