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44909485714116 = 22310137892
BaseRepresentation
bin10100011011000010011011…
…11100010110101011000100
312220000022020021110000000000
422031201031330112223010
521341244111320322431
6235303044413321300
712313413631055442
oct1215411574265304
9186008207400000
1044909485714116
1113345007996991
125053913a96230
131c09c3c12208a
14b138b892db92
1552d2ead759e6
hex28d84df16ac4

44909485714116 has 99 divisors (see below), whose sum is σ = 117895284473421. Its totient is φ = 14968742935824.

The previous prime is 44909485714087. The next prime is 44909485714183. The reversal of 44909485714116 is 61141758490944.

The square root of 44909485714116 is 6701454.

It is a perfect power (a square), and thus also a powerful number.

44909485714116 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 9 + 4 + 8 + 571 + 41 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43616170896516 + 1293314817600 = 6604254^2 + 1137240^2 .

It is a super-2 number, since 2×449094857141162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 3256899750 + ... + 3256913538.

Almost surely, 244909485714116 is an apocalyptic number.

44909485714116 is the 6701454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44909485714116

44909485714116 is an abundant number, since it is smaller than the sum of its proper divisors (72985798759305).

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

44909485714116 is an frugal number, since it uses more digits than its factorization.

44909485714116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27612 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 44909485714116 in words is "forty-four trillion, nine hundred nine billion, four hundred eighty-five million, seven hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 13789 19683 26244 27578 39366 41367 55156 59049 78732 82734 118098 124101 165468 236196 248202 372303 496404 744606 1116909 1489212 2233818 3350727 4467636 6701454 10052181 13402908 20104362 30156543 40208724 60313086 90469629 120626172 180939258 190136521 271408887 361878516 380273042 542817774 570409563 760546084 814226661 1085635548 1140819126 1628453322 1711228689 2281638252 3256906644 3422457378 5133686067 6844914756 10267372134 15401058201 20534744268 30802116402 46203174603 61604232804 92406349206 138609523809 184812698412 277219047618 415828571427 554438095236 831657142854 1247485714281 1663314285708 2494971428562 3742457142843 4989942857124 7484914285686 11227371428529 14969828571372 22454742857058 44909485714116