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990414271 = 71117244507
BaseRepresentation
bin111011000010001…
…000010110111111
32120000122020222001
4323002020112333
54012021224041
6242140003131
733354245110
oct7302102677
92500566861
10990414271
114690769a0
122378304a7
1312a262062
1495774207
155be3b131
hex3b0885bf

990414271 has 24 divisors (see below), whose sum is σ = 1311739776. Its totient is φ = 726337920.

The previous prime is 990414263. The next prime is 990414277. The reversal of 990414271 is 172414099.

990414271 is a nontrivial binomial coefficient, being equal to C(44507, 2).

It is not a de Polignac number, because 990414271 - 23 = 990414263 is a prime.

It is a super-2 number, since 2×9904142712 = 1961840856400922882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 990414271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990414277) 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, 1 + ... + 44506.

It is an arithmetic number, because the mean of its divisors is an integer number (54655824).

Almost surely, 2990414271 is an apocalyptic number.

990414271 is the 44506-th triangular number.

990414271 is the 14836-th centered nonagonal number.

990414271 is a deficient number, since it is larger than the sum of its proper divisors (321325505).

990414271 is a wasteful number, since it uses less digits than its factorization.

990414271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44559 (or 44542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 990414271 is about 31470.8479548931. The cubic root of 990414271 is about 996.7944927021.

The spelling of 990414271 in words is "nine hundred ninety million, four hundred fourteen thousand, two hundred seventy-one".

Divisors: 1 7 11 17 77 119 187 289 1309 2023 3179 22253 44507 311549 489577 756619 3427039 5296333 8322809 12862523 58259663 90037661 141487753 990414271