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401121414440 = 23517589884433
BaseRepresentation
bin1011101011001001011…
…00110000110100101000
31102100100211201010101222
411311210230300310220
523032444040230230
6504134520001212
740660106523605
oct5654454606450
91370324633358
10401121414440
1114512964369a
12658a6900208
132ba96a79196
14155b30b76ac
15a67a0ae6e5
hex5d64b30d28

401121414440 has 32 divisors (see below), whose sum is σ = 955612783080. Its totient is φ = 151010414592.

The previous prime is 401121414439. The next prime is 401121414451. The reversal of 401121414440 is 44414121104.

It can be written as a sum of positive squares in 4 ways, for example, as 316962244036 + 84159170404 = 562994^2 + 290102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294941537 + ... + 294942896.

Almost surely, 2401121414440 is an apocalyptic number.

401121414440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401121414440 is an abundant number, since it is smaller than the sum of its proper divisors (554491368640).

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

401121414440 is a wasteful number, since it uses less digits than its factorization.

401121414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589884461 (or 589884457 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 401121414440 its reverse (44414121104), we get a palindrome (445535535544).

The spelling of 401121414440 in words is "four hundred one billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 589884433 1179768866 2359537732 2949422165 4719075464 5898844330 10028035361 11797688660 20056070722 23595377320 40112141444 50140176805 80224282888 100280353610 200560707220 401121414440