Search a number
-
+
1330460145636 = 2231721394396287
BaseRepresentation
bin10011010111000101100…
…110101011011111100100
311201012011001111011202020
4103113011212223133210
5133244240244130021
62455112134143140
7165060020433606
oct23270546533744
94635131434666
101330460145636
11473277081476
12195a284b1ab0
13986008cc15b
1448574b73176
152491d1437c6
hex135c59ab7e4

1330460145636 has 144 divisors (see below), whose sum is σ = 3329581516800. Its totient is φ = 413386670592.

The previous prime is 1330460145613. The next prime is 1330460145643. The reversal of 1330460145636 is 6365410640331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211617685 + ... + 211623971.

Almost surely, 21330460145636 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 1330460145636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664790758400).

1330460145636 is an abundant number, since it is smaller than the sum of its proper divisors (1999121371164).

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

1330460145636 is a wasteful number, since it uses less digits than its factorization.

1330460145636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 1330460145636 its reverse (6365410640331), we get a palindrome (7695870785967).

The spelling of 1330460145636 in words is "one trillion, three hundred thirty billion, four hundred sixty million, one hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 289 417 439 556 578 834 867 878 1156 1317 1668 1734 1756 2363 2634 3468 4726 5268 6287 7089 7463 9452 12574 14178 14926 18861 22389 25148 28356 29852 37722 40171 44778 61021 75444 80342 89556 106879 120513 122042 126871 160684 183063 213758 241026 244084 253742 320637 366126 380613 427516 482052 507484 641274 732252 761226 873893 1037357 1282548 1522452 1747786 1816943 2074714 2621679 2759993 3112071 3495572 3633886 4149428 5243358 5450829 5519986 6224142 7267772 8279979 10486716 10901658 11039972 12448284 14856181 16559958 17635069 21803316 29712362 33119916 35270138 44568543 46919881 52905207 59424724 70540276 89137086 93839762 105810414 140759643 178274172 187679524 211620828 252555077 281519286 383639027 505110154 563038572 757665231 767278054 797637977 1010220308 1150917081 1515330462 1534556108 1595275954 2301834162 2392913931 3030660924 3190551908 4603668324 4785827862 6521863459 9571655724 13043726918 19565590377 26087453836 39131180754 78262361508 110871678803 221743357606 332615036409 443486715212 665230072818 1330460145636