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45362140000 = 255410132239
BaseRepresentation
bin101010001111110010…
…110101001101100000
311100002100212110202021
4222033302311031200
51220400201440000
632501124031224
73164054554012
oct521762651540
9140070773667
1045362140000
1118268822201
12895b832514
13437bc57c78
1422a47ba1b2
1512a762411a
hexa8fcb5360

45362140000 has 120 divisors (see below), whose sum is σ = 111757726080. Its totient is φ = 18118848000.

The previous prime is 45362139923. The next prime is 45362140049. The reversal of 45362140000 is 4126354.

45362140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 20258881 + ... + 20261119.

It is an arithmetic number, because the mean of its divisors is an integer number (931314384).

Almost surely, 245362140000 is an apocalyptic number.

45362140000 is a gapful number since it is divisible by the number (40) 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 45362140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55878863040).

45362140000 is an abundant number, since it is smaller than the sum of its proper divisors (66395586080).

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

45362140000 is a wasteful number, since it uses less digits than its factorization.

45362140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45362140000 its reverse (4126354), we get a palindrome (45366266354).

The spelling of 45362140000 in words is "forty-five billion, three hundred sixty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1013 1250 2000 2026 2239 2500 4000 4052 4478 5000 5065 8104 8956 10000 10130 11195 16208 17912 20000 20260 22390 25325 32416 35824 40520 44780 50650 55975 71648 81040 89560 101300 111950 126625 162080 179120 202600 223900 253250 279875 358240 405200 447800 506500 559750 633125 810400 895600 1013000 1119500 1266250 1399375 1791200 2026000 2239000 2268107 2532500 2798750 4052000 4478000 4536214 5065000 5597500 8956000 9072428 10130000 11195000 11340535 18144856 20260000 22390000 22681070 36289712 44780000 45362140 56702675 72579424 90724280 113405350 181448560 226810700 283513375 362897120 453621400 567026750 907242800 1134053500 1417566875 1814485600 2268107000 2835133750 4536214000 5670267500 9072428000 11340535000 22681070000 45362140000