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9145510040 = 2354347113131
BaseRepresentation
bin10001000010001110…
…10110100010011000
3212121100220001021002
420201013112202120
5122212222310130
64111300004132
7442430360402
oct104107264230
925540801232
109145510040
113973447067
121932990648
13b29969604
1462a891b72
15387d70b45
hex2211d6898

9145510040 has 64 divisors (see below), whose sum is σ = 21504130560. Its totient is φ = 3497074560.

The previous prime is 9145510037. The next prime is 9145510057. The reversal of 9145510040 is 400155419.

It is a junction number, because it is equal to n+sod(n) for n = 9145509985 and 9145510012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24275 + ... + 137405.

It is an arithmetic number, because the mean of its divisors is an integer number (336002040).

Almost surely, 29145510040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9145510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752065280).

9145510040 is an abundant number, since it is smaller than the sum of its proper divisors (12358620520).

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

9145510040 is a wasteful number, since it uses less digits than its factorization.

9145510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113232 (or 113228 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 9145510040 is about 95632.1600718085. The cubic root of 9145510040 is about 2091.2340597755.

Adding to 9145510040 its reverse (400155419), we get a palindrome (9545665459).

The spelling of 9145510040 in words is "nine billion, one hundred forty-five million, five hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 47 86 94 172 188 215 235 344 376 430 470 860 940 1720 1880 2021 4042 8084 10105 16168 20210 40420 80840 113131 226262 452524 565655 905048 1131310 2262620 4525240 4864633 5317157 9729266 10634314 19458532 21268628 24323165 26585785 38917064 42537256 48646330 53171570 97292660 106343140 194585320 212686280 228637751 457275502 914551004 1143188755 1829102008 2286377510 4572755020 9145510040