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14057657700 = 22352414724317
BaseRepresentation
bin11010001011110011…
…01101010101100100
31100021200222000001220
431011321231111210
5212242230021300
610242532220340
71005235055532
oct150571552544
940250860056
1014057657700
115a641aa329
122883a6a6b0
131430548968
14975005152
15574221da0
hex345e6d564

14057657700 has 144 divisors (see below), whose sum is σ = 42553776384. Its totient is φ = 3579315200.

The previous prime is 14057657689. The next prime is 14057657711. The reversal of 14057657700 is 775675041.

It is an interprime number because it is at equal distance from previous prime (14057657689) and next prime (14057657711).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565942 + ... + 590258.

It is an arithmetic number, because the mean of its divisors is an integer number (295512336).

Almost surely, 214057657700 is an apocalyptic number.

14057657700 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 14057657700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276888192).

14057657700 is an abundant number, since it is smaller than the sum of its proper divisors (28496118684).

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

14057657700 is a wasteful number, since it uses less digits than its factorization.

14057657700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24422 (or 24415 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 14057657700 in words is "fourteen billion, fifty-seven million, six hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 47 50 60 75 82 94 100 123 141 150 164 188 205 235 246 282 300 410 470 492 564 615 705 820 940 1025 1175 1230 1410 1927 2050 2350 2460 2820 3075 3525 3854 4100 4700 5781 6150 7050 7708 9635 11562 12300 14100 19270 23124 24317 28905 38540 48175 48634 57810 72951 96350 97268 115620 121585 144525 145902 192700 243170 289050 291804 364755 486340 578100 607925 729510 996997 1142899 1215850 1459020 1823775 1993994 2285798 2431700 2990991 3428697 3647550 3987988 4571596 4984985 5714495 5981982 6857394 7295100 9969970 11428990 11963964 13714788 14954955 17143485 19939940 22857980 24924925 28572475 29909910 34286970 46858859 49849850 57144950 59819820 68573940 74774775 85717425 93717718 99699700 114289900 140576577 149549550 171434850 187435436 234294295 281153154 299099100 342869700 468588590 562306308 702882885 937177180 1171471475 1405765770 2342942950 2811531540 3514414425 4685885900 7028828850 14057657700