Search a number
-
+
4231023120 = 243355473581
BaseRepresentation
bin1111110000110000…
…0100101000010000
3101220212102020121000
43330030010220100
532131120214440
61535501302000
7206564050242
oct37414045020
911825366530
104231023120
111881336325
129a0b64900
1352574b59c
142c1cd0092
1519b6ab730
hexfc304a10

4231023120 has 160 divisors (see below), whose sum is σ = 14604243840. Its totient is φ = 1125895680.

The previous prime is 4231023109. The next prime is 4231023131. The reversal of 4231023120 is 213201324.

4231023120 is a `hidden beast` number, since 42 + 310 + 2 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4231023109) and next prime (4231023131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4231023093 and 4231023102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179730 + ... + 1183310.

It is an arithmetic number, because the mean of its divisors is an integer number (91276524).

Almost surely, 24231023120 is an apocalyptic number.

4231023120 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 4231023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302121920).

4231023120 is an abundant number, since it is smaller than the sum of its proper divisors (10373220720).

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

4231023120 is a wasteful number, since it uses less digits than its factorization.

4231023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4231023120 is about 65046.3151915618. The cubic root of 4231023120 is about 1617.3914122291.

Adding to 4231023120 its reverse (213201324), we get a palindrome (4444224444).

The spelling of 4231023120 in words is "four billion, two hundred thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 547 720 1080 1094 1641 2160 2188 2735 3282 3581 4376 4923 5470 6564 7162 8205 8752 9846 10743 10940 13128 14324 14769 16410 17905 19692 21486 21880 24615 26256 28648 29538 32229 32820 35810 39384 42972 43760 49230 53715 57296 59076 64458 65640 71620 73845 78768 85944 96687 98460 107430 118152 128916 131280 143240 147690 161145 171888 193374 196920 214860 236304 257832 286480 295380 322290 386748 393840 429720 483435 515664 590760 644580 773496 859440 966870 1181520 1289160 1546992 1933740 1958807 2578320 3867480 3917614 5876421 7734960 7835228 9794035 11752842 15670456 17629263 19588070 23505684 29382105 31340912 35258526 39176140 47011368 52887789 58764210 70517052 78352280 88146315 94022736 105775578 117528420 141034104 156704560 176292630 211551156 235056840 264438945 282068208 352585260 423102312 470113680 528877890 705170520 846204624 1057755780 1410341040 2115511560 4231023120