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412332120431 = 71119233728951
BaseRepresentation
bin1100000000000001110…
…10001101100101101111
31110102022010121222220222
412000000322031211233
523223424010323211
6513231152201555
741534655123620
oct6000072154557
91412263558828
10412332120431
11149961806a70
1267ab52392bb
132cb62538b1a
1415d57d55a47
15aad43c01db
hex6000e8d96f

412332120431 has 96 divisors (see below), whose sum is σ = 580398981120. Its totient is φ = 283252464000.

The previous prime is 412332120419. The next prime is 412332120439. The reversal of 412332120431 is 134021233214.

It is not a de Polignac number, because 412332120431 - 26 = 412332120367 is a prime.

It is a super-2 number, since 2×4123321204312 (a number of 24 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 412332120431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412332120439) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 46061006 + ... + 46069956.

It is an arithmetic number, because the mean of its divisors is an integer number (6045822720).

Almost surely, 2412332120431 is an apocalyptic number.

412332120431 is a deficient number, since it is larger than the sum of its proper divisors (168066860689).

412332120431 is a wasteful number, since it uses less digits than its factorization.

412332120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 412332120431 its reverse (134021233214), we get a palindrome (546353353645).

The spelling of 412332120431 in words is "four hundred twelve billion, three hundred thirty-two million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 11 19 23 37 77 133 161 209 253 259 407 437 703 851 1369 1463 1771 2849 3059 4807 4921 5957 7733 8951 9361 9583 15059 16169 26011 31487 33649 54131 62657 65527 98461 105413 113183 170069 177859 182077 205873 220409 286121 331187 346357 598253 689227 1190483 1245013 1441111 1870759 2002847 2264603 2318309 2424499 3643057 3911587 4187771 6292553 6580783 7617301 12253919 13095313 15852221 25501399 27381109 43027457 44047871 46065481 53321107 69218083 83790311 85777433 134793109 144728719 232824461 281840137 301192199 484526581 586532177 943551763 1013101033 1592015909 1629771227 1972880959 2561069071 3100241507 5354962603 11144111363 17927483497 21701690549 37484738221 58904588633 412332120431