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23303422410432 = 263416414618241
BaseRepresentation
bin1010100110001110000000…
…01101101111111011000000
310001111210012120112021100220
411103013000031233323000
511023300402114113212
6121321240000543040
74623421350144333
oct523070015577300
9101453176467326
1023303422410432
117474a2048268a
122744439021a80
1310006709b3968
145a7c6aa1861a
152a629746b38c
hex1531c036fec0

23303422410432 has 112 divisors (see below), whose sum is σ = 63259348862304. Its totient is φ = 7566524416000.

The previous prime is 23303422410431. The next prime is 23303422410439. The reversal of 23303422410432 is 23401422430332.

It is a junction number, because it is equal to n+sod(n) for n = 23303422410393 and 23303422410402.

It is not an unprimeable number, because it can be changed into a prime (23303422410431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736832 + ... + 7355072.

It is an arithmetic number, because the mean of its divisors is an integer number (564815614842).

Almost surely, 223303422410432 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 23303422410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31629674431152).

23303422410432 is an abundant number, since it is smaller than the sum of its proper divisors (39955926451872).

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

23303422410432 is a wasteful number, since it uses less digits than its factorization.

23303422410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618938 (or 4618928 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 23303422410432 its reverse (23401422430332), we get a palindrome (46704844840764).

The spelling of 23303422410432 in words is "twenty-three trillion, three hundred three billion, four hundred twenty-two million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 641 656 984 1282 1312 1923 1968 2564 2624 3846 3936 5128 7692 7872 10256 15384 20512 26281 30768 41024 52562 61536 78843 105124 123072 157686 210248 315372 420496 630744 840992 1261488 1681984 2522976 4618241 5045952 9236482 13854723 18472964 27709446 36945928 55418892 73891856 110837784 147783712 189347881 221675568 295567424 378695762 443351136 568043643 757391524 886702272 1136087286 1514783048 2272174572 2960292481 3029566096 4544349144 5920584962 6059132192 8880877443 9088698288 11841169924 12118264384 17761754886 18177396576 23682339848 35523509772 36354793152 47364679696 71047019544 94729359392 121371991721 142094039088 189458718784 242743983442 284188078176 364115975163 485487966884 568376156352 728231950326 970975933768 1456463900652 1941951867536 2912927801304 3883903735072 5825855602608 7767807470144 11651711205216 23303422410432