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14218671240984 = 2337139751781001
BaseRepresentation
bin1100111011101000101011…
…0110010011011100011000
31212100021212122102221210210
43032322022312103130120
53330424314314202414
650123544542411120
72665156633261350
oct316721266233430
955307778387723
1014218671240984
114592117265561
121717810290aa0
137c1a795838c2
1437228a189b60
15199cd861be59
hexcee8ad93718

14218671240984 has 128 divisors (see below), whose sum is σ = 40922988019200. Its totient is φ = 4032664704000.

The previous prime is 14218671240973. The next prime is 14218671241001. The reversal of 14218671240984 is 48904217681241.

It is a super-2 number, since 2×142186712409842 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175496484 + ... + 175577484.

It is an arithmetic number, because the mean of its divisors is an integer number (319710843900).

Almost surely, 214218671240984 is an apocalyptic number.

14218671240984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14218671240984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20461494009600).

14218671240984 is an abundant number, since it is smaller than the sum of its proper divisors (26704316778216).

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

14218671240984 is a wasteful number, since it uses less digits than its factorization.

14218671240984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88673 (or 88669 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 14218671240984 in words is "fourteen trillion, two hundred eighteen billion, six hundred seventy-one million, two hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2919 3336 3892 5838 7517 7784 11676 15034 22551 23352 30068 45102 52619 60136 81001 90204 105238 157857 162002 180408 210476 243003 315714 324004 420952 486006 567007 631428 648008 972012 1044863 1134014 1262856 1701021 1944024 2089726 2268028 3134589 3402042 4179452 4536056 6269178 6804084 7314041 8358904 11259139 12538356 13608168 14628082 21942123 22518278 25076712 29256164 33777417 43884246 45036556 58512328 67554834 78813973 87768492 90073112 135109668 157627946 175536984 236441919 270219336 315255892 472883838 608884517 630511784 945767676 1217769034 1826653551 1891535352 2435538068 3653307102 4262191619 4871076136 7306614204 8524383238 12786574857 14613228408 17048766476 25573149714 34097532952 51146299428 84634947863 102292598856 169269895726 253904843589 338539791452 507809687178 592444635041 677079582904 1015619374356 1184889270082 1777333905123 2031238748712 2369778540164 3554667810246 4739557080328 7109335620492 14218671240984