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104144012400 = 2435286786677
BaseRepresentation
bin110000011111101110…
…1111000010001110000
3100221210222022222120110
41200333131320101300
53201241331344100
6115502035341320
710344533333211
oct1407735702160
9327728288513
10104144012400
1140192641a3a
1218225751840
139a8921489c
14507d581408
152a97e5a250
hex183f778470

104144012400 has 60 divisors (see below), whose sum is σ = 333607990232. Its totient is φ = 27771736320.

The previous prime is 104144012381. The next prime is 104144012407. The reversal of 104144012400 is 4210441401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144012407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43392139 + ... + 43394538.

Almost surely, 2104144012400 is an apocalyptic number.

104144012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104144012400 is an abundant number, since it is smaller than the sum of its proper divisors (229463977832).

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

104144012400 is a wasteful number, since it uses less digits than its factorization.

104144012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86786698 (or 86786687 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 104144012400 its reverse (4210441401), we get a palindrome (108354453801).

The spelling of 104144012400 in words is "one hundred four billion, one hundred forty-four million, twelve 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 86786677 173573354 260360031 347146708 433933385 520720062 694293416 867866770 1041440124 1301800155 1388586832 1735733540 2082880248 2169666925 2603600310 3471467080 4165760496 4339333850 5207200620 6509000775 6942934160 8678667700 10414401240 13018001550 17357335400 20828802480 26036003100 34714670800 52072006200 104144012400