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4400204431220 = 22513231237959441
BaseRepresentation
bin100000000001000000010…
…0111110011111101110100
3120120122200210221020211122
41000002000213303331310
51034043104313244340
613205232003523112
7632622111355403
oct100020047637564
916518623836748
104400204431220
111447130763194
125b0957689498
1325bc258b2ca0
14112d8471963a
15796d57d5db5
hex400809f3f74

4400204431220 has 96 divisors (see below), whose sum is σ = 10384907339520. Its totient is φ = 1553900451840.

The previous prime is 4400204431211. The next prime is 4400204431223. The reversal of 4400204431220 is 221344020044.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4400204431220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400204431223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73996700 + ... + 74056140.

It is an arithmetic number, because the mean of its divisors is an integer number (108176118120).

Almost surely, 24400204431220 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 4400204431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192453669760).

4400204431220 is an abundant number, since it is smaller than the sum of its proper divisors (5984702908300).

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

4400204431220 is a wasteful number, since it uses less digits than its factorization.

4400204431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71865 (or 71863 counting only the distinct ones).

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

Adding to 4400204431220 its reverse (221344020044), we get a palindrome (4621548451264).

The spelling of 4400204431220 in words is "four trillion, four hundred billion, two hundred four million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 12379 24758 49516 59441 61895 118882 123790 160927 237764 247580 284717 297205 321854 569434 594410 643708 772733 804635 1138868 1188820 1367143 1423585 1545466 1609270 2734286 2847170 3090932 3218540 3701321 3863665 5468572 5694340 6835715 7402642 7727330 13671430 14805284 15454660 17772859 18506605 27342860 35545718 37013210 71091436 74026420 88864295 177728590 355457180 735820139 1471640278 2943280556 3679100695 7358201390 9565661807 14716402780 16923863197 19131323614 33847726394 38262647228 47828309035 67695452788 84619315985 95656618070 169238631970 191313236140 220010221561 338477263940 440020443122 880040886244 1100051107805 2200102215610 4400204431220