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133301401440 = 2535337824069
BaseRepresentation
bin111110000100101100…
…0011111011101100000
3110202002000002211000020
41330021120133131200
54141000124321230
6141123211353440
712426222134304
oct1741130373540
9422060084006
10133301401440
1151595190979
1221a02452880
13c754b579cc
146647b2bd04
153702ae1810
hex1f0961f760

133301401440 has 96 divisors (see below), whose sum is σ = 421145917920. Its totient is φ = 35441516544.

The previous prime is 133301401403. The next prime is 133301401451. The reversal of 133301401440 is 44104103331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133301401440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250275 + ... + 573794.

It is an arithmetic number, because the mean of its divisors is an integer number (4386936645).

Almost surely, 2133301401440 is an apocalyptic number.

133301401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133301401440 is an abundant number, since it is smaller than the sum of its proper divisors (287844516480).

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

133301401440 is a wasteful number, since it uses less digits than its factorization.

133301401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824424 (or 824416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133301401440 its reverse (44104103331), we get a palindrome (177405504771).

The spelling of 133301401440 in words is "one hundred thirty-three billion, three hundred one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 337 480 674 1011 1348 1685 2022 2696 3370 4044 5055 5392 6740 8088 10110 10784 13480 16176 20220 26960 32352 40440 53920 80880 161760 824069 1648138 2472207 3296276 4120345 4944414 6592552 8240690 9888828 12361035 13185104 16481380 19777656 24722070 26370208 32962760 39555312 49444140 65925520 79110624 98888280 131851040 197776560 277711253 395553120 555422506 833133759 1110845012 1388556265 1666267518 2221690024 2777112530 3332535036 4165668795 4443380048 5554225060 6665070072 8331337590 8886760096 11108450120 13330140144 16662675180 22216900240 26660280288 33325350360 44433800480 66650700720 133301401440