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1034007443440 = 24537349326839
BaseRepresentation
bin11110000101111111010…
…01010111011111110000
310122211221202102112210021
433002333221113133300
5113420121401142230
62111003320013224
7134463445152316
oct17027751273760
93584852375707
101034007443440
1136957a277554
12148493001214
137667798a33a
1438090bc20b6
151bd6c0d5c7a
hexf0bfa577f0

1034007443440 has 40 divisors (see below), whose sum is σ = 2469042105120. Its totient is φ = 402424517376.

The previous prime is 1034007443431. The next prime is 1034007443459. The reversal of 1034007443440 is 443447004301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1034007443396 and 1034007443405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174660460 + ... + 174666379.

It is an arithmetic number, because the mean of its divisors is an integer number (61726052628).

Almost surely, 21034007443440 is an apocalyptic number.

1034007443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034007443440 is an abundant number, since it is smaller than the sum of its proper divisors (1435034661680).

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

1034007443440 is a wasteful number, since it uses less digits than its factorization.

1034007443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349326889 (or 349326883 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 1034007443440 in words is "one trillion, thirty-four billion, seven million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 349326839 698653678 1397307356 1746634195 2794614712 3493268390 5589229424 6986536780 12925093043 13973073560 25850186086 27946147120 51700372172 64625465215 103400744344 129250930430 206801488688 258501860860 517003721720 1034007443440