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1054112440224 = 253311564322643
BaseRepresentation
bin11110101011011011111…
…11110101111110100000
310201202211220112012112210
433111231333311332200
5114232310241041344
62124130315522120
7136104613622304
oct17255577657640
93652756465483
101054112440224
11377056aa0178
12150364159340
1378530037c3c
143903add9d04
151c647191db9
hexf56dff5fa0

1054112440224 has 96 divisors (see below), whose sum is σ = 2856613423104. Its totient is φ = 339999517440.

The previous prime is 1054112440217. The next prime is 1054112440243. The reversal of 1054112440224 is 4220442114501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10541124402242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054112440191 and 1054112440200.

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, 46542247 + ... + 46564889.

It is an arithmetic number, because the mean of its divisors is an integer number (29756389824).

Almost surely, 21054112440224 is an apocalyptic number.

It is an amenable number.

1054112440224 is an abundant number, since it is smaller than the sum of its proper divisors (1802500982880).

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

1054112440224 is a wasteful number, since it uses less digits than its factorization.

1054112440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38330 (or 38322 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1054112440224 its reverse (4220442114501), we get a palindrome (5274554554725).

The spelling of 1054112440224 in words is "one trillion, fifty-four billion, one hundred twelve million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 15643 22643 31286 45286 46929 62572 67929 90572 93858 125144 135858 181144 187716 250288 271716 362288 375432 484933 500576 543432 701933 724576 750864 969866 1086864 1403866 1454799 1501728 1939732 2105799 2173728 2807732 2909598 3879464 4211598 5615464 5819196 7758928 8423196 11230928 11638392 15517856 16846392 22461856 23276784 33692784 46553568 67385568 354204449 708408898 1062613347 1416817796 2125226694 2833635592 4250453388 5667271184 8500906776 10980337919 11334542368 17001813552 21960675838 32941013757 34003627104 43921351676 65882027514 87842703352 131764055028 175685406704 263528110056 351370813408 527056220112 1054112440224