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4000857420681 = 321123673881929
BaseRepresentation
bin111010001110000101101…
…011110111001110001001
3112011110220122002011222200
4322032011223313032021
51011022223444430211
612301545111310413
7562023655651632
oct72160553671611
915143818064880
104000857420681
111302832791500
1254748707b409
13230382634554
14db8dd174889
156e1113c5b56
hex3a385af7389

4000857420681 has 18 divisors (see below), whose sum is σ = 6352141856970. Its totient is φ = 2424762072480.

The previous prime is 4000857420661. The next prime is 4000857420713. The reversal of 4000857420681 is 1860247580004.

4000857420681 is a `hidden beast` number, since 400 + 0 + 85 + 74 + 20 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2915283056400 + 1085574364281 = 1707420^2 + 1041909^2 .

It is not a de Polignac number, because 4000857420681 - 218 = 4000857158537 is a prime.

It is a super-2 number, since 2×40008574206812 (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 (4000857420611) 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 17 ways as a sum of consecutive naturals, for example, 1836939876 + ... + 1836942053.

Almost surely, 24000857420681 is an apocalyptic number.

It is an amenable number.

4000857420681 is a deficient number, since it is larger than the sum of its proper divisors (2351284436289).

4000857420681 is a wasteful number, since it uses less digits than its factorization.

4000857420681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673881957 (or 3673881943 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4000857420681 in words is "four trillion, eight hundred fifty-seven million, four hundred twenty thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 3673881929 11021645787 33064937361 40412701219 121238103657 363714310971 444539713409 1333619140227 4000857420681