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4434241202240 = 265711011932367
BaseRepresentation
bin100000010000110110101…
…0111110010100001000000
3120200220112220010101000112
41000201231113302201000
51040122311221432430
613233021242010452
7635235426220103
oct100415527624100
916626486111015
104434241202240
11145a607616013
125b74764a6a28
132621bb3a2695
14114892d2a73a
157a5289ea195
hex4086d5f2840

4434241202240 has 112 divisors (see below), whose sum is σ = 10813778671104. Its totient is φ = 1731399936000.

The previous prime is 4434241202231. The next prime is 4434241202249. The reversal of 4434241202240 is 422021424344.

It is an interprime number because it is at equal distance from previous prime (4434241202231) and next prime (4434241202249).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4434241202197 and 4434241202206.

It is not an unprimeable number, because it can be changed into a prime (4434241202249) 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, 1328537 + ... + 3260903.

Almost surely, 24434241202240 is an apocalyptic number.

4434241202240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434241202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406889335552).

4434241202240 is an abundant number, since it is smaller than the sum of its proper divisors (6379537468864).

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

4434241202240 is a wasteful number, since it uses less digits than its factorization.

4434241202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932556 (or 1932546 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4434241202240 its reverse (422021424344), we get a palindrome (4856262626584).

The spelling of 4434241202240 in words is "four trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 101 142 160 202 284 320 355 404 505 568 710 808 1010 1136 1420 1616 2020 2272 2840 3232 4040 4544 5680 6464 7171 8080 11360 14342 16160 22720 28684 32320 35855 57368 71710 114736 143420 229472 286840 458944 573680 1147360 1932367 2294720 3864734 7729468 9661835 15458936 19323670 30917872 38647340 61835744 77294680 123671488 137198057 154589360 195169067 274396114 309178720 390338134 548792228 618357440 685990285 780676268 975845335 1097584456 1371980570 1561352536 1951690670 2195168912 2743961140 3122705072 3903381340 4390337824 5487922280 6245410144 7806762680 8780675648 10975844560 12490820288 13857003757 15613525360 21951689120 27714007514 31227050720 43903378240 55428015028 62454101440 69285018785 110856030056 138570037570 221712060112 277140075140 443424120224 554280150280 886848240448 1108560300560 2217120601120 4434241202240