Search a number
-
+
214033132104420 = 22354292983095783
BaseRepresentation
bin110000101010100101111000…
…110011110010101011100100
31001001211100220222110022020110
4300222211320303302223210
5211023204323304320140
62035113244040333020
763040245353143656
oct6052457063625344
91031740828408213
10214033132104420
1162219a3a271412
122000907aa74170
139257312463a35
143abd38a4906d6
1519b275da52380
hexc2a978cf2ae4

214033132104420 has 48 divisors (see below), whose sum is σ = 599306737196160. Its totient is φ = 57074171675136.

The previous prime is 214033132104371. The next prime is 214033132104427. The reversal of 214033132104420 is 24401231330412.

214033132104420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214033132104427) 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, 38972152 + ... + 44123631.

It is an arithmetic number, because the mean of its divisors is an integer number (12485557024920).

Almost surely, 2214033132104420 is an apocalyptic number.

214033132104420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033132104420 is an abundant number, since it is smaller than the sum of its proper divisors (385273605091740).

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

214033132104420 is a wasteful number, since it uses less digits than its factorization.

214033132104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83138724 (or 83138722 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 214033132104420 its reverse (24401231330412), we get a palindrome (238434363434832).

The spelling of 214033132104420 in words is "two hundred fourteen trillion, thirty-three billion, one hundred thirty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 42929 85858 128787 171716 214645 257574 429290 515148 643935 858580 1287870 2575740 83095783 166191566 249287349 332383132 415478915 498574698 830957830 997149396 1246436745 1661915660 2492873490 4985746980 3567218868407 7134437736814 10701656605221 14268875473628 17836094342035 21403313210442 35672188684070 42806626420884 53508283026105 71344377368140 107016566052210 214033132104420