Search a number
-
+
43651420013256 = 23311613919293507
BaseRepresentation
bin10011110110011011000110…
…11000100100001011001000
312201120000221111212122212020
421323031203120210023020
521210141102010411011
6232501104023244440
712123465611046666
oct1173154330441310
9181500844778766
1043651420013256
11129aa510675370
124a8bb302a9720
131b48407a5c7c3
14aaca507c7c36
1550a71866d006
hex27b3636242c8

43651420013256 has 128 divisors (see below), whose sum is σ = 119373695308800. Its totient is φ = 13191709351680.

The previous prime is 43651420013237. The next prime is 43651420013263. The reversal of 43651420013256 is 65231002415634.

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, 148576855 + ... + 148870361.

It is an arithmetic number, because the mean of its divisors is an integer number (932606994600).

Almost surely, 243651420013256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43651420013256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59686847654400).

43651420013256 is an abundant number, since it is smaller than the sum of its proper divisors (75722275295544).

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

43651420013256 is a wasteful number, since it uses less digits than its factorization.

43651420013256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295059 (or 295055 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 43651420013256 in words is "forty-three trillion, six hundred fifty-one billion, four hundred twenty million, thirteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 613 919 1226 1838 1839 2452 2757 3676 3678 4904 5514 6743 7352 7356 10109 11028 13486 14712 20218 20229 22056 26972 30327 40436 40458 53944 60654 80872 80916 121308 161832 242616 293507 563347 587014 880521 1126694 1174028 1690041 1761042 2253388 2348056 3228577 3380082 3522084 4506776 6196817 6457154 6760164 7044168 9685731 12393634 12914308 13520328 18590451 19371462 24787268 25828616 37180902 38742924 49574536 74361804 77485848 148723608 179919791 269732933 359839582 539465866 539759373 719679164 809198799 1078931732 1079518746 1439358328 1618397598 1979117701 2157863464 2159037492 2967062263 3236795196 3958235402 4318074984 5934124526 5937353103 6473590392 7916470804 8901186789 11868249052 11874706206 15832941608 17802373578 23736498104 23749412412 35604747156 47498824824 71209494312 165346287929 330692575858 496038863787 661385151716 992077727574 1322770303432 1818809167219 1984155455148 3637618334438 3968310910296 5456427501657 7275236668876 10912855003314 14550473337752 21825710006628 43651420013256