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2041322000424 = 233740929708377
BaseRepresentation
bin11101101101001000010…
…001011101000000101000
321020011000020110222010020
4131231020101131000220
5231421111413003144
64201434222520440
7300323601466350
oct35551021350050
97204006428106
102041322000424
117177a1063363
1228b756736120
1311a65a4856b5
1470b2c867b60
1538175a9d419
hex1db4845d028

2041322000424 has 64 divisors (see below), whose sum is σ = 5846608790400. Its totient is φ = 581808835584.

The previous prime is 2041322000411. The next prime is 2041322000453. The reversal of 2041322000424 is 4240002231402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2041322000394 and 2041322000403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14785477 + ... + 14922900.

It is an arithmetic number, because the mean of its divisors is an integer number (91353262350).

Almost surely, 22041322000424 is an apocalyptic number.

2041322000424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041322000424 is an abundant number, since it is smaller than the sum of its proper divisors (3805286789976).

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

2041322000424 is a wasteful number, since it uses less digits than its factorization.

2041322000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29708802 (or 29708798 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2041322000424 its reverse (4240002231402), we get a palindrome (6281324231826).

The spelling of 2041322000424 in words is "two trillion, forty-one billion, three hundred twenty-two million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2454 2863 3272 4908 5726 8589 9816 11452 17178 22904 34356 68712 29708377 59416754 89125131 118833508 178250262 207958639 237667016 356500524 415917278 623875917 713001048 831834556 1247751834 1663669112 2495503668 4991007336 12150726193 24301452386 36452178579 48602904772 72904357158 85055083351 97205809544 145808714316 170110166702 255165250053 291617428632 340220333404 510330500106 680440666808 1020661000212 2041322000424