Search a number
-
+
412231120344 = 233317112263377
BaseRepresentation
bin1011111111110101110…
…00111011010111011000
31110102001002120122212000
411333322320323113120
523223222131322334
6513213143321000
741532320465001
oct5777270732730
91412032518760
10412231120344
1114990a7a211a
1267a87450160
132cb47635064
1415d487841a8
15aaca5be299
hex5ffae3b5d8

412231120344 has 64 divisors (see below), whose sum is σ = 1212444482400. Its totient is φ = 129327409152.

The previous prime is 412231120339. The next prime is 412231120369. The reversal of 412231120344 is 443021132214.

412231120344 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 311 + 2 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 56128017 + ... + 56135360.

Almost surely, 2412231120344 is an apocalyptic number.

It is an amenable number.

412231120344 is an abundant number, since it is smaller than the sum of its proper divisors (800213362056).

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

412231120344 is a wasteful number, since it uses less digits than its factorization.

412231120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112263409 (or 112263399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412231120344 its reverse (443021132214), we get a palindrome (855252252558).

The spelling of 412231120344 in words is "four hundred twelve billion, two hundred thirty-one million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 112263377 224526754 336790131 449053508 673580262 898107016 1010370393 1347160524 1908477409 2020740786 2694321048 3031111179 3816954818 4041481572 5725432227 6062222358 7633909636 8082963144 11450864454 12124444716 15267819272 17176296681 22901728908 24248889432 34352593362 45803457816 51528890043 68705186724 103057780086 137410373448 206115560172 412231120344