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400525005341320 = 23537615637880063
BaseRepresentation
bin101101100010001100111111…
…0101010101100001010001000
31221112010211001021102210002221
41123010121332222230022020
5404444200202331410240
63535502351453303424
7150235656003460516
oct13304317652541210
91845124037383087
10400525005341320
1110668a778939132
1238b08519a94b74
1314264466052282
1470c97298054b6
15314889413ba4a
hex16c467eaac288

400525005341320 has 128 divisors (see below), whose sum is σ = 942381266595840. Its totient is φ = 153052237808640.

The previous prime is 400525005341317. The next prime is 400525005341333. The reversal of 400525005341320 is 23143500525004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46887609 + ... + 54767671.

It is an arithmetic number, because the mean of its divisors is an integer number (7362353645280).

Almost surely, 2400525005341320 is an apocalyptic number.

400525005341320 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 400525005341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471190633297920).

400525005341320 is an abundant number, since it is smaller than the sum of its proper divisors (541856261254520).

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

400525005341320 is a wasteful number, since it uses less digits than its factorization.

400525005341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880735 (or 7880731 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 400525005341320 its reverse (23143500525004), we get a palindrome (423668505866324).

The spelling of 400525005341320 in words is "four hundred trillion, five hundred twenty-five billion, five million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 296 305 370 488 563 610 740 1126 1220 1480 2252 2257 2440 2815 4504 4514 5630 9028 11260 11285 18056 20831 22520 22570 34343 41662 45140 68686 83324 90280 104155 137372 166648 171715 208310 274744 343430 416620 686860 833240 1270691 1373720 2541382 5082764 6353455 7880063 10165528 12706910 15760126 25413820 31520252 39400315 50827640 63040504 78800630 157601260 291562331 315202520 480683843 583124662 961367686 1166249324 1457811655 1922735372 2332498648 2403419215 2915623310 3845470744 4436475469 4806838430 5831246620 8872950938 9613676860 11662493240 17745901876 17785302191 19227353720 22182377345 35491803752 35570604382 44364754690 71141208764 88729509380 88926510955 142282417528 164149592353 177459018760 177853021910 270625003609 328299184706 355706043820 541250007218 656598369412 711412087640 820747961765 1082500014436 1313196738824 1353125018045 1641495923530 2165000028872 2706250036090 3282991847060 5412500072180 6565983694120 10013125133533 10825000144360 20026250267066 40052500534132 50065625667665 80105001068264 100131251335330 200262502670660 400525005341320