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14042011400442 = 232731072933397
BaseRepresentation
bin1100110001010110100100…
…0110011111100011111010
31211201101212220210012221200
43030111221012133203322
53320031014404303232
645510451101115030
72646334063354434
oct314255106374372
954641786705850
1014042011400442
1145242023a7643
1216a9529258a76
137ab20494298c
143678cbc21654
151953e929a77c
hexcc56919f8fa

14042011400442 has 72 divisors (see below), whose sum is σ = 31132092059796. Its totient is φ = 4573401450624.

The previous prime is 14042011400407. The next prime is 14042011400453. The reversal of 14042011400442 is 24400411024041.

It is a happy number.

14042011400442 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 201 + 14 + 0 + 0 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12900086205561 + 1141925194881 = 3591669^2 + 1068609^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14577288 + ... + 15510684.

Almost surely, 214042011400442 is an apocalyptic number.

14042011400442 is an abundant number, since it is smaller than the sum of its proper divisors (17090080659354).

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

14042011400442 is a wasteful number, since it uses less digits than its factorization.

14042011400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933692 (or 933582 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14042011400442 its reverse (24400411024041), we get a palindrome (38442422424483).

The spelling of 14042011400442 in words is "fourteen trillion, forty-two billion, eleven million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 73 107 146 214 219 321 438 642 657 963 1314 1926 7811 11449 15622 22898 23433 34347 46866 68694 70299 103041 140598 206082 835777 933397 1671554 1866794 2507331 2800191 5014662 5600382 7521993 8400573 15043986 16801146 68137981 99873479 136275962 199746958 204413943 299620437 408827886 599240874 613241829 898861311 1226483658 1797722622 7290763967 10686462253 14581527934 21372924506 21872291901 32059386759 43744583802 64118773518 65616875703 96178160277 131233751406 192356320554 780111744469 1560223488938 2340335233407 4680670466814 7021005700221 14042011400442