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319298840080 = 245111447250753
BaseRepresentation
bin1001010010101111011…
…00011010011000010000
31010112011111002200101221
410221113230122120100
520212411000340310
6402403414134424
732032344234253
oct4512754323020
91115144080357
10319298840080
11113460964510
1251a70651414
132415717c1cc
141165026b09a
15848bac8ada
hex4a57b1a610

319298840080 has 80 divisors (see below), whose sum is σ = 810420879744. Its totient is φ = 116027965440.

The previous prime is 319298839999. The next prime is 319298840089. The reversal of 319298840080 is 80048892913.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (319298840089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147984 + ... + 1398736.

Almost surely, 2319298840080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319298840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405210439872).

319298840080 is an abundant number, since it is smaller than the sum of its proper divisors (491122039664).

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

319298840080 is a wasteful number, since it uses less digits than its factorization.

319298840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252224 (or 252218 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 319298840080 in words is "three hundred nineteen billion, two hundred ninety-eight million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1447 2894 5788 7235 11576 14470 15917 23152 28940 31834 57880 63668 79585 115760 127336 159170 250753 254672 318340 501506 636680 1003012 1253765 1273360 2006024 2507530 2758283 4012048 5015060 5516566 10030120 11033132 13791415 20060240 22066264 27582830 44132528 55165660 110331320 220662640 362839591 725679182 1451358364 1814197955 2902716728 3628395910 3991235501 5805433456 7256791820 7982471002 14513583640 15964942004 19956177505 29027167280 31929884008 39912355010 63859768016 79824710020 159649420040 319298840080