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413121434412 = 223157619354247
BaseRepresentation
bin1100000001011111111…
…01001101001100101100
31110111100010212022011010
412000233331031030230
523232033041400122
6513441350025220
741563351152561
oct6005775151454
91414303768133
10413121434412
1114a227309275
1268095648210
132cc59c19b0b
1415dd0adc868
15ab2d835e0c
hex602ff4d32c

413121434412 has 48 divisors (see below), whose sum is σ = 971659754240. Its totient is φ = 136608593472.

The previous prime is 413121434393. The next prime is 413121434423. The reversal of 413121434412 is 214434121314.

It is a happy number.

It is a super-3 number, since 3×4131214344123 (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413121434412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989073 + ... + 1343319.

Almost surely, 2413121434412 is an apocalyptic number.

It is an amenable number.

413121434412 is an abundant number, since it is smaller than the sum of its proper divisors (558538319828).

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

413121434412 is a wasteful number, since it uses less digits than its factorization.

413121434412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355030 (or 355028 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 413121434412 its reverse (214434121314), we get a palindrome (627555555726).

The spelling of 413121434412 in words is "four hundred thirteen billion, one hundred twenty-one million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 157 314 471 619 628 942 1238 1857 1884 2476 3714 7428 97183 194366 291549 354247 388732 583098 708494 1062741 1166196 1416988 2125482 4250964 55616779 111233558 166850337 219278893 222467116 333700674 438557786 657836679 667401348 877115572 1315673358 2631346716 34426786201 68853572402 103280358603 137707144804 206560717206 413121434412