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14032244202444 = 22321361895522827
BaseRepresentation
bin1100110000110010001011…
…1011100101101111001100
31211200110200020002011010200
43030030202323211233030
53314401014003434234
645502153552133500
72645540043505506
oct314144273455714
954613606064120
1014032244202444
11452005003a186
1216a7662237290
137aa309255c90
1436724297cd76
15195026a75d99
hexcc322ee5bcc

14032244202444 has 144 divisors (see below), whose sum is σ = 39261342425760. Its totient is φ = 4199115064320.

The previous prime is 14032244202439. The next prime is 14032244202511. The reversal of 14032244202444 is 44420244223041.

14032244202444 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 2 + 2 + 4 + 4 + 202 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14032244202399 and 14032244202408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220642 + ... + 5302185.

It is an arithmetic number, because the mean of its divisors is an integer number (272648211290).

Almost surely, 214032244202444 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 14032244202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630671212880).

14032244202444 is an abundant number, since it is smaller than the sum of its proper divisors (25229098223316).

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

14032244202444 is a wasteful number, since it uses less digits than its factorization.

14032244202444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523000 (or 5522995 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 14032244202444 its reverse (44420244223041), we get a palindrome (58452488425485).

The spelling of 14032244202444 in words is "fourteen trillion, thirty-two billion, two hundred forty-four million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 89 117 122 156 178 183 234 244 267 356 366 468 534 549 732 793 801 1068 1098 1157 1586 1602 2196 2314 2379 3172 3204 3471 4628 4758 5429 6942 7137 9516 10413 10858 13884 14274 16287 20826 21716 28548 32574 41652 48861 65148 70577 97722 141154 195444 211731 282308 423462 635193 846924 1270386 2540772 5522827 11045654 16568481 22091308 33136962 49705443 66273924 71796751 99410886 143593502 198821772 215390253 287187004 336892447 430780506 491531603 646170759 673784894 861561012 983063206 1010677341 1292341518 1347569788 1474594809 1966126412 2021354682 2584683036 2949189618 3032032023 4042709364 4379601811 4423784427 5898379236 6064064046 6389910839 8759203622 8847568854 12128128092 12779821678 13138805433 17518407244 17695137708 19169732517 25559643356 26277610866 29983427783 38339465034 39416416299 52555221732 57509197551 59966855566 76678930068 78832832598 89950283349 115018395102 119933711132 157665665196 179900566698 230036790204 269850850047 359801133396 389784561179 539701700094 779569122358 1079403400188 1169353683537 1559138244716 2338707367074 3508061050611 4677414734148 7016122101222 14032244202444