Search a number
-
+
444012131220 = 223571762186573
BaseRepresentation
bin1100111011000010010…
…11110111001110010100
31120110001222011021211220
412131201023313032110
524233314101144340
6535550520530340
744036014562250
oct6354113671624
91513058137756
10444012131220
111613392aaa69
12720769209b0
1332b4099bc38
14176c1561260
15b83a74eed0
hex67612f7394

444012131220 has 96 divisors (see below), whose sum is σ = 1504417598208. Its totient is φ = 95518574592.

The previous prime is 444012131201. The next prime is 444012131249. The reversal of 444012131220 is 22131210444.

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, 31086147 + ... + 31100426.

It is an arithmetic number, because the mean of its divisors is an integer number (15671016648).

Almost surely, 2444012131220 is an apocalyptic number.

It is an amenable number.

444012131220 is an abundant number, since it is smaller than the sum of its proper divisors (1060405466988).

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

444012131220 is a wasteful number, since it uses less digits than its factorization.

444012131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62186609 (or 62186607 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444012131220 its reverse (22131210444), we get a palindrome (466143341664).

The spelling of 444012131220 in words is "four hundred forty-four billion, twelve million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 62186573 124373146 186559719 248746292 310932865 373119438 435306011 621865730 746238876 870612022 932798595 1057171741 1243731460 1305918033 1741224044 1865597190 2114343482 2176530055 2611836066 3171515223 3731194380 4228686964 4353060110 5223672132 5285858705 6343030446 6529590165 7400202187 8706120220 10571717410 12686060892 13059180330 14800404374 15857576115 21143434820 22200606561 26118360660 29600808748 31715152230 37001010935 44401213122 63430304460 74002021870 88802426244 111003032805 148004043740 222006065610 444012131220