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1414545400 = 2352101239293
BaseRepresentation
bin101010001010000…
…0011111111111000
310122120201100111101
41110110003333320
510344110423100
6352210341144
750024303032
oct12424037770
93576640441
101414545400
11666523994
1233588a7b4
131970a2218
14d5c1ac52
15842b986a
hex54503ff8

1414545400 has 96 divisors (see below), whose sum is σ = 3346660800. Its totient is φ = 555968000.

The previous prime is 1414545371. The next prime is 1414545437. The reversal of 1414545400 is 45454141.

It is a super-2 number, since 2×14145454002 = 4001877377322320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4827654 + ... + 4827946.

It is an arithmetic number, because the mean of its divisors is an integer number (34861050).

Almost surely, 21414545400 is an apocalyptic number.

1414545400 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 1414545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673330400).

1414545400 is an abundant number, since it is smaller than the sum of its proper divisors (1932115400).

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

1414545400 is a wasteful number, since it uses less digits than its factorization.

1414545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1414545400 is about 37610.4426988037. The cubic root of 1414545400 is about 1122.5498346765.

Adding to 1414545400 its reverse (45454141), we get a palindrome (1459999541).

The spelling of 1414545400 in words is "one billion, four hundred fourteen million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 239 293 404 478 505 586 808 956 1010 1172 1195 1465 1912 2020 2344 2390 2525 2930 4040 4780 5050 5860 5975 7325 9560 10100 11720 11950 14650 20200 23900 24139 29300 29593 47800 48278 58600 59186 70027 96556 118372 120695 140054 147965 193112 236744 241390 280108 295930 350135 482780 560216 591860 603475 700270 739825 965560 1183720 1206950 1400540 1479650 1750675 2413900 2801080 2959300 3501350 4827800 5918600 7002700 7072727 14005400 14145454 28290908 35363635 56581816 70727270 141454540 176818175 282909080 353636350 707272700 1414545400