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4494388981104 = 2433112879328513
BaseRepresentation
bin100000101100110111001…
…1101010110110101110000
3120220122210200210010021000
41001121232131112311300
51042114002034343404
613320405505402000
7642465102004011
oct101315635266560
916818720703230
104494388981104
111483072458570
12607061939300
13267a85631789
1411775b28b008
157bd991de339
hex4166e756d70

4494388981104 has 160 divisors (see below), whose sum is σ = 14078270361600. Its totient is φ = 1361458851840.

The previous prime is 4494388981091. The next prime is 4494388981111. The reversal of 4494388981104 is 4011898834944.

4494388981104 is a `hidden beast` number, since 4 + 4 + 9 + 438 + 8 + 98 + 1 + 104 = 666.

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, 13516752 + ... + 13845264.

It is an arithmetic number, because the mean of its divisors is an integer number (87989189760).

Almost surely, 24494388981104 is an apocalyptic number.

4494388981104 is a gapful number since it is divisible by the number (44) 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 4494388981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039135180800).

4494388981104 is an abundant number, since it is smaller than the sum of its proper divisors (9583881380496).

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

4494388981104 is a wasteful number, since it uses less digits than its factorization.

4494388981104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331420 (or 331408 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 4494388981104 in words is "four trillion, four hundred ninety-four billion, three hundred eighty-eight million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2879 4752 5758 8637 11516 17274 23032 25911 31669 34548 46064 51822 63338 69096 77733 95007 103644 126676 138192 155466 190014 207288 253352 285021 310932 328513 380028 414576 506704 570042 621864 657026 760056 855063 985539 1140084 1243728 1314052 1520112 1710126 1971078 2280168 2628104 2956617 3420252 3613643 3942156 4560336 5256208 5913234 6840504 7227286 7884312 8869851 10840929 11826468 13681008 14454572 15768624 17739702 21681858 23652936 28909144 32522787 35479404 43363716 47305872 57818288 65045574 70958808 86727432 97568361 130091148 141917616 173454864 195136722 260182296 390273444 520364592 780546888 945788927 1561093776 1891577854 2837366781 3783155708 5674733562 7566311416 8512100343 10403678197 11349467124 15132622832 17024200686 20807356394 22698934248 25536301029 31211034591 34048401372 41614712788 45397868496 51072602058 62422069182 68096802744 83229425576 93633103773 102145204116 124844138364 136193605488 166458851152 187266207546 204290408232 249688276728 280899311319 374532415092 408580816464 499376553456 561798622638 749064830184 1123597245276 1498129660368 2247194490552 4494388981104