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1204144002024 = 2333122359312239
BaseRepresentation
bin10001100001011100100…
…100110101001111101000
311021010002212101020001220
4101201130210311033220
5124212041331031044
62321102012542040
7152665545065415
oct21413444651750
94233085336056
101204144002024
11424746996157
12175455481920
138971ccb8202
14423d0a4510c
15214c8908019
hex1185c9353e8

1204144002024 has 128 divisors (see below), whose sum is σ = 3126922444800. Its totient is φ = 386008058880.

The previous prime is 1204144002013. The next prime is 1204144002049. The reversal of 1204144002024 is 4202004414021.

It is a super-2 number, since 2×12041440020242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1204144001985 and 1204144002003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98379697 + ... + 98391935.

It is an arithmetic number, because the mean of its divisors is an integer number (24429081600).

Almost surely, 21204144002024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204144002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563461222400).

1204144002024 is an abundant number, since it is smaller than the sum of its proper divisors (1922778442776).

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

1204144002024 is a wasteful number, since it uses less digits than its factorization.

1204144002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1204144002024 its reverse (4202004414021), we get a palindrome (5406148416045).

The spelling of 1204144002024 in words is "one trillion, two hundred four billion, one hundred forty-four million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 223 248 372 446 593 669 744 892 1186 1338 1779 1784 2372 2676 3558 4744 5352 6913 7116 12239 13826 14232 18383 20739 24478 27652 36717 36766 41478 48956 55149 55304 73434 73532 82956 97912 110298 132239 146868 147064 165912 220596 264478 293736 379409 396717 441192 528956 758818 793434 1057912 1138227 1517636 1586868 2276454 2729297 3035272 3173736 4099409 4552908 5458594 7257727 8187891 8198818 9105816 10917188 12298227 14515454 16375782 16397636 21773181 21834376 24596454 29030908 32751564 32795272 43546362 49192908 58061816 65503128 84608207 87092724 98385816 169216414 174185448 224989537 253824621 338432828 449979074 507649242 674968611 676865656 899958148 1015298484 1349937222 1618473121 1799916296 2030596968 2699874444 3236946242 4855419363 5399748888 6473892484 9710838726 12947784968 19421677452 38843354904 50172666751 100345333502 150518000253 200690667004 301036000506 401381334008 602072001012 1204144002024