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10042341145000 = 23542008468229
BaseRepresentation
bin1001001000100010101000…
…1011010011100110101000
31022120001001000120021111221
42102020222023103212220
52304013203313120000
633205215434431424
72054351401213603
oct222105213234650
938501030507457
1010042341145000
113221a29855a3a
121162333892574
1357acb125a988
1426a0a25d933a
1512635722761a
hex9222a2d39a8

10042341145000 has 40 divisors (see below), whose sum is σ = 23529205314450. Its totient is φ = 4016936456000.

The previous prime is 10042341144959. The next prime is 10042341145009. The reversal of 10042341145000 is 54114324001.

It can be written as a sum of positive squares in 5 ways, for example, as 234583298244 + 9807757846756 = 484338^2 + 3131734^2 .

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

It is a super-2 number, since 2×100423411450002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10042341145009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1004229115 + ... + 1004239114.

Almost surely, 210042341145000 is an apocalyptic number.

10042341145000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042341145000 is an abundant number, since it is smaller than the sum of its proper divisors (13486864169450).

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

10042341145000 is an equidigital number, since it uses as much as digits as its factorization.

10042341145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008468255 (or 2008468236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10042341145000 its reverse (54114324001), we get a palindrome (10096455469001).

The spelling of 10042341145000 in words is "ten trillion, forty-two billion, three hundred forty-one million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2008468229 4016936458 8033872916 10042341145 16067745832 20084682290 40169364580 50211705725 80338729160 100423411450 200846822900 251058528625 401693645800 502117057250 1004234114500 1255292643125 2008468229000 2510585286250 5021170572500 10042341145000