Search a number
-
+
14204420209944 = 2332619733341831
BaseRepresentation
bin1100111010110011100101…
…1010111011110100011000
31212021221002110121120101100
43032230321122323310120
53330211123033204234
650113230501351400
72664143526435036
oct316547132736430
955257073546340
1014204420209944
114587073999a58
121714ab3708560
137c0617c60c63
143716d7609556
1519975244e399
hexceb396bbd18

14204420209944 has 96 divisors (see below), whose sum is σ = 39504069390240. Its totient is φ = 4609174579200.

The previous prime is 14204420209943. The next prime is 14204420210083. The reversal of 14204420209944 is 44990202440241.

14204420209944 is a `hidden beast` number, since 14 + 2 + 0 + 4 + 420 + 209 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14204420209944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204420209943) 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, 16244892 + ... + 17096939.

It is an arithmetic number, because the mean of its divisors is an integer number (411500722815).

Almost surely, 214204420209944 is an apocalyptic number.

It is an amenable number.

14204420209944 is an abundant number, since it is smaller than the sum of its proper divisors (25299649180296).

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

14204420209944 is a wasteful number, since it uses less digits than its factorization.

14204420209944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33342001 (or 33341994 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14204420209944 in words is "fourteen trillion, two hundred four billion, four hundred twenty million, two hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 97 122 183 194 244 291 366 388 488 549 582 732 776 873 1098 1164 1464 1746 2196 2328 3492 4392 5917 6984 11834 17751 23668 35502 47336 53253 71004 106506 142008 213012 426024 33341831 66683662 100025493 133367324 200050986 266734648 300076479 400101972 600152958 800203944 1200305916 2033851691 2400611832 3234157607 4067703382 6101555073 6468315214 8135406764 9702472821 12203110146 12936630428 16270813528 18304665219 19404945642 24406220292 25873260856 29107418463 36609330438 38809891284 48812440584 58214836926 73218660876 77619782568 116429673852 146437321752 197283614027 232859347704 394567228054 591850842081 789134456108 1183701684162 1578268912216 1775552526243 2367403368324 3551105052486 4734806736648 7102210104972 14204420209944