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14125984860 = 22351330758991
BaseRepresentation
bin11010010011111100…
…10110110001011100
31100110110112101022110
431021332112301130
5212412223003420
610253412514020
71010024614221
oct151176266134
940413471273
1014125984860
115a99828559
1228a291b910
13144174cc30
1498010d948
1557a21bee0
hex349f96c5c

14125984860 has 96 divisors (see below), whose sum is σ = 42734748672. Its totient is φ = 3465780480.

The previous prime is 14125984849. The next prime is 14125984867. The reversal of 14125984860 is 6848952141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125984867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209965 + ... + 268955.

It is an arithmetic number, because the mean of its divisors is an integer number (445153632).

Almost surely, 214125984860 is an apocalyptic number.

14125984860 is a gapful number since it is divisible by the number (10) 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 14125984860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21367374336).

14125984860 is an abundant number, since it is smaller than the sum of its proper divisors (28608763812).

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

14125984860 is a wasteful number, since it uses less digits than its factorization.

14125984860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59323 (or 59321 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 14125984860 in words is "fourteen billion, one hundred twenty-five million, nine hundred eighty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 307 390 614 780 921 1228 1535 1842 3070 3684 3991 4605 6140 7982 9210 11973 15964 18420 19955 23946 39910 47892 58991 59865 79820 117982 119730 176973 235964 239460 294955 353946 589910 707892 766883 884865 1179820 1533766 1769730 2300649 3067532 3539460 3834415 4601298 7668830 9202596 11503245 15337660 18110237 23006490 36220474 46012980 54330711 72440948 90551185 108661422 181102370 217322844 235433081 271653555 362204740 470866162 543307110 706299243 941732324 1086614220 1177165405 1412598486 2354330810 2825196972 3531496215 4708661620 7062992430 14125984860