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4440020320100 = 22521991303171233
BaseRepresentation
bin100000010011100010111…
…0101010111111101100100
3120201110110122112222100202
41000213011311113331210
51040221130200220400
613235414524330032
7635531562006161
oct100470565277544
916643418488322
104440020320100
1114620027a0882
125b86099a3918
132628cc782351
14114c8067d068
157a7660514d5
hex409c5d57f64

4440020320100 has 72 divisors (see below), whose sum is σ = 9690748502400. Its totient is φ = 1765716986880.

The previous prime is 4440020320039. The next prime is 4440020320111. The reversal of 4440020320100 is 10230200444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25844084 + ... + 26015316.

It is an arithmetic number, because the mean of its divisors is an integer number (134593729200).

Almost surely, 24440020320100 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 4440020320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845374251200).

4440020320100 is an abundant number, since it is smaller than the sum of its proper divisors (5250728182300).

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

4440020320100 is a wasteful number, since it uses less digits than its factorization.

4440020320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172749 (or 172742 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4440020320100 its reverse (10230200444), we get a palindrome (4450250520544).

The spelling of 4440020320100 in words is "four trillion, four hundred forty billion, twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1303 1990 2606 3980 4975 5212 6515 9950 13030 19900 26060 32575 65150 130300 171233 259297 342466 518594 684932 856165 1037188 1296485 1712330 2592970 3424660 4280825 5185940 6482425 8561650 12964850 17123300 25929700 34075367 68150734 136301468 170376835 223116599 340753670 446233198 681507340 851884175 892466396 1115582995 1703768350 2231165990 3407536700 4462331980 5577914975 11155829950 22311659900 44400203201 88800406402 177600812804 222001016005 444002032010 888004064020 1110005080025 2220010160050 4440020320100