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1002240314004 = 223401673309479
BaseRepresentation
bin11101001010110100010…
…11011000101010010100
310112210221211222011112210
432211122023120222110
5112410042010022004
62044231200113420
7132260310051516
oct16453213305224
93483854864483
101002240314004
1135705858aa76
121422a8305870
1373684473927
1436719bb9bb6
151b10d298089
hexe95a2d8a94

1002240314004 has 48 divisors (see below), whose sum is σ = 2347883637120. Its totient is φ = 332750745600.

The previous prime is 1002240314003. The next prime is 1002240314071. The reversal of 1002240314004 is 4004130422001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002240314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083737 + ... + 3393215.

It is an arithmetic number, because the mean of its divisors is an integer number (48914242440).

Almost surely, 21002240314004 is an apocalyptic number.

It is an amenable number.

1002240314004 is an abundant number, since it is smaller than the sum of its proper divisors (1345643323116).

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

1002240314004 is a wasteful number, since it uses less digits than its factorization.

1002240314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310560 (or 310558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1002240314004 its reverse (4004130422001), we get a palindrome (5006370736005).

The spelling of 1002240314004 in words is "one trillion, two billion, two hundred forty million, three hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 401 673 802 1203 1346 1604 2019 2406 2692 4038 4812 8076 269873 309479 539746 618958 809619 928437 1079492 1237916 1619238 1856874 3238476 3713748 124101079 208279367 248202158 372303237 416558734 496404316 624838101 744606474 833117468 1249676202 1489212948 2499352404 83520026167 167040052334 250560078501 334080104668 501120157002 1002240314004