Search a number
-
+
14610640000 = 27541116603
BaseRepresentation
bin11011001101101110…
…01010110010000000
31101201020111102011211
431212313022302000
5214410310440000
610413444415504
71025031251035
oct154667126200
941636442154
1014610640000
1162183640a0
1229b90a7594
1314bac91718
149c862d38c
155a7a537ba
hex366dcac80

14610640000 has 160 divisors (see below), whose sum is σ = 39681235440. Its totient is φ = 5312640000.

The previous prime is 14610639961. The next prime is 14610640019. The reversal of 14610640000 is 4601641.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 871699 + ... + 888301.

Almost surely, 214610640000 is an apocalyptic number.

14610640000 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 14610640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840617720).

14610640000 is an abundant number, since it is smaller than the sum of its proper divisors (25070595440).

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

14610640000 is an equidigital number, since it uses as much as digits as its factorization.

14610640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16648 (or 16621 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 14610640000 in words is "fourteen billion, six hundred ten million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 16603 17600 20000 22000 27500 33206 35200 40000 44000 55000 66412 80000 83015 88000 110000 132824 166030 176000 182633 220000 265648 332060 365266 415075 440000 531296 664120 730532 830150 880000 913165 1062592 1328240 1461064 1660300 1826330 2075375 2125184 2656480 2922128 3320600 3652660 4150750 4565825 5312960 5844256 6641200 7305320 8301500 9131650 10376875 10625920 11688512 13282400 14610640 16603000 18263300 20753750 22829125 23377024 26564800 29221280 33206000 36526600 41507500 45658250 53129600 58442560 66412000 73053200 83015000 91316500 114145625 116885120 132824000 146106400 166030000 182633000 228291250 265648000 292212800 332060000 365266000 456582500 584425600 664120000 730532000 913165000 1328240000 1461064000 1826330000 2922128000 3652660000 7305320000 14610640000