Search a number
-
+
4542120212454 = 23211223372450593
BaseRepresentation
bin100001000011000101101…
…1101100011011111100110
3121002020000011111220101100
41002012023131203133212
51043404230233244304
613354342103340530
7646104654532626
oct102061335433746
917066004456340
104542120212454
1114a13364a1100
12614362a51746
1326c421342936
14119ba855c886
157d23e7d1439
hex4218b7637e6

4542120212454 has 144 divisors (see below), whose sum is σ = 11592642743136. Its totient is φ = 1280973450240.

The previous prime is 4542120212437. The next prime is 4542120212489.

4542120212454 is a `hidden beast` number, since 4 + 5 + 421 + 202 + 1 + 24 + 5 + 4 = 666.

4542120212454 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628182 + ... + 3078774.

It is an arithmetic number, because the mean of its divisors is an integer number (80504463494).

Almost surely, 24542120212454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542120212454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796321371568).

4542120212454 is an abundant number, since it is smaller than the sum of its proper divisors (7050522530682).

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

4542120212454 is a wasteful number, since it uses less digits than its factorization.

4542120212454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450683 (or 2450669 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 4542120 and 212454, that added together give a palindrome (4754574).

The spelling of 4542120212454 in words is "four trillion, five hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 121 138 198 207 222 242 253 333 363 407 414 506 666 726 759 814 851 1089 1221 1518 1702 2178 2277 2442 2553 2783 3663 4477 4554 5106 5566 7326 7659 8349 8954 9361 13431 15318 16698 18722 25047 26862 28083 40293 50094 56166 80586 84249 102971 168498 205942 308913 617826 926739 1853478 2450593 4901186 7351779 14703558 22055337 26956523 44110674 53913046 56363639 80869569 90671941 112727278 161739138 169090917 181343882 242608707 272015823 296521753 338181834 485217414 507272751 544031646 593043506 620000029 816047469 889565259 997391351 1014545502 1240000058 1632094938 1779130518 1860000087 1994782702 2085454643 2668695777 2992174053 3720000174 4170909286 5337391554 5580000261 5984348106 6256363929 6820000319 8976522159 10971304861 11160000522 12512727858 13640000638 17953044318 18769091787 20460000957 21942609722 22940001073 32913914583 37538183574 40920001914 45880002146 61380002871 65827829166 68820003219 98741743749 122760005742 137640006438 197483487498 206460009657 252340011803 412920019314 504680023606 757020035409 1514040070818 2271060106227 4542120212454