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4030133120 = 27513691701
BaseRepresentation
bin1111000000110110…
…1111001110000000
3101101212101222022122
43300031233032000
531223203224440
61503523423412
7201604365146
oct36015571600
911355358278
104030133120
1117889a5732
12945824b68
134c2c42170
142a3359596
15188c287b5
hexf036f380

4030133120 has 128 divisors (see below), whose sum is σ = 10405493280. Its totient is φ = 1483776000.

The previous prime is 4030133087. The next prime is 4030133131. The reversal of 4030133120 is 213310304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5748770 + ... + 5749470.

Almost surely, 24030133120 is an apocalyptic number.

4030133120 is a gapful number since it is divisible by the number (40) 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 4030133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202746640).

4030133120 is an abundant number, since it is smaller than the sum of its proper divisors (6375360160).

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

4030133120 is a wasteful number, since it uses less digits than its factorization.

4030133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4030133120 is about 63483.3294653014. The cubic root of 4030133120 is about 1591.3771963494.

Adding to 4030133120 its reverse (213310304), we get a palindrome (4243443424).

The spelling of 4030133120 in words is "four billion, thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 691 701 832 1040 1382 1402 1664 2080 2764 2804 3455 3505 4160 5528 5608 6910 7010 8320 8983 9113 11056 11216 13820 14020 17966 18226 22112 22432 27640 28040 35932 36452 44224 44864 44915 45565 55280 56080 71864 72904 88448 89728 89830 91130 110560 112160 143728 145808 179660 182260 221120 224320 287456 291616 359320 364520 442240 448640 484391 574912 583232 718640 729040 968782 1149824 1166464 1437280 1458080 1937564 2421955 2874560 2916160 3875128 4843910 5749120 5832320 6297083 7750256 9687820 12594166 15500512 19375640 25188332 31001024 31485415 38751280 50376664 62002048 62970830 77502560 100753328 125941660 155005120 201506656 251883320 310010240 403013312 503766640 806026624 1007533280 2015066560 4030133120