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444110244444312 = 2331737101291277897
BaseRepresentation
bin110010011111010100111100…
…1010111000111100010011000
32011020110112011112020212022120
41210332221321113013202120
5431202300240034204222
64212313232454221240
7162354622603225335
oct14476517127074230
92136415145225276
10444110244444312
11119564108071036
124198765a354820
13160a6554956834
147b9509c8b798c
1536524d75d615c
hex193ea795c7898

444110244444312 has 128 divisors (see below), whose sum is σ = 1219312583259840. Its totient is φ = 134220854476800.

The previous prime is 444110244444287. The next prime is 444110244444319. The reversal of 444110244444312 is 213444442011444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444110244444319) 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, 144114253 + ... + 147163644.

Almost surely, 2444110244444312 is an apocalyptic number.

It is an amenable number.

444110244444312 is an abundant number, since it is smaller than the sum of its proper divisors (775202338815528).

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

444110244444312 is a wasteful number, since it uses less digits than its factorization.

444110244444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291278061 (or 291278057 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

Adding to 444110244444312 its reverse (213444442011444), we get a palindrome (657554686455756).

The spelling of 444110244444312 in words is "four hundred forty-four trillion, one hundred ten billion, two hundred forty-four million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 101 102 111 136 148 202 204 222 296 303 404 408 444 606 629 808 888 1212 1258 1717 1887 2424 2516 3434 3737 3774 5032 5151 6868 7474 7548 10302 11211 13736 14948 15096 20604 22422 29896 41208 44844 63529 89688 127058 190587 254116 381174 508232 762348 1524696 291277897 582555794 873833691 1165111588 1747667382 2330223176 3495334764 4951724249 6990669528 9903448498 10777282189 14855172747 19806896996 21554564378 29419067597 29710345494 32331846567 39613793992 43109128756 58838135194 59420690988 64663693134 86218257512 88257202791 117676270388 118841381976 129327386268 176514405582 183213797213 235352540776 258654772536 353028811164 366427594426 500124149149 549641391639 706057622328 732855188852 1000248298298 1088505501089 1099282783278 1465710377704 1500372447447 2000496596596 2177011002178 2198565566556 3000744894894 3265516503267 4000993193192 4354022004356 4397131133112 6001489789788 6531033006534 8708044008712 12002979579576 13062066013068 18504593518513 26124132026136 37009187037026 55513780555539 74018374074052 111027561111078 148036748148104 222055122222156 444110244444312