Search a number
-
+
42120222214413 = 3710188322489991
BaseRepresentation
bin10011001001110111000001…
…11000100000100100001101
312112010122122201002010122110
421210323200320200210031
521010044203341330123
6225325432444334233
711605041241362450
oct1144734070404415
9175118581063573
1042120222214413
111246a0a4405a52
124883221244379
131a66bc607a7c5
14a588b59d7497
154d099c446493
hex264ee0e2090d

42120222214413 has 32 divisors (see below), whose sum is σ = 64892083156992. Its totient is φ = 23803405416000.

The previous prime is 42120222214379. The next prime is 42120222214439. The reversal of 42120222214413 is 31441222202124.

It is not a de Polignac number, because 42120222214413 - 214 = 42120222198029 is a prime.

It is a super-2 number, since 2×421202222144132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120222214453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9372153 + ... + 13117838.

It is an arithmetic number, because the mean of its divisors is an integer number (2027877598656).

Almost surely, 242120222214413 is an apocalyptic number.

It is an amenable number.

42120222214413 is a deficient number, since it is larger than the sum of its proper divisors (22771860942579).

42120222214413 is a wasteful number, since it uses less digits than its factorization.

42120222214413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490985.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42120222214413 its reverse (31441222202124), we get a palindrome (73561444416537).

The spelling of 42120222214413 in words is "forty-two trillion, one hundred twenty billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 21 101 303 707 883 2121 2649 6181 18543 89183 267549 624281 1872843 22489991 67469973 157429937 472289811 2271489091 6814467273 15900423637 19858662053 47701270911 59575986159 139010634371 417031903113 2005724867353 6017174602059 14040074071471 42120222214413