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4043431442340 = 2232547677133537
BaseRepresentation
bin111010110101101111010…
…010110111011110100100
3112022112210200121120101200
4322311233102313132210
51012221421422123330
612333305440322500
7565062000115023
oct72655722673644
915275720546350
104043431442340
11131989a701074
12553789013430
132343a8a62444
14dd9bb5408ba
15702a3d5aa60
hex3ad6f4b77a4

4043431442340 has 144 divisors (see below), whose sum is σ = 12712991945472. Its totient is φ = 1039555934208.

The previous prime is 4043431442327. The next prime is 4043431442353. The reversal of 4043431442340 is 432441343404.

4043431442340 is a `hidden beast` number, since 40 + 4 + 343 + 1 + 44 + 234 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4043431442327) and next prime (4043431442353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4043431442295 and 4043431442304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2999949 + ... + 4133588.

It is an arithmetic number, because the mean of its divisors is an integer number (88284666288).

Almost surely, 24043431442340 is an apocalyptic number.

It is an amenable number.

4043431442340 is an abundant number, since it is smaller than the sum of its proper divisors (8669560503132).

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

4043431442340 is a wasteful number, since it uses less digits than its factorization.

4043431442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133666 (or 7133661 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4043431442340 its reverse (432441343404), we get a palindrome (4475872785744).

The spelling of 4043431442340 in words is "four trillion, forty-three billion, four hundred thirty-one million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 67 90 94 134 141 180 188 201 235 268 282 335 402 423 470 564 603 670 705 804 846 940 1005 1206 1340 1410 1692 2010 2115 2412 2820 3015 3149 4020 4230 6030 6298 8460 9447 12060 12596 15745 18894 28341 31490 37788 47235 56682 62980 94470 113364 141705 188940 283410 566820 7133537 14267074 21400611 28534148 35667685 42801222 64201833 71335370 85602444 107003055 128403666 142670740 214006110 256807332 321009165 335276239 428012220 477946979 642018330 670552478 955893958 1005828717 1284036660 1341104956 1433840937 1676381195 1911787916 2011657434 2389734895 2867681874 3017486151 3352762390 4023314868 4301522811 4779469790 5029143585 5735363748 6034972302 6705524780 7169204685 8603045622 9558939580 10058287170 12069944604 14338409370 15087430755 17206091244 20116574340 21507614055 22463508013 28676818740 30174861510 43015228110 44927016026 60349723020 67390524039 86030456220 89854032052 112317540065 134781048078 202171572117 224635080130 269562096156 336952620195 404343144234 449270160260 673905240390 808686288468 1010857860585 1347810480780 2021715721170 4043431442340