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13833187014241 = 74321493715859
BaseRepresentation
bin1100100101001100101000…
…1100101011011001100001
31210222102212120212021021201
43021103022030223121201
53303120331333423431
645230513421521201
72625262161356110
oct311231214533141
953872776767251
1013833187014241
114453692491491
121674b6a413201
1379460536cb0a
1435b75bb9dc77
1518ec76288461
hexc94ca32b661

13833187014241 has 24 divisors (see below), whose sum is σ = 16196429856960. Its totient is φ = 11573499633696.

The previous prime is 13833187014223. The next prime is 13833187014253. The reversal of 13833187014241 is 14241078133831.

It is not a de Polignac number, because 13833187014241 - 213 = 13833187006049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13833187014191 and 13833187014200.

It is not an unprimeable number, because it can be changed into a prime (13833187014641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18965970 + ... + 19681828.

It is an arithmetic number, because the mean of its divisors is an integer number (674851244040).

Almost surely, 213833187014241 is an apocalyptic number.

It is an amenable number.

13833187014241 is a deficient number, since it is larger than the sum of its proper divisors (2363242842719).

13833187014241 is an equidigital number, since it uses as much as digits as its factorization.

13833187014241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717445 (or 717402 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 13833187014241 in words is "thirteen trillion, eight hundred thirty-three billion, one hundred eighty-seven million, fourteen thousand, two hundred forty-one".

Divisors: 1 7 43 301 1493 1849 10451 12943 64199 449393 715859 2760557 5011013 19323899 30781937 215473559 1068777487 1323623291 7481442409 9265363037 45957431941 321702023587 1976169573463 13833187014241