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414121104124 = 2271310903104347
BaseRepresentation
bin1100000011010111000…
…10101001001011111100
31110120220210220210012021
412001223202221023330
523241110000312444
6514124500245524
741630210206540
oct6015342511374
91416823823167
10414121104124
1114a69a626992
12683143a08a4
133008906c860
14160877a1a20
15ab8b49e584
hex606b8a92fc

414121104124 has 48 divisors (see below), whose sum is σ = 892043504128. Its totient is φ = 163811533248.

The previous prime is 414121104107. The next prime is 414121104139. The reversal of 414121104124 is 421401121414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3916519 + ... + 4020865.

Almost surely, 2414121104124 is an apocalyptic number.

It is an amenable number.

414121104124 is an abundant number, since it is smaller than the sum of its proper divisors (477922400004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414121104124 is a wasteful number, since it uses less digits than its factorization.

414121104124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115274 (or 115272 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 414121104124 its reverse (421401121414), we get a palindrome (835522225538).

The spelling of 414121104124 in words is "four hundred fourteen billion, one hundred twenty-one million, one hundred four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 10903 21806 43612 76321 104347 141739 152642 208694 283478 305284 417388 566956 730429 992173 1356511 1460858 1984346 2713022 2921716 3968692 5426044 9495577 18991154 37982308 1137695341 2275390682 4550781364 7963867387 14790039433 15927734774 29580078866 31855469548 59160157732 103530276031 207060552062 414121104124