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8143100928 = 210322393697
BaseRepresentation
bin1111001010101110…
…11101110000000000
3210000111200101110200
413211113131300000
5113134113212203
63424010525200
7405536134014
oct74527356000
923014611420
108143100928
1134a9628286
1216b3136800
139ca097a21
145736b8544
15329d659a3
hex1e55ddc00

8143100928 has 132 divisors (see below), whose sum is σ = 23617794720. Its totient is φ = 2702278656.

The previous prime is 8143100909. The next prime is 8143100939. The reversal of 8143100928 is 8290013418.

It is a super-2 number, since 2×81431009282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8143100892 and 8143100901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200776 + ... + 2204472.

Almost surely, 28143100928 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 8143100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808897360).

8143100928 is an abundant number, since it is smaller than the sum of its proper divisors (15474693792).

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

8143100928 is a wasteful number, since it uses less digits than its factorization.

8143100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8143100928 is about 90239.1319107182. The cubic root of 8143100928 is about 2011.8546718794.

The spelling of 8143100928 in words is "eight billion, one hundred forty-three million, one hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2151 2304 2868 3072 3697 3824 4302 4608 5736 7394 7648 8604 9216 11091 11472 14788 15296 17208 22182 22944 29576 30592 33273 34416 44364 45888 59152 61184 66546 68832 88728 91776 118304 122368 133092 137664 177456 183552 236608 244736 266184 275328 354912 367104 473216 532368 550656 709824 734208 883583 946432 1064736 1101312 1419648 1767166 1892864 2129472 2202624 2650749 2839296 3534332 3785728 4258944 5301498 5678592 7068664 7952247 8517888 10602996 11357184 14137328 15904494 17035776 21205992 28274656 31808988 34071552 42411984 56549312 63617976 84823968 113098624 127235952 169647936 226197248 254471904 339295872 452394496 508943808 678591744 904788992 1017887616 1357183488 2035775232 2714366976 4071550464 8143100928