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42331001501141 = 6110512269290999
BaseRepresentation
bin10011001111111111101000…
…10011101011010111010101
312112212210201021111022200122
421213333310103223113111
521022022342341014031
6230010332120121325
711626212451635413
oct1147776423532725
9175783637438618
1042331001501141
1112540527864881
1248b8046906245
131a80a47667042
14a64b8d5342b3
154d61d6dad47b
hex267ff44eb5d5

42331001501141 has 16 divisors (see below), whose sum is σ = 43085017680000. Its totient is φ = 41578958232000.

The previous prime is 42331001501137. The next prime is 42331001501149. The reversal of 42331001501141 is 14110510013324.

It is a cyclic number.

It is not a de Polignac number, because 42331001501141 - 22 = 42331001501137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42331001501141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331001501149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145322360 + ... + 145613358.

It is an arithmetic number, because the mean of its divisors is an integer number (2692813605000).

Almost surely, 242331001501141 is an apocalyptic number.

It is an amenable number.

42331001501141 is a deficient number, since it is larger than the sum of its proper divisors (754016178859).

42331001501141 is a wasteful number, since it uses less digits than its factorization.

42331001501141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294380.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 42331001501141 its reverse (14110510013324), we get a palindrome (56441511514465).

The spelling of 42331001501141 in words is "forty-two trillion, three hundred thirty-one billion, one million, five hundred one thousand, one hundred forty-one".

Divisors: 1 61 1051 2269 64111 138409 290999 2384719 17750939 145467859 305839949 660276731 18656236889 40276880591 693950844281 42331001501141