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146101453050 = 23527587237043
BaseRepresentation
bin1000100000010001010…
…0110100000011111010
3111222010001122210211210
42020010110310003322
54343203432444200
6151041301103550
713361346601110
oct2100424640372
9458101583753
10146101453050
1156a63509123
12243950b7bb6
1310a1498ca47
1470ddac9ab0
153c016e9650
hex22045340fa

146101453050 has 96 divisors (see below), whose sum is σ = 414800451072. Its totient is φ = 33337586880.

The previous prime is 146101452947. The next prime is 146101453051. The reversal of 146101453050 is 50354101641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146101452999 and 146101453017.

It is not an unprimeable number, because it can be changed into a prime (146101453051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497829 + ... + 734871.

It is an arithmetic number, because the mean of its divisors is an integer number (4320838032).

Almost surely, 2146101453050 is an apocalyptic number.

146101453050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146101453050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207400225536).

146101453050 is an abundant number, since it is smaller than the sum of its proper divisors (268698998022).

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

146101453050 is a wasteful number, since it uses less digits than its factorization.

146101453050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237652 (or 237647 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 146101453050 its reverse (50354101641), we get a palindrome (196455554691).

The spelling of 146101453050 in words is "one hundred forty-six billion, one hundred one million, four hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 587 1050 1174 1761 2935 3522 4109 5870 8218 8805 12327 14675 17610 20545 24654 29350 41090 44025 61635 88050 102725 123270 205450 237043 308175 474086 616350 711129 1185215 1422258 1659301 2370430 3318602 3555645 4977903 5926075 7111290 8296505 9955806 11852150 16593010 17778225 24889515 35556450 41482525 49779030 82965050 124447575 139144241 248895150 278288482 417432723 695721205 834865446 974009687 1391442410 1948019374 2087163615 2922029061 3478606025 4174327230 4870048435 5844058122 6957212050 9740096870 10435818075 14610145305 20871636150 24350242175 29220290610 48700484350 73050726525 146101453050