Search a number
-
+
14980126224 = 24371917913109
BaseRepresentation
bin11011111001110001…
…01001011000010000
31102122222202020222210
431330320221120100
5221134403014344
610514244032120
71040135654250
oct157470513020
942588666883
1014980126224
116397988608
122aa0992640
1315496ab21b
14a2172d960
155ca1dadb9
hex37ce29610

14980126224 has 160 divisors (see below), whose sum is σ = 46818432000. Its totient is φ = 4031811072.

The previous prime is 14980126211. The next prime is 14980126237. The reversal of 14980126224 is 42262108941.

It is an interprime number because it is at equal distance from previous prime (14980126211) and next prime (14980126237).

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, 1136182 + ... + 1149290.

It is an arithmetic number, because the mean of its divisors is an integer number (292615200).

Almost surely, 214980126224 is an apocalyptic number.

14980126224 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 14980126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409216000).

14980126224 is an abundant number, since it is smaller than the sum of its proper divisors (31838305776).

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

14980126224 is a wasteful number, since it uses less digits than its factorization.

14980126224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13325 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 14980126224 in words is "fourteen billion, nine hundred eighty million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 179 228 266 304 336 358 399 456 532 537 716 798 912 1064 1074 1253 1432 1596 2128 2148 2506 2864 3192 3401 3759 4296 5012 6384 6802 7518 8592 10024 10203 13109 13604 15036 20048 20406 23807 26218 27208 30072 39327 40812 47614 52436 54416 60144 71421 78654 81624 91763 95228 104872 142842 157308 163248 183526 190456 209744 249071 275289 285684 314616 367052 380912 498142 550578 571368 629232 734104 747213 996284 1101156 1142736 1468208 1494426 1743497 1992568 2202312 2346511 2988852 3486994 3985136 4404624 4693022 5230491 5977704 6973988 7039533 9386044 10460982 11955408 13947976 14079066 16425577 18772088 20921964 27895952 28158132 32851154 37544176 41843928 44583709 49276731 56316264 65702308 83687856 89167418 98553462 112632528 131404616 133751127 178334836 197106924 262809232 267502254 312085963 356669672 394213848 535004508 624171926 713339344 788427696 936257889 1070009016 1248343852 1872515778 2140018032 2496687704 3745031556 4993375408 7490063112 14980126224