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146044250500 = 22531976919991
BaseRepresentation
bin1000100000000011101…
…0100110100110000100
3111221222002000121200211
42020000322212212010
54343044312004000
6151031455045204
713360053434611
oct2100072464604
9457862017624
10146044250500
1156a34198a95
1224379b10804
1310a05b82195
1470d6279508
153beb69a7ba
hex2200ea6984

146044250500 has 96 divisors (see below), whose sum is σ = 336201465600. Its totient is φ = 55268352000.

The previous prime is 146044250477. The next prime is 146044250507. The reversal of 146044250500 is 5052440641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146044250507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7295505 + ... + 7315495.

It is an arithmetic number, because the mean of its divisors is an integer number (3502098600).

Almost surely, 2146044250500 is an apocalyptic number.

146044250500 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 146044250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168100732800).

146044250500 is an abundant number, since it is smaller than the sum of its proper divisors (190157215100).

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

146044250500 is a wasteful number, since it uses less digits than its factorization.

146044250500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798 (or 20786 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 146044250500 in words is "one hundred forty-six billion, forty-four million, two hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 769 950 1538 1900 2375 3076 3845 4750 7690 9500 14611 15380 19225 19991 29222 38450 39982 58444 73055 76900 79964 96125 99955 146110 192250 199910 292220 365275 379829 384500 399820 499775 730550 759658 999550 1461100 1519316 1826375 1899145 1999100 2498875 3652750 3798290 4997750 7305500 7596580 9495725 9995500 15373079 18991450 30746158 37982900 47478625 61492316 76865395 94957250 153730790 189914500 292088501 307461580 384326975 584177002 768653950 1168354004 1460442505 1537307900 1921634875 2920885010 3843269750 5841770020 7302212525 7686539500 14604425050 29208850100 36511062625 73022125250 146044250500