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400201114244100 = 2235213531936144723
BaseRepresentation
bin101101011111110110001010…
…1010000001101010000000100
31221110222212000202012021012020
41122333230111100031100010
5404423343340221302400
63535053504231123140
7150203401454536401
oct13277542520152004
91843885022167166
10400201114244100
11106575380850994
1238a757a75134b0
131423ca59667160
1470b7ba16d52a8
1531402392ee2a0
hex16bfb1540d404

400201114244100 has 144 divisors (see below), whose sum is σ = 1270513657046592. Its totient is φ = 96652344522240.

The previous prime is 400201114244053. The next prime is 400201114244167. The reversal of 400201114244100 is 1442411102004.

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, 967865662 + ... + 968279061.

It is an arithmetic number, because the mean of its divisors is an integer number (8823011507268).

Almost surely, 2400201114244100 is an apocalyptic number.

It is an amenable number.

400201114244100 is an abundant number, since it is smaller than the sum of its proper divisors (870312542802492).

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

400201114244100 is a wasteful number, since it uses less digits than its factorization.

400201114244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936144806 (or 1936144799 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 400201114244100 its reverse (1442411102004), we get a palindrome (401643525346104).

The spelling of 400201114244100 in words is "four hundred trillion, two hundred one billion, one hundred fourteen million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 53 60 65 75 78 100 106 130 150 156 159 195 212 260 265 300 318 325 390 530 636 650 689 780 795 975 1060 1300 1325 1378 1590 1950 2067 2650 2756 3180 3445 3900 3975 4134 5300 6890 7950 8268 10335 13780 15900 17225 20670 34450 41340 51675 68900 103350 206700 1936144723 3872289446 5808434169 7744578892 9680723615 11616868338 19361447230 23233736676 25169881399 29042170845 38722894460 48403618075 50339762798 58084341690 75509644197 96807236150 100679525596 102615670319 116168683380 125849406995 145210854225 151019288394 193614472300 205231340638 251698813990 290421708450 302038576788 307847010957 377548220985 410462681276 503397627980 513078351595 580843416900 615694021914 629247034975 755096441970 1026156703190 1231388043828 1258494069950 1334003714147 1510192883940 1539235054785 1887741104925 2052313406380 2516988139900 2565391757975 2668007428294 3078470109570 3775482209850 4002011142441 5130783515950 5336014856588 6156940219140 6670018570735 7550964419700 7696175273925 8004022284882 10261567031900 13340037141470 15392350547850 16008044569764 20010055712205 26680074282940 30784701095700 33350092853675 40020111424410 66700185707350 80040222848820 100050278561025 133400371414700 200100557122050 400201114244100