Search a number
-
+
240023040113130 = 2351092631327210319
BaseRepresentation
bin110110100100110010111000…
…000010110011100111101010
31011110211222102100121002100020
4312210302320002303213222
5222430014141232110010
62210253021251221310
7101362043455166661
oct6644627002634752
91143758370532306
10240023040113130
116a52a22183542a
1222b060a65a7836
13a3c10ca01b981
14433b26a06ddd8
151cb383b891470
hexda4cb80b39ea

240023040113130 has 128 divisors (see below), whose sum is σ = 583993154764800. Its totient is φ = 63129885421824.

The previous prime is 240023040113033. The next prime is 240023040113179. The reversal of 240023040113130 is 31311040320042.

It is a happy number.

240023040113130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400230401131302 (a number of 30 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 240023040113130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141128111 + ... + 1141338429.

It is an arithmetic number, because the mean of its divisors is an integer number (4562446521600).

Almost surely, 2240023040113130 is an apocalyptic number.

240023040113130 is an abundant number, since it is smaller than the sum of its proper divisors (343970114651670).

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

240023040113130 is a wasteful number, since it uses less digits than its factorization.

240023040113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212028.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 240023040113130 its reverse (31311040320042), we get a palindrome (271334080433172).

The spelling of 240023040113130 in words is "two hundred forty trillion, twenty-three billion, forty million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 109 218 263 327 526 545 654 789 1090 1315 1327 1578 1635 2630 2654 3270 3945 3981 6635 7890 7962 13270 19905 28667 39810 57334 86001 143335 144643 172002 210319 286670 289286 349001 420638 430005 433929 630957 698002 723215 860010 867858 1047003 1051595 1261914 1446430 1745005 2094006 2103190 2169645 3154785 3490010 4339290 5235015 6309570 10470030 22924771 38041109 45849542 55313897 68774313 76082218 110627794 114123327 114623855 137548626 165941691 190205545 228246654 229247710 276569485 279093313 331883382 343871565 380411090 553138970 558186626 570616635 687743130 829708455 837279939 1141233270 1395466565 1659416910 1674559878 2790933130 4186399695 6029214773 8372799390 12058429546 18087644319 30146073865 30421171117 36175288638 60292147730 60842342234 73401541319 90438221595 91263513351 146803082638 152105855585 180876443190 182527026702 220204623957 304211711170 367007706595 440409247914 456317566755 734015413190 912635133510 1101023119785 2202046239570 8000768003771 16001536007542 24002304011313 40003840018855 48004608022626 80007680037710 120011520056565 240023040113130