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4434304343112 = 2332782311068913
BaseRepresentation
bin100000010000111000100…
…1000101001110001001000
3120200220201021221021000100
41000201301020221301020
51040122423402434422
613233031415205400
7635240124005220
oct100416110516110
916626637837010
104434304343112
11145a63a221756
125b7493676860
132621cb4ac147
1411489b485080
157a52e31d7ac
hex40871229c48

4434304343112 has 96 divisors (see below), whose sum is σ = 13726908074880. Its totient is φ = 1266788989440.

The previous prime is 4434304343101. The next prime is 4434304343113. The reversal of 4434304343112 is 2113434034344.

4434304343112 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 304 + 34 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4434304343113) 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, 3613968 + ... + 4682880.

It is an arithmetic number, because the mean of its divisors is an integer number (142988625780).

Almost surely, 24434304343112 is an apocalyptic number.

4434304343112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4434304343112 is an abundant number, since it is smaller than the sum of its proper divisors (9292603731768).

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

4434304343112 is a wasteful number, since it uses less digits than its factorization.

4434304343112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077163 (or 1077156 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4434304343112 its reverse (2113434034344), we get a palindrome (6547738377456).

The spelling of 4434304343112 in words is "four trillion, four hundred thirty-four billion, three hundred four million, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 8231 16462 24693 32924 49386 57617 65848 74079 98772 115234 148158 172851 197544 230468 296316 345702 460936 518553 592632 691404 1037106 1068913 1382808 2074212 2137826 3206739 4148424 4275652 6413478 7482391 8551304 9620217 12826956 14964782 19240434 22447173 25653912 29929564 38480868 44894346 59859128 67341519 76961736 89788692 134683038 179577384 269366076 538732152 8798222903 17596445806 26394668709 35192891612 52789337418 61587560321 70385783224 79184006127 105578674836 123175120642 158368012254 184762680963 211157349672 246350241284 316736024508 369525361926 492700482568 554288042889 633472049016 739050723852 1108576085778 1478101447704 2217152171556 4434304343112