Search a number
-
+
133033024440 = 233251162131799
BaseRepresentation
bin111101111100101100…
…0101101101110111000
3110201101022002211222100
41323321120231232320
54134422423240230
6141040423223400
712416453023131
oct1737130555670
9421338084870
10133033024440
11514677462a8
12219485a7b60
13c71137c854
14662022ac88
1536d927c660
hex1ef962dbb8

133033024440 has 96 divisors (see below), whose sum is σ = 432408132000. Its totient is φ = 35471304960.

The previous prime is 133033024417. The next prime is 133033024469. The reversal of 133033024440 is 44420330331.

133033024440 is a `hidden beast` number, since 13 + 303 + 302 + 4 + 4 + 40 = 666.

133033024440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4167661 + ... + 4199459.

It is an arithmetic number, because the mean of its divisors is an integer number (4504251375).

Almost surely, 2133033024440 is an apocalyptic number.

133033024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033024440 is an abundant number, since it is smaller than the sum of its proper divisors (299375107560).

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

133033024440 is a wasteful number, since it uses less digits than its factorization.

133033024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43437 (or 43430 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133033024440 its reverse (44420330331), we get a palindrome (177453354771).

The spelling of 133033024440 in words is "one hundred thirty-three billion, thirty-three million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11621 23242 31799 34863 46484 58105 63598 69726 92968 95397 104589 116210 127196 139452 158995 174315 190794 209178 232420 254392 278904 286191 317990 348630 381588 418356 464840 476985 522945 572382 635980 697260 763176 836712 953970 1045890 1144764 1271960 1394520 1430955 1907940 2091780 2289528 2861910 3815880 4183560 5723820 11447640 369536179 739072358 1108608537 1478144716 1847680895 2217217074 2956289432 3325825611 3695361790 4434434148 5543042685 6651651222 7390723580 8868868296 11086085370 13303302444 14781447160 16629128055 22172170740 26606604888 33258256110 44344341480 66516512220 133033024440