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412111111412 = 2271113584917597
BaseRepresentation
bin1011111111100111011…
…11001000010011110100
31110101201201202120112202
411333303233020103310
523223000421031122
6513153215204032
741526332435510
oct5776357102364
91411651676482
10412111111412
11149858a84690
1267a53216618
132cb28807060
1415d36865140
15aabecb5e92
hex5ff3bc84f4

412111111412 has 96 divisors (see below), whose sum is σ = 968537606400. Its totient is φ = 148178027520.

The previous prime is 412111111409. The next prime is 412111111417. The reversal of 412111111412 is 214111111214.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412111111417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23410598 + ... + 23428194.

It is an arithmetic number, because the mean of its divisors is an integer number (10088933400).

Almost surely, 2412111111412 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 412111111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484268803200).

412111111412 is an abundant number, since it is smaller than the sum of its proper divisors (556426494988).

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

412111111412 is a wasteful number, since it uses less digits than its factorization.

412111111412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23481 (or 23479 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 412111111412 its reverse (214111111214), we get a palindrome (626222222626).

The spelling of 412111111412 in words is "four hundred twelve billion, one hundred eleven million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5849 11698 17597 23396 35194 40943 64339 70388 76037 81886 123179 128678 152074 163772 193567 228761 246358 257356 304148 387134 450373 457522 492716 532259 774268 836407 900746 915044 1064518 1354969 1601327 1672814 1801492 2129036 2516371 2709938 3202654 3345628 5032742 5419876 5854849 6405308 10065484 11709698 17614597 23419396 35229194 70458388 102924853 205849706 411699412 720473971 1132173383 1338023089 1440947942 2264346766 2676046178 2881895884 4528693532 5352092356 7925213681 9366161623 14718253979 15850427362 18732323246 29436507958 31700854724 37464646492 58873015916 103027777853 206055555706 412111111412