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146374106000 = 245373187053
BaseRepresentation
bin1000100001010010010…
…0111001101110010000
3111222211001201000101012
42020110210321232100
54344233232343000
6151124321030052
713401200241503
oct2102444715620
9458731630335
10146374106000
1157093404341
1224450485328
1310a59304255
147127dc113a
153c1a605735
hex2214939b90

146374106000 has 40 divisors (see below), whose sum is σ = 353932593144. Its totient is φ = 58549641600.

The previous prime is 146374105981. The next prime is 146374106029. The reversal of 146374106000 is 601473641.

It can be written as a sum of positive squares in 4 ways, for example, as 9249053584 + 137125052416 = 96172^2 + 370304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36591527 + ... + 36595526.

Almost surely, 2146374106000 is an apocalyptic number.

146374106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146374106000 is an abundant number, since it is smaller than the sum of its proper divisors (207558487144).

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

146374106000 is an equidigital number, since it uses as much as digits as its factorization.

146374106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73187076 (or 73187060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 146374106000 its reverse (601473641), we get a palindrome (146975579641).

The spelling of 146374106000 in words is "one hundred forty-six billion, three hundred seventy-four million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 73187053 146374106 292748212 365935265 585496424 731870530 1170992848 1463741060 1829676325 2927482120 3659352650 5854964240 7318705300 9148381625 14637410600 18296763250 29274821200 36593526500 73187053000 146374106000