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2412312314232 = 233614014109113
BaseRepresentation
bin100011000110101001000…
…001001100000101111000
322112121121012012120220010
4203012221001030011320
5304010403423023412
65044111224501520
7336166230230652
oct43065101140570
98477535176803
102412312314232
1185006845a097
1232b63261a8a0
13146631957042
1484a83d2b6d2
1542b3a78933c
hex231a904c178

2412312314232 has 64 divisors (see below), whose sum is σ = 6144933440160. Its totient is φ = 788949504000.

The previous prime is 2412312314219. The next prime is 2412312314249. The reversal of 2412312314232 is 2324132132142.

It is a happy number.

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 2412312314232.

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, 1467493 + ... + 2641620.

Almost surely, 22412312314232 is an apocalyptic number.

It is an amenable number.

2412312314232 is an abundant number, since it is smaller than the sum of its proper divisors (3732621125928).

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

2412312314232 is a wasteful number, since it uses less digits than its factorization.

2412312314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109584 (or 4109580 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 2412312314232 its reverse (2324132132142), we get a palindrome (4736444446374).

The spelling of 2412312314232 in words is "two trillion, four hundred twelve billion, three hundred twelve million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 401 488 732 802 1203 1464 1604 2406 3208 4812 9624 24461 48922 73383 97844 146766 195688 293532 587064 4109113 8218226 12327339 16436452 24654678 32872904 49309356 98618712 250655893 501311786 751967679 1002623572 1503935358 1647754313 2005247144 3007870716 3295508626 4943262939 6015741432 6591017252 9886525878 13182034504 19773051756 39546103512 100513013093 201026026186 301539039279 402052052372 603078078558 804104104744 1206156157116 2412312314232