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4130926128 = 24357151783
BaseRepresentation
bin1111011000111000…
…1110111000110000
3101122220001210100000
43312032032320300
531430004114003
61521524030000
7204240202260
oct36616167060
911586053300
104130926128
11182a888a3a
12973532300
1350aaa28b4
142b28b57a0
151929d81a3
hexf638ee30

4130926128 has 120 divisors (see below), whose sum is σ = 13701845248. Its totient is φ = 1180256832.

The previous prime is 4130926081. The next prime is 4130926147. The reversal of 4130926128 is 8216290314.

4130926128 is a `hidden beast` number, since 4 + 1 + 30 + 9 + 2 + 612 + 8 = 666.

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 = 4130926092 and 4130926101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48676 + ... + 103107.

Almost surely, 24130926128 is an apocalyptic number.

4130926128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4130926128 is an abundant number, since it is smaller than the sum of its proper divisors (9570919120).

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

4130926128 is a wasteful number, since it uses less digits than its factorization.

4130926128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151813 (or 151795 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4130926128 is about 64272.2811793700. The cubic root of 4130926128 is about 1604.5348079719.

The spelling of 4130926128 in words is "four billion, one hundred thirty million, nine hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 151783 303566 455349 607132 910698 1062481 1214264 1366047 1821396 2124962 2428528 2732094 3187443 3642792 4098141 4249924 5464188 6374886 7285584 8196282 8499848 9562329 10928376 12294423 12749772 16392564 16999696 19124658 21856752 24588846 25499544 28686987 32785128 36883269 38249316 49177692 50999088 57373974 65570256 73766538 76498632 86060961 98355384 114747948 147533076 152997264 172121922 196710768 229495896 258182883 295066152 344243844 458991792 516365766 590132304 688487688 1032731532 1376975376 2065463064 4130926128