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4434554554344 = 233353387365003
BaseRepresentation
bin100000010001000000000…
…0011001000011111101000
3120200221100201202022022000
41000202000003020133220
51040123431431214334
613233112314131000
7635246252530065
oct100420003103750
916627321668260
104434554554344
11145a75848a0a2
125b7543420a60
1326223b296a25
141148c27b7c6c
157a546295299
hex408800c87e8

4434554554344 has 64 divisors (see below), whose sum is σ = 12550626129600. Its totient is φ = 1450294567488.

The previous prime is 4434554554327. The next prime is 4434554554349.

It is a happy number.

4434554554344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 5 + 54 + 5 + 543 + 44 = 666.

4434554554344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44345545543442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4434554554349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193671054 + ... + 193693949.

It is an arithmetic number, because the mean of its divisors is an integer number (196103533275).

Almost surely, 24434554554344 is an apocalyptic number.

It is an amenable number.

4434554554344 is an abundant number, since it is smaller than the sum of its proper divisors (8116071575256).

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

4434554554344 is a wasteful number, since it uses less digits than its factorization.

4434554554344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387365071 (or 387365061 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

The spelling of 4434554554344 in words is "four trillion, four hundred thirty-four billion, five hundred fifty-four million, five hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 387365003 774730006 1162095009 1549460012 2324190018 3098920024 3486285027 4648380036 6972570054 9296760072 10458855081 13945140108 20530345159 20917710162 27890280216 41060690318 41835420324 61591035477 82121380636 83670840648 123182070954 164242761272 184773106431 246364141908 369546212862 492728283816 554319319293 739092425724 1108638638586 1478184851448 2217277277172 4434554554344