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4410044016 = 243771401461
BaseRepresentation
bin1000001101101101…
…11110111001110000
3102101100021110002120
410012312332321300
533012432402031
62005334314240
7214166520120
oct40666767160
912340243076
104410044016
11196339a384
12a30ab8980
1355386b901
142db9b0c80
151ac26ea96
hex106dbee70

4410044016 has 160 divisors (see below), whose sum is σ = 13265150976. Its totient is φ = 1236480000.

The previous prime is 4410044011. The next prime is 4410044027. The reversal of 4410044016 is 6104400144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4410044011) 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, 9566026 + ... + 9566486.

Almost surely, 24410044016 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 4410044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632575488).

4410044016 is an abundant number, since it is smaller than the sum of its proper divisors (8855106960).

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

4410044016 is a wasteful number, since it uses less digits than its factorization.

4410044016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4410044016 is about 66408.1622694078. The cubic root of 4410044016 is about 1639.8884536466. Note that the first 3 decimals are identical.

The spelling of 4410044016 in words is "four billion, four hundred ten million, forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 401 426 461 497 568 802 852 922 994 1136 1203 1383 1491 1604 1704 1844 1988 2406 2766 2807 2982 3208 3227 3408 3688 3976 4812 5532 5614 5964 6416 6454 7376 7952 8421 9624 9681 11064 11228 11928 12908 16842 19248 19362 22128 22456 23856 25816 28471 32731 33684 38724 44912 51632 56942 65462 67368 77448 85413 98193 113884 130924 134736 154896 170826 184861 196386 199297 227768 229117 261848 341652 369722 392772 398594 455536 458234 523696 554583 597891 683304 687351 739444 785544 797188 916468 1109166 1195782 1294027 1366608 1374702 1478888 1571088 1594376 1832936 2218332 2391564 2588054 2749404 2957776 3188752 3665872 3882081 4436664 4783128 5176108 5498808 7764162 8873328 9566256 10352216 10997616 13125131 15528324 20704432 26250262 31056648 39375393 52500524 62113296 78750786 91875917 105001048 157501572 183751834 210002096 275627751 315003144 367503668 551255502 630006288 735007336 1102511004 1470014672 2205022008 4410044016