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432414101112 = 23376473978197
BaseRepresentation
bin1100100101011011110…
…00111000111001111000
31112100010200102022112020
412102231320320321320
524041041002213422
6530352010514440
743145424133350
oct6225570707170
91470120368466
10432414101112
1115742753a314
126b97a735a20
1331a12bb8526
1416d0109bb60
15b3ac43195c
hex64ade38e78

432414101112 has 64 divisors (see below), whose sum is σ = 1237378705920. Its totient is φ = 123355901568.

The previous prime is 432414101083. The next prime is 432414101159. The reversal of 432414101112 is 211101414234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1880403 + ... + 2097794.

It is an arithmetic number, because the mean of its divisors is an integer number (19334042280).

Almost surely, 2432414101112 is an apocalyptic number.

432414101112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

432414101112 is an abundant number, since it is smaller than the sum of its proper divisors (804964604808).

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

432414101112 is a wasteful number, since it uses less digits than its factorization.

432414101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978860 (or 3978856 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 432414101112 its reverse (211101414234), we get a palindrome (643515515346).

The spelling of 432414101112 in words is "four hundred thirty-two billion, four hundred fourteen million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 647 1294 1941 2588 3882 4529 5176 7764 9058 13587 15528 18116 27174 36232 54348 108696 3978197 7956394 11934591 15912788 23869182 27847379 31825576 47738364 55694758 83542137 95476728 111389516 167084274 222779032 334168548 668337096 2573893459 5147786918 7721680377 10295573836 15443360754 18017254213 20591147672 30886721508 36034508426 54051762639 61773443016 72069016852 108103525278 144138033704 216207050556 432414101112