Search a number
-
+
10043054421435 = 32573947687083
BaseRepresentation
bin1001001000100101010010…
…1100001111010110111011
31022120002212201201110211200
42102021110230033112323
52304021133412441220
633205414314425243
72054405152032000
oct222112454172673
938502781643750
1010043054421435
1132222654430a2
1211624b2732223
1357b095c68039
1426a12d22b8a7
15126399b6d890
hex92254b0f5bb

10043054421435 has 96 divisors (see below), whose sum is σ = 20322295718400. Its totient is φ = 4586255860032.

The previous prime is 10043054421377. The next prime is 10043054421443. The reversal of 10043054421435 is 53412445034001.

10043054421435 is a `hidden beast` number, since 1 + 0 + 0 + 430 + 5 + 4 + 4 + 214 + 3 + 5 = 666.

10043054421435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10043054421435 - 26 = 10043054421371 is a prime.

It is a super-2 number, since 2×100430544214352 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10043054421435.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14273404 + ... + 14960486.

It is an arithmetic number, because the mean of its divisors is an integer number (211690580400).

Almost surely, 210043054421435 is an apocalyptic number.

10043054421435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10043054421435 is an abundant number, since it is smaller than the sum of its proper divisors (10279241296965).

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

10043054421435 is an equidigital number, since it uses as much as digits as its factorization.

10043054421435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688062 (or 688045 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10043054421435 its reverse (53412445034001), we get a palindrome (63455499455436).

The spelling of 10043054421435 in words is "ten trillion, forty-three billion, fifty-four million, four hundred twenty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 947 1029 1715 2205 2841 3087 4735 5145 6629 8523 14205 15435 19887 33145 42615 46403 59661 99435 139209 232015 298305 324821 417627 687083 696045 974463 1624105 2061249 2088135 2923389 3435415 4809581 4872315 6183747 10306245 14428743 14616945 24047905 30918735 33667067 43286229 72143715 101001201 168335335 216431145 235669469 303003603 505006005 650667601 707008407 1178347345 1515018015 1952002803 2121025221 3253338005 3535042035 4554673207 5856008409 9760014015 10605126105 13664019621 22773366035 29280042045 31882712449 40992058863 68320098105 95648137347 159413562245 204960294315 223178987143 286944412041 478240686735 669536961429 1115894935715 1434722060205 2008610884287 3347684807145 10043054421435