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413212232430 = 232529158318863
BaseRepresentation
bin1100000001101010101…
…11100100101011101110
31110111120110201022121200
412000311113210223232
523232224312414210
6513454352110330
741565533011044
oct6006527445356
91414513638550
10413212232430
1114a273595158
12680bbb353a6
132cc7298b05a
1415ddcbb6394
15ab367be0c0
hex60355e4aee

413212232430 has 48 divisors (see below), whose sum is σ = 1111398425280. Its totient is φ = 106390275264.

The previous prime is 413212232399. The next prime is 413212232437. The reversal of 413212232430 is 34232212314.

413212232430 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 223 + 2 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413212232394 and 413212232403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413212232437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79156822 + ... + 79162041.

It is an arithmetic number, because the mean of its divisors is an integer number (23154133860).

Almost surely, 2413212232430 is an apocalyptic number.

413212232430 is an abundant number, since it is smaller than the sum of its proper divisors (698186192850).

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

413212232430 is a wasteful number, since it uses less digits than its factorization.

413212232430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158318905 (or 158318902 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413212232430 its reverse (34232212314), we get a palindrome (447444444744).

The spelling of 413212232430 in words is "four hundred thirteen billion, two hundred twelve million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 158318863 316637726 474956589 791594315 949913178 1424869767 1583188630 2374782945 2849739534 4591247027 4749565890 7124348835 9182494054 13773741081 14248697670 22956235135 27547482162 41321223243 45912470270 68868705405 82642446486 137737410810 206606116215 413212232430