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10043411000224 = 257236532985329
BaseRepresentation
bin1001001000100110100111…
…1100011110101110100000
31022120010210120200112222111
42102021221330132232200
52304022401204001344
633205513533245104
72054420041636210
oct222115174365640
938503716615874
1010043411000224
113222428751008
121162592033794
1357b121ab57c4
1426a16472c240
151263bb106834
hex92269f1eba0

10043411000224 has 96 divisors (see below), whose sum is σ = 23616300798720. Its totient is φ = 4110868303872.

The previous prime is 10043411000209. The next prime is 10043411000261. The reversal of 10043411000224 is 42200011434001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10043411000195 and 10043411000204.

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, 1871592 + ... + 4856920.

It is an arithmetic number, because the mean of its divisors is an integer number (246003133320).

Almost surely, 210043411000224 is an apocalyptic number.

10043411000224 is a gapful number since it is divisible by the number (14) 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 10043411000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808150399360).

10043411000224 is an abundant number, since it is smaller than the sum of its proper divisors (13572889798496).

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

10043411000224 is a wasteful number, since it uses less digits than its factorization.

10043411000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986022 (or 2986014 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10043411000224 its reverse (42200011434001), we get a palindrome (52243422434225).

The spelling of 10043411000224 in words is "ten trillion, forty-three billion, four hundred eleven million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 653 736 1288 1306 2576 2612 4571 5152 5224 9142 10448 15019 18284 20896 30038 36568 60076 73136 105133 120152 146272 210266 240304 420532 480608 841064 1682128 2985329 3364256 5970658 11941316 20897303 23882632 41794606 47765264 68662567 83589212 95530528 137325134 167178424 274650268 334356848 480637969 549300536 668713696 961275938 1098601072 1922551876 1949419837 2197202144 3845103752 3898839674 7690207504 7797679348 13645938859 15380415008 15595358696 27291877718 31190717392 44836656251 54583755436 62381434784 89673312502 109167510872 179346625004 218335021744 313856593757 358693250008 436670043488 627713187514 717386500016 1255426375028 1434773000032 2510852750056 5021705500112 10043411000224