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130411141416 = 233273118720903
BaseRepresentation
bin111100101110100011…
…1000001100100101000
3110110121120120101121200
41321131013001210220
54114040223011131
6135524323204200
712264465261243
oct1713507014450
9413546511550
10130411141416
1150341764826
1221336516660
13c3b411738a
146451d3025a
1535d3ec82e6
hex1e5d1c1928

130411141416 has 96 divisors (see below), whose sum is σ = 358353927360. Its totient is φ = 42836726016.

The previous prime is 130411141397. The next prime is 130411141433. The reversal of 130411141416 is 614141114031.

130411141416 is a `hidden beast` number, since 130 + 4 + 1 + 114 + 1 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130411141416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6228421 + ... + 6249323.

It is an arithmetic number, because the mean of its divisors is an integer number (3732853410).

Almost surely, 2130411141416 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 130411141416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179176963680).

130411141416 is an abundant number, since it is smaller than the sum of its proper divisors (227942785944).

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

130411141416 is a wasteful number, since it uses less digits than its factorization.

130411141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 130411141416 its reverse (614141114031), we get a palindrome (744552255447).

The spelling of 130411141416 in words is "one hundred thirty billion, four hundred eleven million, one hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1187 1314 1752 2374 2628 3561 4748 5256 7122 9496 10683 14244 20903 21366 28488 41806 42732 62709 83612 85464 86651 125418 167224 173302 188127 250836 259953 346604 376254 501672 519906 693208 752508 779859 1039812 1505016 1525919 1559718 2079624 3051838 3119436 4577757 6103676 6238872 9155514 12207352 13733271 18311028 24811861 27466542 36622056 49623722 54933084 74435583 99247444 109866168 148871166 198494888 223306749 297742332 446613498 595484664 893226996 1786453992 1811265853 3622531706 5433797559 7245063412 10867595118 14490126824 16301392677 21735190236 32602785354 43470380472 65205570708 130411141416