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2444965042044 = 2237214934078191
BaseRepresentation
bin100011100101000011010…
…001011101011101111100
322122201212211002000201110
4203211003101131131330
5310024242022321134
65111111302042020
7341433340646100
oct43450321353574
98581784060643
102444965042044
118629a4031858
12335a25a19310
13149736793c65
14864a07c1900
15438ec20b7e9
hex2394345d77c

2444965042044 has 144 divisors (see below), whose sum is σ = 6683649638400. Its totient is φ = 693584760960.

The previous prime is 2444965042033. The next prime is 2444965042099. The reversal of 2444965042044 is 4402405694442.

It is a junction number, because it is equal to n+sod(n) for n = 2444965041984 and 2444965042002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298489989 + ... + 298498179.

It is an arithmetic number, because the mean of its divisors is an integer number (46414233600).

Almost surely, 22444965042044 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 2444965042044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341824819200).

2444965042044 is an abundant number, since it is smaller than the sum of its proper divisors (4238684596356).

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

2444965042044 is a wasteful number, since it uses less digits than its factorization.

2444965042044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 2444965042044 in words is "two trillion, four hundred forty-four billion, nine hundred sixty-five million, forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 149 196 294 298 447 588 596 894 1043 1788 2086 3129 3407 4172 6258 6814 7301 8191 10221 12516 13628 14602 16382 20442 21903 23849 24573 29204 32764 40884 43806 47698 49146 57337 71547 87612 95396 98292 114674 143094 166943 172011 229348 286188 333886 344022 401359 500829 507643 667772 688044 802718 1001658 1015286 1204077 1220459 1522929 1605436 2003316 2030572 2408154 2440918 3045858 3553501 3661377 4816308 4881836 6091716 7107002 7322754 8543213 10660503 14214004 14645508 17086426 21321006 24874507 25629639 27906737 34172852 42642012 49749014 51259278 55813474 59802491 74623521 83720211 99498028 102518556 111626948 119604982 149247042 167440422 179407473 195347159 239209964 298494084 334880844 358814946 390694318 586041477 717629892 781388636 1172082954 1367430113 2344165908 2734860226 4102290339 4158103813 5469720452 8204580678 8316207626 12474311439 16409161356 16632415252 24948622878 29106726691 49897245756 58213453382 87320180073 116426906764 174640360146 203747086837 349280720292 407494173674 611241260511 814988347348 1222482521022 2444965042044