Search a number
-
+
3120234544432 = 2417353110929303
BaseRepresentation
bin101101011001111100011…
…110001011110100110000
3102001021212111202222102101
4231121330132023310300
5402110220020410212
610345225503030144
7441300215010355
oct55317436136460
912037774688371
103120234544432
11aa3314068575
1242488029b354
131983104a7b55
14ab03d45462c
15562700c9157
hex2d67c78bd30

3120234544432 has 80 divisors (see below), whose sum is σ = 6425210278080. Its totient is φ = 1462815850496.

The previous prime is 3120234544397. The next prime is 3120234544439. The reversal of 3120234544432 is 2344454320213.

It is a happy number.

It is a super-2 number, since 2×31202345444322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3120234544391 and 3120234544400.

It is not an unprimeable number, because it can be changed into a prime (3120234544439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106467093 + ... + 106496395.

It is an arithmetic number, because the mean of its divisors is an integer number (80315128476).

Almost surely, 23120234544432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120234544432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212605139040).

3120234544432 is an abundant number, since it is smaller than the sum of its proper divisors (3304975733648).

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

3120234544432 is a wasteful number, since it uses less digits than its factorization.

3120234544432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30790 (or 30784 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 3120234544432 its reverse (2344454320213), we get a palindrome (5464688864645).

The spelling of 3120234544432 in words is "three trillion, one hundred twenty billion, two hundred thirty-four million, five hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 353 706 1109 1412 2218 2824 4436 5648 6001 8872 12002 17744 18853 24004 29303 37706 48008 58606 75412 96016 117212 150824 234424 301648 391477 468848 498151 782954 996302 1565908 1992604 3131816 3985208 6263632 6655109 7970416 10343959 13310218 20687918 26620436 32497027 41375836 53240872 64994054 82751672 106481744 129988108 165503344 175847303 259976216 351694606 519952432 552449459 703389212 1104898918 1406778424 2209797836 2813556848 4419595672 8839191344 11471450531 22942901062 45885802124 91771604248 183543208496 195014659027 390029318054 780058636108 1560117272216 3120234544432