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1004013432340 = 2251381148924413
BaseRepresentation
bin11101001110000111101…
…11010010111000010100
310112222112102101220122021
432213003313102320110
5112422204414313330
62045123140142524
7132352250235652
oct16470367227024
93488472356567
101004013432340
11357888454026
12142702097a44
13738a7911189
1436847495dd2
151b1b3c9167a
hexe9c3dd2e14

1004013432340 has 48 divisors (see below), whose sum is σ = 2111458461840. Its totient is φ = 401028618240.

The previous prime is 1004013432337. The next prime is 1004013432341. The reversal of 1004013432340 is 432343104001.

It can be written as a sum of positive squares in 8 ways, for example, as 156383866116 + 847629566224 = 395454^2 + 920668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004013432341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41113974 + ... + 41138386.

It is an arithmetic number, because the mean of its divisors is an integer number (43988717955).

Almost surely, 21004013432340 is an apocalyptic number.

1004013432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004013432340 is an abundant number, since it is smaller than the sum of its proper divisors (1107445029500).

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

1004013432340 is a wasteful number, since it uses less digits than its factorization.

1004013432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27292 (or 27290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1004013432340 its reverse (432343104001), we get a palindrome (1436356536341).

The spelling of 1004013432340 in words is "one trillion, four billion, thirteen million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1381 1489 2762 2978 5524 5956 6905 7445 13810 14890 24413 27620 29780 48826 97652 122065 244130 488260 2056309 4112618 8225236 10281545 20563090 33714353 36350957 41126180 67428706 72701914 134857412 145403828 168571765 181754785 337143530 363509570 674287060 727019140 50200671617 100401343234 200802686468 251003358085 502006716170 1004013432340