Search a number
-
+
43034424120 = 23335103938351
BaseRepresentation
bin101000000101000011…
…010011001100111000
311010002010212020212000
4220011003103030320
51201113303032440
631434133021000
73052301366232
oct500503231470
9133063766760
1043034424120
11172838a0876
128410184760
13409a92a6ac
1421235b5252
1511bd0ca730
hexa050d3338

43034424120 has 128 divisors (see below), whose sum is σ = 143589888000. Its totient is φ = 11464502400.

The previous prime is 43034424113. The next prime is 43034424131. The reversal of 43034424120 is 2142443034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1102945 + ... + 1141295.

It is an arithmetic number, because the mean of its divisors is an integer number (1121796000).

Almost surely, 243034424120 is an apocalyptic number.

43034424120 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 43034424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71794944000).

43034424120 is an abundant number, since it is smaller than the sum of its proper divisors (100555463880).

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

43034424120 is a wasteful number, since it uses less digits than its factorization.

43034424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39410 (or 39400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 43034424120 its reverse (2142443034), we get a palindrome (45176867154).

The spelling of 43034424120 in words is "forty-three billion, thirty-four million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1039 1080 2078 3117 4156 5195 6234 8312 9351 10390 12468 15585 18702 20780 24936 28053 31170 37404 38351 41560 46755 56106 62340 74808 76702 93510 112212 115053 124680 140265 153404 187020 191755 224424 230106 280530 306808 345159 374040 383510 460212 561060 575265 690318 767020 920424 1035477 1122120 1150530 1380636 1534040 1725795 2070954 2301060 2761272 3451590 4141908 4602120 5177385 6903180 8283816 10354770 13806360 20709540 39846689 41419080 79693378 119540067 159386756 199233445 239080134 318773512 358620201 398466890 478160268 597700335 717240402 796933780 956320536 1075860603 1195400670 1434480804 1593867560 1793101005 2151721206 2390801340 2868961608 3586202010 4303442412 4781602680 5379303015 7172404020 8606884824 10758606030 14344808040 21517212060 43034424120