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14042403984 = 2437376118517
BaseRepresentation
bin11010001001111111…
…00001010010010000
31100020122021000220110
431010333201102100
5212224323411414
610241225241320
71004661315210
oct150477412220
940218230813
1014042403984
115a56630a54
12287a933240
13142a3379ab
14972d94240
15572c0c459
hex344fe1490

14042403984 has 160 divisors (see below), whose sum is σ = 43279380736. Its totient is φ = 3839477760.

The previous prime is 14042403961. The next prime is 14042403997. The reversal of 14042403984 is 48930424041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749094 + ... + 767610.

Almost surely, 214042403984 is an apocalyptic number.

14042403984 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 14042403984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21639690368).

14042403984 is an abundant number, since it is smaller than the sum of its proper divisors (29236976752).

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

14042403984 is a wasteful number, since it uses less digits than its factorization.

14042403984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 14042403984 in words is "fourteen billion, forty-two million, four hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 61 74 84 111 112 122 148 168 183 222 244 259 296 336 366 427 444 488 518 592 732 777 854 888 976 1036 1281 1464 1554 1708 1776 2072 2257 2562 2928 3108 3416 4144 4514 5124 6216 6771 6832 9028 10248 12432 13542 15799 18056 18517 20496 27084 31598 36112 37034 47397 54168 55551 63196 74068 94794 108336 111102 126392 129619 148136 189588 222204 252784 259238 296272 379176 388857 444408 518476 685129 758352 777714 888816 1036952 1129537 1370258 1555428 2055387 2073904 2259074 2740516 3110856 3388611 4110774 4518148 4795903 5481032 6221712 6777222 7906759 8221548 9036296 9591806 10962064 13554444 14387709 15813518 16443096 18072592 19183612 23720277 27108888 28775418 31627036 32886192 38367224 41792869 47440554 54217776 57550836 63254072 76734448 83585738 94881108 115101672 125378607 126508144 167171476 189762216 230203344 250757214 292550083 334342952 379524432 501514428 585100166 668685904 877650249 1003028856 1170200332 1755300498 2006057712 2340400664 3510600996 4680801328 7021201992 14042403984