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12444034040400 = 2435210370028367
BaseRepresentation
bin1011010100010101101000…
…1110101000001001010000
31122001122020010110111101110
42311011122032220021100
53112340340203243100
642244413232333320
72423023523045034
oct265053216501120
948048203414343
1012444034040400
113a68537889526
12148b8a19a4240
136c360ca8cc21
1431041a0041c4
15168a7054c250
hexb515a3a8250

12444034040400 has 60 divisors (see below), whose sum is σ = 39862389046592. Its totient is φ = 3318409077120.

The previous prime is 12444034040393. The next prime is 12444034040411. The reversal of 12444034040400 is 404043044421.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5185012984 + ... + 5185015383.

Almost surely, 212444034040400 is an apocalyptic number.

12444034040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444034040400 is an abundant number, since it is smaller than the sum of its proper divisors (27418355006192).

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

12444034040400 is a wasteful number, since it uses less digits than its factorization.

12444034040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370028388 (or 10370028377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12444034040400 its reverse (404043044421), we get a palindrome (12848077084821).

The spelling of 12444034040400 in words is "twelve trillion, four hundred forty-four billion, thirty-four million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10370028367 20740056734 31110085101 41480113468 51850141835 62220170202 82960226936 103700283670 124440340404 155550425505 165920453872 207400567340 248880680808 259250709175 311100851010 414801134680 497761361616 518501418350 622201702020 777752127525 829602269360 1037002836700 1244403404040 1555504255050 2074005673400 2488806808080 3111008510100 4148011346800 6222017020200 12444034040400