Search a number
-
+
400004343420024 = 23376373639758403
BaseRepresentation
bin101101011110011010100010…
…0110011000101010001111000
31221110022001010110011201022010
41122330311010303011101320
5404412132343403420044
63534423243013325520
7150153234344246430
oct13274650463052170
91843261113151263
10400004343420024
111064a9986850422
1238a436313368a0
131422732b360685
1470ac4564352c0
15313a06e5dcbb9
hex16bcd44cc5478

400004343420024 has 128 divisors (see below), whose sum is σ = 1143247142499840. Its totient is φ = 114249203108352.

The previous prime is 400004343419987. The next prime is 400004343420083. The reversal of 400004343420024 is 420024343400004.

It is a junction number, because it is equal to n+sod(n) for n = 400004343419973 and 400004343420000.

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, 6849008407 + ... + 6849066809.

It is an arithmetic number, because the mean of its divisors is an integer number (8931618300780).

Almost surely, 2400004343420024 is an apocalyptic number.

It is an amenable number.

400004343420024 is an abundant number, since it is smaller than the sum of its proper divisors (743242799079816).

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

400004343420024 is a wasteful number, since it uses less digits than its factorization.

400004343420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71189 (or 71185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 400004343420024 its reverse (420024343400004), we get a palindrome (820028686820028).

The spelling of 400004343420024 in words is "four hundred trillion, four billion, three hundred forty-three million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6373 6397 12746 12794 19119 19191 25492 25588 38238 38382 44611 44779 50984 51176 58403 76476 76764 89222 89558 116806 133833 134337 152952 153528 175209 178444 179116 233612 267666 268674 350418 356888 358232 408821 467224 535332 537348 700836 817642 1070664 1074696 1226463 1401672 1635284 2452926 3270568 4905852 9811704 40768081 81536162 122304243 163072324 244608486 285376567 326144648 372202319 373603991 489216972 570753134 744404638 747207982 856129701 978433944 1116606957 1120811973 1141506268 1488809276 1494415964 1712259402 2233213914 2241623946 2283012536 2605416233 2615227937 2977618552 2988831928 3424518804 4466427828 4483247892 5210832466 5230455874 6849037608 7816248699 7845683811 8932855656 8966495784 10421664932 10460911748 15632497398 15691367622 20843329864 20921823496 31264994796 31382735244 62529989592 62765470488 2380978234643 4761956469286 7142934703929 9523912938572 14285869407858 16666847642501 19047825877144 28571738815716 33333695285002 50000542927503 57143477631432 66667390570004 100001085855006 133334781140008 200002171710012 400004343420024