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43124141440 = 275294215519
BaseRepresentation
bin101000001010011001…
…100010110110000000
311010022101200100212201
4220022121202312000
51201304240011230
631451100002544
73054441103612
oct501231426600
9133271610781
1043124141440
111731a4a9816
128436230454
1340b33b0a73
14213148adb2
1511c5ded5ca
hexa0a662d80

43124141440 has 128 divisors (see below), whose sum is σ = 106921296000. Its totient is φ = 16612270080.

The previous prime is 43124141429. The next prime is 43124141441. The reversal of 43124141440 is 4414142134.

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

It is a junction number, because it is equal to n+sod(n) for n = 43124141399 and 43124141408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43124141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7811001 + ... + 7816519.

It is an arithmetic number, because the mean of its divisors is an integer number (835322625).

Almost surely, 243124141440 is an apocalyptic number.

43124141440 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 43124141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53460648000).

43124141440 is an abundant number, since it is smaller than the sum of its proper divisors (63797154560).

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

43124141440 is a wasteful number, since it uses less digits than its factorization.

43124141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 43124141440 its reverse (4414142134), we get a palindrome (47538283574).

The spelling of 43124141440 in words is "forty-three billion, one hundred twenty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 421 464 580 640 842 928 1160 1684 1856 2105 2320 3368 3712 4210 4640 5519 6736 8420 9280 11038 12209 13472 16840 18560 22076 24418 26944 27595 33680 44152 48836 53888 55190 61045 67360 88304 97672 110380 122090 134720 160051 176608 195344 220760 244180 269440 320102 353216 390688 441520 488360 640204 706432 781376 800255 883040 976720 1280408 1562752 1600510 1766080 1953440 2323499 2560816 3201020 3532160 3906880 4646998 5121632 6402040 7813760 9293996 10243264 11617495 12804080 18587992 20486528 23234990 25608160 37175984 46469980 51216320 67381471 74351968 92939960 102432640 134762942 148703936 185879920 269525884 297407872 336907355 371759840 539051768 673814710 743519680 1078103536 1347629420 1487039360 2156207072 2695258840 4312414144 5390517680 8624828288 10781035360 21562070720 43124141440