Search a number
-
+
10240645434341 = 7235913125793191
BaseRepresentation
bin1001010100000101011000…
…0010001000101111100101
31100020222220012001221021212
42111001112002020233211
52320240320212344331
633440253151521205
72104601511652010
oct225012602105745
940228805057255
1010240645434341
113299040413673
121194857529205
135938c5172a5a
142759153d0377
1512b5b1893d2b
hex95056088be5

10240645434341 has 64 divisors (see below), whose sum is σ = 12523017830400. Its totient is φ = 8185003569600.

The previous prime is 10240645434329. The next prime is 10240645434359. The reversal of 10240645434341 is 14343454604201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10240645434341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240645434311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3209226056 + ... + 3209229246.

It is an arithmetic number, because the mean of its divisors is an integer number (195672153600).

Almost surely, 210240645434341 is an apocalyptic number.

It is an amenable number.

10240645434341 is a deficient number, since it is larger than the sum of its proper divisors (2282372396059).

10240645434341 is a wasteful number, since it uses less digits than its factorization.

10240645434341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990.

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 10240645434341 in words is "ten trillion, two hundred forty billion, six hundred forty-five million, four hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 7 23 59 131 161 413 917 1357 2579 3013 3191 7729 9499 18053 21091 22337 54103 59317 73393 152161 177767 188269 337849 415219 418021 513751 1065127 1244369 1317883 2364943 2926147 3499703 4330187 7770527 8229589 9614483 19933091 24497921 24663239 30311309 54393689 57607123 67301381 139531637 172642673 189280547 458461093 485545751 567254497 1078076159 1324963829 3209227651 3398820257 3970781479 7546533113 11167552273 24795751657 63606493381 78172865911 173570261599 445245453667 1462949347763 10240645434341