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124401330216 = 233231239323291
BaseRepresentation
bin111001111011011100…
…1011010100000101000
3102220002202001100111200
41303312321122200220
54014233220031331
6133052120124200
711662531600632
oct1636671324050
9386082040450
10124401330216
1148838342709
1220139906660
13b966cc4987
146041ac9a52
1533815a35e6
hex1cf6e5a828

124401330216 has 96 divisors (see below), whose sum is σ = 347948939520. Its totient is φ = 40110969600.

The previous prime is 124401330199. The next prime is 124401330223. The reversal of 124401330216 is 612033104421.

It is a happy number.

124401330216 is a `hidden beast` number, since 1 + 2 + 440 + 1 + 3 + 3 + 0 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 124401330216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5329531 + ... + 5352821.

It is an arithmetic number, because the mean of its divisors is an integer number (3624468120).

Almost surely, 2124401330216 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 124401330216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173974469760).

124401330216 is an abundant number, since it is smaller than the sum of its proper divisors (223547609304).

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

124401330216 is a wasteful number, since it uses less digits than its factorization.

124401330216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25727 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 124401330216 its reverse (612033104421), we get a palindrome (736434434637).

The spelling of 124401330216 in words is "one hundred twenty-four billion, four hundred one million, three hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2393 4786 7179 9572 14358 19144 21537 23291 28716 43074 46582 57432 69873 74183 86148 93164 139746 148366 172296 186328 209619 222549 279492 296732 419238 445098 558984 593464 667647 722021 838476 890196 1335294 1444042 1676952 1780392 2166063 2670588 2888084 4332126 5341176 5776168 6498189 8664252 12996378 17328504 25992756 51985512 55735363 111470726 167206089 222941452 334412178 445882904 501618267 668824356 1003236534 1337648712 1727796253 2006473068 3455592506 4012946136 5183388759 6911185012 10366777518 13822370024 15550166277 20733555036 31100332554 41467110072 62200665108 124401330216