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10145242260041 = 721723529528799
BaseRepresentation
bin1001001110100001111110…
…0011111010001001001001
31022220212122101011112102212
42103220133203322021021
52312204424004310131
633324354314434505
72064653363235500
oct223503743721111
938825571145385
1010145242260041
113261633851779
12117a271132a35
135878ccb0b825
14271064a81837
15128d7aec1a2b
hex93a1f8fa249

10145242260041 has 24 divisors (see below), whose sum is σ = 13039117171200. Its totient is φ = 7828553749632.

The previous prime is 10145242260001. The next prime is 10145242260077. The reversal of 10145242260041 is 14006224254101.

10145242260041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145242260041 - 210 = 10145242259017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145242260001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264745241 + ... + 264783558.

It is an arithmetic number, because the mean of its divisors is an integer number (543296548800).

Almost surely, 210145242260041 is an apocalyptic number.

It is an amenable number.

10145242260041 is a deficient number, since it is larger than the sum of its proper divisors (2893874911159).

10145242260041 is a wasteful number, since it uses less digits than its factorization.

10145242260041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529528853 (or 529528846 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 10145242260041 in words is "ten trillion, one hundred forty-five billion, two hundred forty-two million, two hundred sixty thousand, forty-one".

Divisors: 1 7 17 23 49 119 161 391 833 1127 2737 19159 529528799 3706701593 9001989583 12179162377 25946911151 63013927081 85254136639 207045760409 441097489567 596778956473 1449320322863 10145242260041