Search a number
-
+
445613202944 = 2971315316247
BaseRepresentation
bin1100111110000001001…
…11011101111000000000
31120121012112212011100122
412133000213131320000
524300103434443234
6540413433235412
744123465504660
oct6370047357000
91517175764318
10445613202944
11161a90043938
1272442b62b68
13330375bb760
14177d40541a0
15b8d10b192e
hex67c09dde00

445613202944 has 160 divisors (see below), whose sum is σ = 1096714139136. Its totient is φ = 176143196160.

The previous prime is 445613202889. The next prime is 445613202989. The reversal of 445613202944 is 449202316544.

It is a super-2 number, since 2×4456132029442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445613202895 and 445613202904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71329229 + ... + 71335475.

Almost surely, 2445613202944 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 445613202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548357069568).

445613202944 is an abundant number, since it is smaller than the sum of its proper divisors (651100936192).

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

445613202944 is a wasteful number, since it uses less digits than its factorization.

445613202944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 445613202944 in words is "four hundred forty-five billion, six hundred thirteen million, two hundred two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1531 1664 1792 2912 3062 3328 3584 5824 6124 6247 6656 10717 11648 12248 12494 19903 21434 23296 24496 24988 39806 42868 43729 46592 48992 49976 79612 81211 85736 87458 97984 99952 139321 159224 162422 171472 174916 195968 199904 278642 318448 324844 342944 349832 391936 399808 557284 568477 636896 649688 685888 699664 783872 799616 1114568 1136954 1273792 1299376 1371776 1399328 1599232 2229136 2273908 2547584 2598752 2743552 2798656 3198464 4458272 4547816 5095168 5197504 5487104 5597312 8916544 9095632 9564157 10190336 10395008 11194624 17833088 18191264 19128314 20790016 22389248 35666176 36382528 38256628 41580032 66949099 71332352 72765056 76513256 124334041 133898198 145530112 153026512 248668082 267796396 291060224 306053024 497336164 535592792 612106048 870338287 994672328 1071185584 1224212096 1740676574 1989344656 2142371168 2448424192 3481353148 3978689312 4284742336 4896848384 6962706296 7957378624 8569484672 13925412592 15914757248 17138969344 27850825184 31829514496 34277938688 55701650368 63659028992 111403300736 222806601472 445613202944