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1040001034344 = 2331721011484579
BaseRepresentation
bin11110010001001001110…
…01000110100001101000
310200102102110102111211120
433020210321012201220
5114014410231044334
62113434143255240
7135065123635266
oct17104471064150
93612373374746
101040001034344
11371075520068
121496862aa520
13770c1620b2c
143849cc03436
151c0bd3a4949
hexf224e46868

1040001034344 has 96 divisors (see below), whose sum is σ = 2789288287200. Its totient is φ = 323044172800.

The previous prime is 1040001034343. The next prime is 1040001034439. The reversal of 1040001034344 is 4434301000401.

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

It is not an unprimeable number, because it can be changed into a prime (1040001034343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41754 + ... + 1442825.

It is an arithmetic number, because the mean of its divisors is an integer number (29055086325).

Almost surely, 21040001034344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040001034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394644143600).

1040001034344 is an abundant number, since it is smaller than the sum of its proper divisors (1749287252856).

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

1040001034344 is a wasteful number, since it uses less digits than its factorization.

1040001034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484723 (or 1484702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1040001034344 its reverse (4434301000401), we get a palindrome (5474302034745).

The spelling of 1040001034344 in words is "one trillion, forty billion, one million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 289 303 404 408 578 606 808 867 1156 1212 1717 1734 2312 2424 3434 3468 5151 6868 6936 10302 13736 20604 29189 41208 58378 87567 116756 175134 233512 350268 700536 1484579 2969158 4453737 5938316 8907474 11876632 17814948 25237843 35629896 50475686 75713529 100951372 149942479 151427058 201902744 299884958 302854116 429043331 449827437 599769916 605708232 858086662 899654874 1199539832 1287129993 1716173324 1799309748 2549022143 2574259986 3432346648 3598619496 5098044286 5148519972 7647066429 10196088572 10297039944 15294132858 20392177144 30588265716 43333376431 61176531432 86666752862 130000129293 173333505724 260000258586 346667011448 520000517172 1040001034344