Search a number
-
+
133454344032 = 25322320147093
BaseRepresentation
bin111110001001001111…
…1111010111101100000
3110202110122220002210200
41330102133322331200
54141303303002112
6141150313425200
712433060131132
oct1742237727540
9422418802720
10133454344032
1151663552a09
1221a4570b200
13c77a747099
146660181052
153711252cdc
hex1f127faf60

133454344032 has 72 divisors (see below), whose sum is σ = 396011279664. Its totient is φ = 42550658304.

The previous prime is 133454344003. The next prime is 133454344097. The reversal of 133454344032 is 230443454331.

It is a happy number.

133454344032 is a `hidden beast` number, since 13 + 34 + 543 + 4 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1334543440322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10066923 + ... + 10080170.

It is an arithmetic number, because the mean of its divisors is an integer number (5500156662).

Almost surely, 2133454344032 is an apocalyptic number.

133454344032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133454344032 is an abundant number, since it is smaller than the sum of its proper divisors (262556935632).

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

133454344032 is a wasteful number, since it uses less digits than its factorization.

133454344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20147132 (or 20147121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 133454344032 its reverse (230443454331), we get a palindrome (363897798363).

The spelling of 133454344032 in words is "one hundred thirty-three billion, four hundred fifty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 20147093 40294186 60441279 80588372 120882558 161176744 181323837 241765116 322353488 362647674 463383139 483530232 644706976 725295348 926766278 967060464 1390149417 1450590696 1853532556 1934120928 2780298834 2901181392 3707065112 4170448251 5560597668 5802362784 7414130224 8340896502 11121195336 14828260448 16681793004 22242390672 33363586008 44484781344 66727172016 133454344032