Search a number
-
+
332314104192 = 2737791564921
BaseRepresentation
bin1001101010111110111…
…01101101000110000000
31011202202112121121021220
410311133131231012000
520421034402313232
6412355112315040
733003024164550
oct4653735550600
91152675547256
10332314104192
11118a2a715034
12544a33a2a80
132544c766815
1412126a4b160
15899e54342c
hex4d5f76d180

332314104192 has 128 divisors (see below), whose sum is σ = 1021581081600. Its totient is φ = 93744967680.

The previous prime is 332314104191. The next prime is 332314104223. The reversal of 332314104192 is 291401413233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3323141041922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332314104191) 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, 570109 + ... + 994812.

It is an arithmetic number, because the mean of its divisors is an integer number (7981102200).

Almost surely, 2332314104192 is an apocalyptic number.

332314104192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332314104192 is an abundant number, since it is smaller than the sum of its proper divisors (689266977408).

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

332314104192 is a wasteful number, since it uses less digits than its factorization.

332314104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565024 (or 1565012 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 332314104192 in words is "three hundred thirty-two billion, three hundred fourteen million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 316 336 384 448 474 553 632 672 896 948 1106 1264 1344 1659 1896 2212 2528 2688 3318 3792 4424 5056 6636 7584 8848 10112 13272 15168 17696 26544 30336 35392 53088 70784 106176 212352 1564921 3129842 4694763 6259684 9389526 10954447 12519368 18779052 21908894 25038736 32863341 37558104 43817788 50077472 65726682 75116208 87635576 100154944 123628759 131453364 150232416 175271152 200309888 247257518 262906728 300464832 350542304 370886277 494515036 525813456 600929664 701084608 741772554 865401313 989030072 1051626912 1402169216 1483545108 1730802626 1978060144 2103253824 2596203939 2967090216 3461605252 3956120288 4206507648 5192407878 5934180432 6923210504 7912240576 10384815756 11868360864 13846421008 15824481152 20769631512 23736721728 27692842016 41539263024 47473443456 55385684032 83078526048 110771368064 166157052096 332314104192