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3456091940841 = 323773523127179
BaseRepresentation
bin110010010010101111001…
…000011110011111101001
3110020101202222201110212100
4302102233020132133221
5423111034014101331
611203412352404013
7504460115534241
oct62225710363751
913211688643770
103456091940841
1111127a1889481
12479992246609
131c0ba6058187
14bd3c08ccb21
155ed7a72bae6
hex324af21e7e9

3456091940841 has 48 divisors (see below), whose sum is σ = 5198473762560. Its totient is φ = 2210575898880.

The previous prime is 3456091940729. The next prime is 3456091940881. The reversal of 3456091940841 is 1480491906543.

3456091940841 is a `hidden beast` number, since 34 + 560 + 9 + 1 + 9 + 4 + 0 + 8 + 41 = 666.

3456091940841 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3456091940841 - 214 = 3456091924457 is a prime.

It is a super-2 number, since 2×34560919408412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3456091940881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 127146790 + ... + 127173968.

It is an arithmetic number, because the mean of its divisors is an integer number (108301536720).

Almost surely, 23456091940841 is an apocalyptic number.

It is an amenable number.

3456091940841 is a deficient number, since it is larger than the sum of its proper divisors (1742381821719).

3456091940841 is a wasteful number, since it uses less digits than its factorization.

3456091940841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32526 (or 32523 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3456091940841 in words is "three trillion, four hundred fifty-six billion, ninety-one million, nine hundred forty thousand, eight hundred forty-one".

Divisors: 1 3 9 37 73 111 219 333 657 2701 5231 8103 15693 24309 27179 47079 81537 193547 244611 381863 580641 1005623 1145589 1741923 1984067 3016869 3436767 5952201 9050607 14128931 17856603 42386793 73410479 127160379 142173349 220231437 426520047 660694311 1279560141 5260413913 10378654477 15781241739 31135963431 47343725217 93407890293 384010215649 1152030646947 3456091940841