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4340004133032 = 233320092611727
BaseRepresentation
bin111111001001111100011…
…001111001100010101000
3120100220022100110020122000
4333021330121321202220
51032101312024224112
613121434222331000
7625361230312101
oct77117431714250
916326270406560
104340004133032
11142364920a137
125a1156729a60
132563507c5b79
141100b34073a8
1577d606ba7dc
hex3f27c6798a8

4340004133032 has 32 divisors (see below), whose sum is σ = 12055567036800. Its totient is φ = 1446668044272.

The previous prime is 4340004133009. The next prime is 4340004133081. The reversal of 4340004133032 is 2303314000434.

4340004133032 is a `hidden beast` number, since 4 + 340 + 0 + 0 + 4 + 13 + 303 + 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 = 4340004132987 and 4340004133005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10046305648 + ... + 10046306079.

It is an arithmetic number, because the mean of its divisors is an integer number (376736469900).

Almost surely, 24340004133032 is an apocalyptic number.

It is an amenable number.

4340004133032 is an abundant number, since it is smaller than the sum of its proper divisors (7715562903768).

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

4340004133032 is a wasteful number, since it uses less digits than its factorization.

4340004133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092611742 (or 20092611732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4340004133032 its reverse (2303314000434), we get a palindrome (6643318133466).

The spelling of 4340004133032 in words is "four trillion, three hundred forty billion, four million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 20092611727 40185223454 60277835181 80370446908 120555670362 160740893816 180833505543 241111340724 361667011086 482222681448 542500516629 723334022172 1085001033258 1446668044344 2170002066516 4340004133032