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444202311320 = 235292717091993
BaseRepresentation
bin1100111011011001000…
…01010101111010011000
31120110120020000102220022
412131230201111322120
524234211242430240
6540021433050012
744043514230215
oct6355441257230
91513506012808
10444202311320
111614266960a9
127210a556908
1332b711c8641
14176dc908b0c
15b84c2b99b5
hex676c855e98

444202311320 has 128 divisors (see below), whose sum is σ = 1039719456000. Its totient is φ = 170594242560.

The previous prime is 444202311317. The next prime is 444202311331. The reversal of 444202311320 is 23113202444.

It is a self number, because there is not a number n which added to its sum of digits gives 444202311320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222880244 + ... + 222882236.

It is an arithmetic number, because the mean of its divisors is an integer number (8122808250).

Almost surely, 2444202311320 is an apocalyptic number.

444202311320 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 444202311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519859728000).

444202311320 is an abundant number, since it is smaller than the sum of its proper divisors (595517144680).

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

444202311320 is a wasteful number, since it uses less digits than its factorization.

444202311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 444202311320 its reverse (23113202444), we get a palindrome (467315513764).

The spelling of 444202311320 in words is "four hundred forty-four billion, two hundred two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 271 290 542 580 709 1084 1160 1355 1418 1993 2168 2710 2836 3545 3986 5420 5672 7090 7859 7972 9965 10840 14180 15718 15944 19930 20561 28360 31436 39295 39860 41122 57797 62872 78590 79720 82244 102805 115594 157180 164488 192139 205610 231188 288985 314360 384278 411220 462376 540103 577970 768556 822440 960695 1080206 1155940 1413037 1537112 1921390 2160412 2311880 2700515 2826074 3842780 4320824 5401030 5572031 5652148 7065185 7685560 10802060 11144062 11304296 14130370 15662987 21604120 22288124 27860155 28260740 31325974 40978073 44576248 55720310 56521480 62651948 78314935 81956146 111440620 125303896 156629870 163912292 204890365 222881240 313259740 327824584 382933027 409780730 626519480 765866054 819561460 1531732108 1639122920 1914665135 3063464216 3829330270 7658660540 11105057783 15317321080 22210115566 44420231132 55525288915 88840462264 111050577830 222101155660 444202311320