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4003432420440 = 233593113583067
BaseRepresentation
bin111010010000011111001…
…010101101010001011000
3112011201120002101201121010
4322100133022231101120
51011043012144423230
612303052414413520
7562144534046565
oct72203712552130
915151502351533
104003432420440
111303934260982
12547a855012a0
132306a2c6314b
14dbaa514986c
156e2124b89b0
hex3a41f2ad458

4003432420440 has 64 divisors (see below), whose sum is σ = 12011590517760. Its totient is φ = 1067467022720.

The previous prime is 4003432420423. The next prime is 4003432420489. The reversal of 4003432420440 is 440242343004.

It is a super-2 number, since 2×40034324204402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4003432420398 and 4003432420407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674214 + ... + 2908853.

It is an arithmetic number, because the mean of its divisors is an integer number (187681101840).

Almost surely, 24003432420440 is an apocalyptic number.

4003432420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003432420440 is an abundant number, since it is smaller than the sum of its proper divisors (8008158097320).

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

4003432420440 is a wasteful number, since it uses less digits than its factorization.

4003432420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592392 (or 3592388 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4003432420440 its reverse (440242343004), we get a palindrome (4443674763444).

The spelling of 4003432420440 in words is "four trillion, three billion, four hundred thirty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9311 18622 27933 37244 46555 55866 74488 93110 111732 139665 186220 223464 279330 372440 558660 1117320 3583067 7166134 10749201 14332268 17915335 21498402 28664536 35830670 42996804 53746005 71661340 85993608 107492010 143322680 214984020 429968040 33361936837 66723873674 100085810511 133447747348 166809684185 200171621022 266895494696 333619368370 400343242044 500429052555 667238736740 800686484088 1000858105110 1334477473480 2001716210220 4003432420440