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43134254240 = 2557112318287
BaseRepresentation
bin101000001011000000…
…000111110010100000
311010100002201011000212
4220023000013302200
51201314332113430
631452100433252
73054623053160
oct501300076240
9133302634025
1043134254240
1117325186700
1284396a8828
1340b5511a7c
1421329605a0
1511c6c49b95
hexa0b007ca0

43134254240 has 144 divisors (see below), whose sum is σ = 128012887296. Its totient is φ = 13444400640.

The previous prime is 43134254239. The next prime is 43134254269. The reversal of 43134254240 is 4245243134.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 43134254197 and 43134254206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23624 + ... + 294663.

It is an arithmetic number, because the mean of its divisors is an integer number (888978384).

Almost surely, 243134254240 is an apocalyptic number.

43134254240 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 43134254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64006443648).

43134254240 is an abundant number, since it is smaller than the sum of its proper divisors (84878633056).

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

43134254240 is a wasteful number, since it uses less digits than its factorization.

43134254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318331 (or 318312 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 43134254240 its reverse (4245243134), we get a palindrome (47379497374).

The spelling of 43134254240 in words is "forty-three billion, one hundred thirty-four million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1120 1210 1232 1540 1694 1760 1936 2420 2464 3080 3388 3872 4235 4840 6160 6776 8470 9680 12320 13552 16940 19360 27104 33880 67760 135520 318287 636574 1273148 1591435 2228009 2546296 3182870 3501157 4456018 5092592 6365740 7002314 8912036 10185184 11140045 12731480 14004628 17505785 17824072 22280090 24508099 25462960 28009256 35011570 35648144 38512727 44560180 49016198 50925920 56018512 70023140 71296288 77025454 89120360 98032396 112037024 122540495 140046280 154050908 178240720 192563635 196064792 245080990 269589089 280092560 308101816 356481440 385127270 392129584 490161980 539178178 560185120 616203632 770254540 784259168 980323960 1078356356 1232407264 1347945445 1540509080 1960647920 2156712712 2695890890 3081018160 3921295840 4313425424 5391781780 6162036320 8626850848 10783563560 21567127120 43134254240