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14219370024 = 23319109523547
BaseRepresentation
bin11010011111000101…
…00101111000101000
31100200222020211200020
431033202211320220
5213110124320044
610310550240440
71012240436166
oct151742457050
940628224606
1014219370024
116037511182
12290a056120
131457bb8922
1498c69c236
15583516a19
hex34f8a5e28

14219370024 has 128 divisors (see below), whose sum is σ = 37904064000. Its totient is φ = 4432506624.

The previous prime is 14219369953. The next prime is 14219370031. The reversal of 14219370024 is 42007391241.

14219370024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1192452-1.

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 31 ways as a sum of consecutive naturals, for example, 25994919 + ... + 25995465.

It is an arithmetic number, because the mean of its divisors is an integer number (296125500).

Almost surely, 214219370024 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 14219370024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952032000).

14219370024 is an abundant number, since it is smaller than the sum of its proper divisors (23684693976).

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

14219370024 is a wasteful number, since it uses less digits than its factorization.

14219370024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 14219370024 in words is "fourteen billion, two hundred nineteen million, three hundred seventy thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 327 436 456 523 547 654 872 1046 1094 1308 1569 1641 2071 2092 2188 2616 3138 3282 4142 4184 4376 6213 6276 6564 8284 9937 10393 12426 12552 13128 16568 19874 20786 24852 29811 31179 39748 41572 49704 57007 59622 59623 62358 79496 83144 114014 119244 119246 124716 171021 178869 228028 238488 238492 249432 286081 342042 357738 456056 476984 572162 684084 715476 858243 1083133 1132837 1144324 1368168 1430952 1716486 2166266 2265674 2288648 3249399 3398511 3432972 4332532 4531348 5435539 6498798 6797022 6865944 8665064 9062696 10871078 12997596 13594044 16306617 21742156 25995192 27188088 31182829 32613234 43484312 62365658 65226468 93548487 124731316 130452936 187096974 249462632 374193948 592473751 748387896 1184947502 1777421253 2369895004 3554842506 4739790008 7109685012 14219370024