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10042041401025 = 352612211170537
BaseRepresentation
bin1001001000100001100001…
…0011110111111011000001
31022120000021010112201002020
42102020120103313323001
52304012100044313100
633205130010112053
72054341101351504
oct222103023677301
938500233481066
1010042041401025
113221895636947
12116226b41b629
1357ac6411c58a
1426a07489113b
1512633ac695a0
hex922184f7ec1

10042041401025 has 72 divisors (see below), whose sum is σ = 16959578437152. Its totient is φ = 5242958784000.

The previous prime is 10042041401003. The next prime is 10042041401033. The reversal of 10042041401025 is 52010414024001.

It is not a de Polignac number, because 10042041401025 - 215 = 10042041368257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042041400986 and 10042041401004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58799557 + ... + 58970093.

It is an arithmetic number, because the mean of its divisors is an integer number (235549700516).

Almost surely, 210042041401025 is an apocalyptic number.

10042041401025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042041401025 is a deficient number, since it is larger than the sum of its proper divisors (6917537036127).

10042041401025 is a wasteful number, since it uses less digits than its factorization.

10042041401025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170883 (or 170817 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10042041401025 its reverse (52010414024001), we get a palindrome (62052455425026).

The spelling of 10042041401025 in words is "ten trillion, forty-two billion, forty-one million, four hundred one thousand, twenty-five".

Divisors: 1 3 5 15 25 61 75 183 211 305 633 915 1055 1525 3165 3721 4575 5275 11163 12871 15825 18605 38613 55815 64355 93025 170537 193065 279075 321775 511611 785131 852685 965325 2355393 2558055 3925655 4263425 10402757 11776965 12790275 19628275 31208271 35983307 52013785 58884825 107949921 156041355 179916535 260068925 539749605 634568177 780206775 899582675 1903704531 2194981727 2698748025 3172840885 6584945181 9518522655 10974908635 15864204425 32924725905 47592613275 54874543175 133893885347 164623629525 401681656041 669469426735 2008408280205 3347347133675 10042041401025