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1410120114 = 2313217179457
BaseRepresentation
bin101010000001100…
…1011100110110010
310122021101112010220
41110003023212302
510341442320424
6351531433510
746641552234
oct12403134662
93567345126
101410120114
11663a81127
123342b5896
131961b2c00
14d53c8254
1583be3579
hex540cb9b2

1410120114 has 96 divisors (see below), whose sum is σ = 3258688320. Its totient is φ = 405190656.

The previous prime is 1410120079. The next prime is 1410120121. The reversal of 1410120114 is 4110210141.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1410120093 and 1410120102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3085374 + ... + 3085830.

It is an arithmetic number, because the mean of its divisors is an integer number (33944670).

Almost surely, 21410120114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410120114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629344160).

1410120114 is an abundant number, since it is smaller than the sum of its proper divisors (1848568206).

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

1410120114 is a wasteful number, since it uses less digits than its factorization.

1410120114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1410120114 is about 37551.5660658780. The cubic root of 1410120114 is about 1121.3780110095.

Adding to 1410120114 its reverse (4110210141), we get a palindrome (5520330255).

The spelling of 1410120114 in words is "one billion, four hundred ten million, one hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 179 221 338 358 442 457 507 537 663 914 1014 1074 1326 1371 2327 2742 2873 3043 4654 5746 5941 6086 6981 7769 8619 9129 11882 13962 15538 17238 17823 18258 23307 30251 35646 39559 46614 60502 77233 79118 81803 90753 100997 118677 154466 163606 181506 201994 231699 237354 245409 302991 463398 490818 514267 605982 1028534 1063439 1312961 1390651 1542801 2126878 2625922 2781302 3085602 3190317 3938883 4171953 6380634 7877766 8343906 13824707 18078463 27649414 36156926 41474121 54235389 82948242 108470778 235020019 470040038 705060057 1410120114