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4204304034024 = 233533838629949
BaseRepresentation
bin111101001011100100000…
…011000110100011101000
3112212221001011202222011010
4331023210003012203220
51022340403313042044
612535233002303520
7612515400434223
oct75134403064350
915787034688133
104204304034024
111381043026286
1257a9a4ab7ba0
13246605a1a2b3
141076bccb85ba
157456c20dbb9
hex3d2e40c68e8

4204304034024 has 64 divisors (see below), whose sum is σ = 10737038592000. Its totient is φ = 1371402296576.

The previous prime is 4204304034019. The next prime is 4204304034043.

4204304034024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4204304033982 and 4204304034000.

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 15 ways as a sum of consecutive naturals, for example, 3827799 + ... + 4802150.

It is an arithmetic number, because the mean of its divisors is an integer number (167766228000).

Almost surely, 24204304034024 is an apocalyptic number.

It is an amenable number.

4204304034024 is an abundant number, since it is smaller than the sum of its proper divisors (6532734557976).

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

4204304034024 is a wasteful number, since it uses less digits than its factorization.

4204304034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630394 (or 8630390 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 4204304034024 in words is "four trillion, two hundred four billion, three hundred four million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 383 424 636 766 1149 1272 1532 2298 3064 4596 9192 20299 40598 60897 81196 121794 162392 243588 487176 8629949 17259898 25889847 34519796 51779694 69039592 103559388 207118776 457387297 914774594 1372161891 1829549188 2744323782 3305270467 3659098376 5488647564 6610540934 9915811401 10977295128 13221081868 19831622802 26442163736 39663245604 79326491208 175179334751 350358669502 525538004253 700717339004 1051076008506 1401434678008 2102152017012 4204304034024