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42342440401041 = 31112971496966089
BaseRepresentation
bin10011010000010100111100…
…00111100111100010010001
312112220220020110210122101220
421220022132013213202101
521022214304220313131
6230015503143315253
711630066100656664
oct1150123607474221
9175826213718356
1042342440401041
1112545367817660
1248ba2b974bb29
131a81b4b4a2b71
14a655568136db
154d6656246e96
hex26829e1e7891

42342440401041 has 32 divisors (see below), whose sum is σ = 61641540259200. Its totient is φ = 25640198369280.

The previous prime is 42342440401013. The next prime is 42342440401139. The reversal of 42342440401041 is 14010404424324.

It is not a de Polignac number, because 42342440401041 - 219 = 42342439876753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42342440400993 and 42342440401011.

It is not an unprimeable number, because it can be changed into a prime (42342440401441) 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, 640655125 + ... + 640721213.

It is an arithmetic number, because the mean of its divisors is an integer number (1926298133100).

Almost surely, 242342440401041 is an apocalyptic number.

It is an amenable number.

42342440401041 is a deficient number, since it is larger than the sum of its proper divisors (19299099858159).

42342440401041 is a wasteful number, since it uses less digits than its factorization.

42342440401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82369.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 42342440401041 its reverse (14010404424324), we get a palindrome (56352844825365).

The spelling of 42342440401041 in words is "forty-two trillion, three hundred forty-two billion, four hundred forty million, four hundred one thousand, forty-one".

Divisors: 1 3 11 33 1297 3891 14267 14969 42801 44907 66089 164659 198267 493977 726979 2180937 19414793 58244379 85717433 213562723 257152299 640688169 942891763 989286241 2828675289 2967858723 10882148651 32646445953 1283104254577 3849312763731 14114146800347 42342440401041