Search a number
-
+
4440020214032 = 2413411529934031
BaseRepresentation
bin100000010011100010111…
…0100111110000100010000
3120201110110122100120212022
41000213011310332010100
51040221130133322112
613235414522151012
7635531561055014
oct100470564760420
916643418316768
104440020214032
111462002729117
125b8609952468
132628cc745ca0
14114c80652544
157a76602ed72
hex409c5d3e110

4440020214032 has 80 divisors (see below), whose sum is σ = 9491130028800. Its totient is φ = 1999069209600.

The previous prime is 4440020214023. The next prime is 4440020214043. The reversal of 4440020214032 is 2304120200444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4440020213992 and 4440020214010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130452857 + ... + 130486887.

It is an arithmetic number, because the mean of its divisors is an integer number (118639125360).

Almost surely, 24440020214032 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 4440020214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745565014400).

4440020214032 is an abundant number, since it is smaller than the sum of its proper divisors (5051109814768).

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

4440020214032 is a wasteful number, since it uses less digits than its factorization.

4440020214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49392 (or 49386 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4440020214032 its reverse (2304120200444), we get a palindrome (6744140414476).

The spelling of 4440020214032 in words is "four trillion, four hundred forty billion, twenty million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 15299 30598 34031 61196 68062 122392 136124 198887 244784 272248 397774 442403 544496 627259 795548 884806 1254518 1395271 1591096 1769612 2509036 2790542 3182192 3539224 5018072 5581084 7078448 8154367 10036144 11162168 16308734 18138523 22324336 32617468 36277046 65234936 72554092 130469872 145108184 290216368 520640269 1041280538 2082561076 4165122152 6768323497 8330244304 13536646994 21346251029 27073293988 42692502058 54146587976 85385004116 108293175952 170770008232 277501263377 341540016464 555002526754 1110005053508 2220010107016 4440020214032