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14080098048 = 283192341953
BaseRepresentation
bin11010001110011110…
…10011111100000000
31100100021012002102220
431013033103330000
5212314001114143
610245053211040
71005626600352
oct150717237400
940307162386
1014080098048
115a75937075
12288b490a80
1314350a4a83
14977da70d2
155761a5d83
hex3473d3f00

14080098048 has 144 divisors (see below), whose sum is σ = 41161908480. Its totient is φ = 4252925952.

The previous prime is 14080098023. The next prime is 14080098059. The reversal of 14080098048 is 84089008041.

14080098048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140800980482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 314640 + ... + 356592.

Almost surely, 214080098048 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 14080098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580954240).

14080098048 is an abundant number, since it is smaller than the sum of its proper divisors (27081810432).

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

14080098048 is a wasteful number, since it uses less digits than its factorization.

14080098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42014 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 14080098048 in words is "fourteen billion, eighty million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 552 608 736 768 874 912 1104 1216 1311 1472 1748 1824 2208 2432 2622 2944 3496 3648 4416 4864 5244 5888 6992 7296 8832 10488 13984 14592 17664 20976 27968 41952 41953 55936 83904 83906 111872 125859 167808 167812 251718 335616 335624 503436 671248 797107 964919 1006872 1342496 1594214 1929838 2013744 2391321 2684992 2894757 3188428 3859676 4027488 4782642 5369984 5789514 6376856 7719352 8054976 9565284 10739968 11579028 12753712 15438704 16109952 18333461 19130568 23158056 25507424 30877408 32219904 36666922 38261136 46316112 51014848 55000383 61754816 73333844 76522272 92632224 102029696 110000766 123509632 146667688 153044544 185264448 204059392 220001532 247019264 293335376 306089088 370528896 440003064 586670752 612178176 741057792 880006128 1173341504 1760012256 2346683008 3520024512 4693366016 7040049024 14080098048