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4171420708641 = 332383337240151
BaseRepresentation
bin111100101100111100000…
…011001010111100100001
3112202210011110222221221000
4330230330003022330201
51021321032200134031
612512154010422213
7610242456664014
oct74547403127441
915683143887830
104171420708641
1113690a927220a
12574548431969
132434951a2104
14105c7d95937b
15737953db3e6
hex3cb3c0caf21

4171420708641 has 64 divisors (see below), whose sum is σ = 6545659760640. Its totient is φ = 2620178668800.

The previous prime is 4171420708627. The next prime is 4171420708673. The reversal of 4171420708641 is 1468070241714.

4171420708641 is a `hidden beast` number, since 41 + 7 + 1 + 420 + 70 + 86 + 41 = 666.

4171420708641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4171420708641 - 219 = 4171420184353 is a prime.

It is a super-2 number, since 2×41714207086412 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4171420706641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17249916 + ... + 17490066.

It is an arithmetic number, because the mean of its divisors is an integer number (102275933760).

Almost surely, 24171420708641 is an apocalyptic number.

It is an amenable number.

4171420708641 is a deficient number, since it is larger than the sum of its proper divisors (2374239051999).

4171420708641 is a wasteful number, since it uses less digits than its factorization.

4171420708641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240603 (or 240597 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 4171420708641 in words is "four trillion, one hundred seventy-one billion, four hundred twenty million, seven hundred eight thousand, six hundred forty-one".

Divisors: 1 3 9 23 27 69 83 207 249 337 621 747 1011 1909 2241 3033 5727 7751 9099 17181 23253 27971 51543 69759 83913 209277 240151 251739 643333 720453 755217 1929999 2161359 5523473 5789997 6484077 16570419 17369991 19932533 49711257 59797599 80930887 149133771 179392797 242792661 458448259 538178391 728377983 1375344777 1861410401 2185133949 4126034331 5584231203 6717263621 12378102993 16752693609 20151790863 50258080827 60455372589 154497063283 181366117767 463491189849 1390473569547 4171420708641