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4005043302132 = 2233231612336273
BaseRepresentation
bin111010010001111111001…
…011101110111011110100
3112011212201100112222212000
4322101333023232323310
51011104312041132012
612303520321255300
7562232464240635
oct72217713567364
915155640488760
104005043302132
111304590595164
12548254a94530
1323089b908b92
14dbbb907388c
156e2a8b16ddc
hex3a47f2eeef4

4005043302132 has 48 divisors (see below), whose sum is σ = 10834899761280. Its totient is φ = 1276970327424.

The previous prime is 4005043302031. The next prime is 4005043302133. The reversal of 4005043302132 is 2312033405004.

4005043302132 is a `hidden beast` number, since 400 + 5 + 0 + 43 + 3 + 0 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4005043302096 and 4005043302105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005043302133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806165653 + ... + 806170620.

It is an arithmetic number, because the mean of its divisors is an integer number (225727078360).

Almost surely, 24005043302132 is an apocalyptic number.

It is an amenable number.

4005043302132 is an abundant number, since it is smaller than the sum of its proper divisors (6829856459148).

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

4005043302132 is a wasteful number, since it uses less digits than its factorization.

4005043302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612336309 (or 1612336301 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 4005043302132 its reverse (2312033405004), we get a palindrome (6317076707136).

The spelling of 4005043302132 in words is "four trillion, five billion, forty-three million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 1612336273 3224672546 4837008819 6449345092 9674017638 14511026457 19348035276 29022052914 37083734279 43533079371 58044105828 74167468558 87066158742 111251202837 148334937116 174132317484 222502405674 333753608511 445004811348 667507217022 1001260825533 1335014434044 2002521651066 4005043302132