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42233041441131 = 3374132911281971
BaseRepresentation
bin10011001101001001001010…
…11011101101000101101011
312112112102212021100200000220
421212210211123231011223
521013421232102104011
6225453331424101123
711616144065110002
oct1146444533550553
9175472767320026
1042233041441131
1112502a289758a2
1248a10681647a3
131a747356770a8
14a601393a7c39
154d38a1cc5506
hex2669256ed16b

42233041441131 has 32 divisors (see below), whose sum is σ = 59245195570176. Its totient is φ = 26725342176000.

The previous prime is 42233041441121. The next prime is 42233041441133. The reversal of 42233041441131 is 13114414033224.

It is a happy number.

It is not a de Polignac number, because 42233041441131 - 214 = 42233041424747 is a prime.

It is a super-2 number, since 2×422330414411312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42233041441092 and 42233041441101.

It is not an unprimeable number, because it can be changed into a prime (42233041441133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149636976 + ... + 149918946.

It is an arithmetic number, because the mean of its divisors is an integer number (1851412361568).

Almost surely, 242233041441131 is an apocalyptic number.

42233041441131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42233041441131 is a deficient number, since it is larger than the sum of its proper divisors (17012154129045).

42233041441131 is a wasteful number, since it uses less digits than its factorization.

42233041441131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314963.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 42233041441131 its reverse (13114414033224), we get a palindrome (55347455474355).

The spelling of 42233041441131 in words is "forty-two trillion, two hundred thirty-three billion, forty-one million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 37 41 111 123 1517 4551 32911 98733 281971 845913 1217707 1349351 3653121 4048053 10432927 11560811 31298781 34682433 49925987 149777961 427750007 1283250021 9279947581 27839842743 343358060497 380477850821 1030074181491 1141433552463 14077680480377 42233041441131