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11423000313984 = 27374790417619
BaseRepresentation
bin1010011000111001111111…
…1000000100000010000000
31111110000202112101001121010
42212032133320010002000
52444123301040021414
640143353124200520
72256166411422330
oct246163770040200
944400675331533
1011423000313984
113704515975666
121345a2b839140
1364b251c0142c
142b6c3a2a90c0
1514c212425959
hexa639fe04080

11423000313984 has 128 divisors (see below), whose sum is σ = 35414773401600. Its totient is φ = 3194273608704.

The previous prime is 11423000313917. The next prime is 11423000314013. The reversal of 11423000313984 is 48931300032411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 45082474 + ... + 45335145.

It is an arithmetic number, because the mean of its divisors is an integer number (276677917200).

Almost surely, 211423000313984 is an apocalyptic number.

11423000313984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11423000313984 is an abundant number, since it is smaller than the sum of its proper divisors (23991773087616).

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

11423000313984 is an equidigital number, since it uses as much as digits as its factorization.

11423000313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90417690 (or 90417678 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 11423000313984 in words is "eleven trillion, four hundred twenty-three billion, three hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1974 2256 2632 2688 3008 3948 4512 5264 6016 7896 9024 10528 15792 18048 21056 31584 42112 63168 126336 90417619 180835238 271252857 361670476 542505714 632923333 723340952 1085011428 1265846666 1446681904 1898769999 2170022856 2531693332 2893363808 3797539998 4249628093 4340045712 5063386664 5786727616 7595079996 8499256186 8680091424 10126773328 11573455232 12748884279 15190159992 16998512372 17360182848 20253546656 25497768558 29747396651 30380319984 33997024744 34720365696 40507093312 50995537116 59494793302 60760639968 67994049488 81014186624 89242189953 101991074232 118989586604 121521279936 135988098976 178484379906 203982148464 237979173208 243042559872 271976197952 356968759812 407964296928 475958346416 543952395904 713937519624 815928593856 951916692832 1427875039248 1631857187712 1903833385664 2855750078496 3807666771328 5711500156992 11423000313984