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10204026021441 = 337289757114479
BaseRepresentation
bin1001010001111100111101…
…0110001010011001000001
31100010111101010012000111000
42110133033112022121001
52314140321130141231
633411355334442213
72102134164043200
oct224371726123101
940114333160430
1010204026021441
11328455974176a
121189737803369
1359030a5aa1b5
14273c3dbb9237
1512a66ba7c6e6
hex947cf58a641

10204026021441 has 96 divisors (see below), whose sum is σ = 17806402368000. Its totient is φ = 5757690242304.

The previous prime is 10204026021407. The next prime is 10204026021467. The reversal of 10204026021441 is 14412062040201.

10204026021441 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 0 + 2 + 602 + 14 + 41 = 666.

It is not a de Polignac number, because 10204026021441 - 219 = 10204025497153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10204026021341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89077240 + ... + 89191718.

It is an arithmetic number, because the mean of its divisors is an integer number (185483358000).

Almost surely, 210204026021441 is an apocalyptic number.

It is an amenable number.

10204026021441 is a deficient number, since it is larger than the sum of its proper divisors (7602376346559).

10204026021441 is a wasteful number, since it uses less digits than its factorization.

10204026021441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115348 (or 115335 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10204026021441 its reverse (14412062040201), we get a palindrome (24616088061642).

The spelling of 10204026021441 in words is "ten trillion, two hundred four billion, twenty-six million, twenty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 89 147 189 267 441 623 757 801 1323 1869 2271 2403 4361 5299 5607 6813 13083 15897 16821 20439 37093 39249 47691 67373 111279 114479 117747 143073 202119 333837 343437 471611 606357 801353 1001511 1030311 1414833 1819071 2404059 3090933 3301277 4244499 5609471 7212177 9903831 10188631 12733497 16828413 21636531 29711493 30565893 50485239 71320417 86660603 89134479 91697679 151455717 213961251 259981809 275093037 499242919 606624221 641883753 779945427 1497728757 1819872663 1925651259 2339836281 4246369547 4493186271 5459617989 7712793667 12739108641 13479558813 16378853967 23138381001 38217325923 53989555669 69415143003 114651977769 161968667007 208245429009 377926889683 485906001021 1133780669049 1457718003063 3401342007147 10204026021441