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990414311341 = 71317640216103
BaseRepresentation
bin11100110100110010100…
…10110000111110101101
310111200102200020222200011
432122121102300332231
5112211332030430331
62034553503533221
7131361250512610
oct16323122607655
93450380228604
10990414311341
1135203a071154
1213bb478ba211
137251b390a10
1435d17332177
151ab69e473b1
hexe6994b0fad

990414311341 has 16 divisors (see below), whose sum is σ = 1290675665664. Its totient is φ = 737528949504.

The previous prime is 990414311317. The next prime is 990414311371. The reversal of 990414311341 is 143113414099.

It is a cyclic number.

It is not a de Polignac number, because 990414311341 - 213 = 990414303149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 990414311294 and 990414311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990414311371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320106505 + ... + 320109598.

It is an arithmetic number, because the mean of its divisors is an integer number (80667229104).

Almost surely, 2990414311341 is an apocalyptic number.

990414311341 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

990414311341 is a deficient number, since it is larger than the sum of its proper divisors (300261354323).

990414311341 is a wasteful number, since it uses less digits than its factorization.

990414311341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640216140.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 990414311341 in words is "nine hundred ninety billion, four hundred fourteen million, three hundred eleven thousand, three hundred forty-one".

Divisors: 1 7 13 17 91 119 221 1547 640216103 4481512721 8322809339 10883673751 58259665373 76185716257 141487758763 990414311341