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4405052540241 = 331925423337759
BaseRepresentation
bin100000000011010000110…
…0101111000010101010001
3120121010012200111201011000
41000012201211320111101
51034133021422241431
613211353031412213
7633153210536133
oct100064145702521
916533180451130
104405052540241
111449199357261
125b188b224069
1325c519130052
141132c455d053
15798bb2379e6
hex401a1978551

4405052540241 has 32 divisors (see below), whose sum is σ = 6869768192000. Its totient is φ = 2782020775824.

The previous prime is 4405052540179. The next prime is 4405052540353. The reversal of 4405052540241 is 1420452505044.

4405052540241 is a `hidden beast` number, since 4 + 4 + 0 + 50 + 525 + 40 + 2 + 41 = 666.

It is not a de Polignac number, because 4405052540241 - 219 = 4405052015953 is a prime.

It is a super-3 number, since 3×44050525402413 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4405052540196 and 4405052540205.

It is not an unprimeable number, because it can be changed into a prime (4405052544241) 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, 12873120 + ... + 13210878.

It is an arithmetic number, because the mean of its divisors is an integer number (214680256000).

Almost surely, 24405052540241 is an apocalyptic number.

It is an amenable number.

4405052540241 is a deficient number, since it is larger than the sum of its proper divisors (2464715651759).

4405052540241 is a wasteful number, since it uses less digits than its factorization.

4405052540241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363210 (or 363204 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 4405052540241 in words is "four trillion, four hundred five billion, fifty-two million, five hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 25423 76269 228807 337759 483037 686421 1013277 1449111 3039831 4347333 6417421 9119493 13041999 19252263 57756789 173270367 8586847057 25760541171 77281623513 163150094083 231844870539 489450282249 1468350846747 4405052540241