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440300212432 = 241743103365489
BaseRepresentation
bin1100110100000111111…
…00000001000011010000
31120002111021112021112021
412122003330001003100
524203213323244212
6534134321341224
743545023024503
oct6320374010320
91502437467467
10440300212432
1115a803a9a493
12713bb797814
133269b9642a2
141744c59b13a
15b6be932307
hex6683f010d0

440300212432 has 80 divisors (see below), whose sum is σ = 933245089920. Its totient is φ = 200416075776.

The previous prime is 440300212399. The next prime is 440300212433. The reversal of 440300212432 is 234212003044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 440300212397 and 440300212406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440300212433) 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, 1021944 + ... + 1387432.

It is an arithmetic number, because the mean of its divisors is an integer number (11665563624).

Almost surely, 2440300212432 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 440300212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466622544960).

440300212432 is an abundant number, since it is smaller than the sum of its proper divisors (492944877488).

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

440300212432 is a wasteful number, since it uses less digits than its factorization.

440300212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365660 (or 365654 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 440300212432 its reverse (234212003044), we get a palindrome (674512215476).

The spelling of 440300212432 in words is "four hundred forty billion, three hundred million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 43 68 86 103 136 172 206 272 344 412 688 731 824 1462 1648 1751 2924 3502 4429 5848 7004 8858 11696 14008 17716 28016 35432 70864 75293 150586 301172 365489 602344 730978 1204688 1461956 2923912 5847824 6213313 12426626 15716027 24853252 31432054 37645367 49706504 62864108 75290734 99413008 125728216 150581468 251456432 267172459 301162936 534344918 602325872 639971239 1068689836 1279942478 1618750781 2137379672 2559884956 3237501562 4274759344 5119769912 6475003124 10239539824 12950006248 25900012496 27518763277 55037526554 110075053108 220150106216 440300212432