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14857419700 = 225289218757
BaseRepresentation
bin11011101011001001…
…00011101110110100
31102100102212010021201
431311210203232310
5220411444412300
610454142022244
71034115661264
oct156544435664
942312763251
1014857419700
116334698362
122a67877984
13152a147406
14a0d30b7a4
155be54d66a
hex375923bb4

14857419700 has 54 divisors (see below), whose sum is σ = 32608663346. Its totient is φ = 5875879680.

The previous prime is 14857419691. The next prime is 14857419719. The reversal of 14857419700 is 791475841.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 7886505636 + 6970914064 = 88806^2 + 83492^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 782722 + ... + 801478.

Almost surely, 214857419700 is an apocalyptic number.

14857419700 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 14857419700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304331673).

14857419700 is an abundant number, since it is smaller than the sum of its proper divisors (17751243646).

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

14857419700 is a wasteful number, since it uses less digits than its factorization.

14857419700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18853 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 14857419700 in words is "fourteen billion, eight hundred fifty-seven million, four hundred nineteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 7921 8900 15842 18757 31684 37514 39605 75028 79210 93785 158420 187570 198025 375140 396050 468925 792100 937850 1669373 1875700 3338746 6677492 8346865 16693730 33387460 41734325 83468650 148574197 166937300 297148394 594296788 742870985 1485741970 2971483940 3714354925 7428709850 14857419700