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2042431422141 = 3111929983114269
BaseRepresentation
bin11101101110001010011…
…001100011111010111101
321020020212120001102121110
4131232022121203322331
5231430344421002031
64202140253352233
7300363232433115
oct35561231437275
97206776042543
102042431422141
11718210323310
1228ba06198679
1311a7a6284956
1470bd5d3a045
15381dd195c46
hex1db8a663ebd

2042431422141 has 64 divisors (see below), whose sum is σ = 3238320384000. Its totient is φ = 1131088654080.

The previous prime is 2042431422137. The next prime is 2042431422167. The reversal of 2042431422141 is 1412241342402.

It is not a de Polignac number, because 2042431422141 - 22 = 2042431422137 is a prime.

It is a super-2 number, since 2×20424314221412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042431422099 and 2042431422108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042431492141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17816755 + ... + 17931023.

It is an arithmetic number, because the mean of its divisors is an integer number (50598756000).

Almost surely, 22042431422141 is an apocalyptic number.

It is an amenable number.

2042431422141 is a deficient number, since it is larger than the sum of its proper divisors (1195888961859).

2042431422141 is a wasteful number, since it uses less digits than its factorization.

2042431422141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115314.

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

Adding to 2042431422141 its reverse (1412241342402), we get a palindrome (3454672764543).

The spelling of 2042431422141 in words is "two trillion, forty-two billion, four hundred thirty-one million, four hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 11 19 29 33 57 87 209 319 551 627 957 983 1653 2949 6061 10813 18183 18677 28507 32439 56031 85521 114269 205447 313577 342807 541633 616341 940731 1256959 1624899 2171111 3313801 3770877 5957963 6513333 9941403 17873889 23882221 36451811 62962219 71646663 109355433 112326427 188886657 336979281 692584409 1235590697 2077753227 2134202113 3257466383 3706772091 6402606339 9772399149 23476223243 35832130213 61891861277 70428669729 107496390639 185675583831 680810474047 2042431422141