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314142769680 = 24351737566059
BaseRepresentation
bin1001001001001000101…
…11100100001000010000
31010000212011001011111120
410210210113210020100
520121331022112210
6400152025442240
731460515325115
oct4444427441020
91100764034446
10314142769680
11111255449503
1250a71940380
1323814ba768c
14112c158090c
1582890e4270
hex49245e4210

314142769680 has 80 divisors (see below), whose sum is σ = 979471863360. Its totient is φ = 83287166464.

The previous prime is 314142769669. The next prime is 314142769687. The reversal of 314142769680 is 86967241413.

It is a happy number.

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 (314142769687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3741510 + ... + 3824549.

It is an arithmetic number, because the mean of its divisors is an integer number (12243398292).

Almost surely, 2314142769680 is an apocalyptic number.

314142769680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314142769680 is an abundant number, since it is smaller than the sum of its proper divisors (665329093680).

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

314142769680 is a wasteful number, since it uses less digits than its factorization.

314142769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566248 (or 7566242 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 314142769680 in words is "three hundred fourteen billion, one hundred forty-two million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 10380 13840 20760 41520 7566059 15132118 22698177 30264236 37830295 45396354 60528472 75660590 90792708 113490885 121056944 151321180 181585416 226981770 302642360 363170832 453963540 605284720 907927080 1308928207 1815854160 2617856414 3926784621 5235712828 6544641035 7853569242 10471425656 13089282070 15707138484 19633923105 20942851312 26178564140 31414276968 39267846210 52357128280 62828553936 78535692420 104714256560 157071384840 314142769680