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54434388343445 = 5112421213715429
BaseRepresentation
bin11000110000001111111100…
…11000010111101010010101
321010201212200010011011221122
430120013332120113222111
524113323111403442240
6311434451321053325
714315516613423305
oct1430077630275225
9233655603134848
1054434388343445
1116387549133500
1261318ba627245
13244b1aa433256
14d628d1cb7605
15645e6b5224b5
hex3181fe617a95

54434388343445 has 24 divisors (see below), whose sum is σ = 71969953345080. Its totient is φ = 39494611094400.

The previous prime is 54434388343411. The next prime is 54434388343459.

It is a happy number.

54434388343445 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5001874101169 + 49432514242276 = 2236487^2 + 7030826^2 .

It is not a de Polignac number, because 54434388343445 - 26 = 54434388343381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106603010 + ... + 107112419.

It is an arithmetic number, because the mean of its divisors is an integer number (2998748056045).

Almost surely, 254434388343445 is an apocalyptic number.

54434388343445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54434388343445 is a deficient number, since it is larger than the sum of its proper divisors (17535565001635).

54434388343445 is a wasteful number, since it uses less digits than its factorization.

54434388343445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213715877 (or 213715866 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 62.

The spelling of 54434388343445 in words is "fifty-four trillion, four hundred thirty-four billion, three hundred eighty-eight million, three hundred forty-three thousand, four hundred forty-five".

Divisors: 1 5 11 55 121 421 605 2105 4631 23155 50941 254705 213715429 1068577145 2350869719 11754348595 25859566909 89974195609 129297834545 449870978045 989716151699 4948580758495 10886877668689 54434388343445