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4000202182040 = 235100005054551
BaseRepresentation
bin111010001101011110101…
…000010100110110011000
3112011102012222010121112212
4322031132220110312120
51011014403224311130
612301400103254252
7562001511346121
oct72153650246630
915142188117485
104000202182040
111302526934a69
1254732374a388
132302a9967c8c
14db87a12d048
156e0c3ae5e95
hex3a35ea14d98

4000202182040 has 16 divisors (see below), whose sum is σ = 9000454909680. Its totient is φ = 1600080872800.

The previous prime is 4000202181973. The next prime is 4000202182049. The reversal of 4000202182040 is 402812020004.

It is a happy number.

4000202182040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4000202181997 and 4000202182015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000202182049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50002527236 + ... + 50002527315.

It is an arithmetic number, because the mean of its divisors is an integer number (562528431855).

Almost surely, 24000202182040 is an apocalyptic number.

4000202182040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000202182040 is an abundant number, since it is smaller than the sum of its proper divisors (5000252727640).

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

4000202182040 is a wasteful number, since it uses less digits than its factorization.

4000202182040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005054562 (or 100005054558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The spelling of 4000202182040 in words is "four trillion, two hundred two million, one hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 100005054551 200010109102 400020218204 500025272755 800040436408 1000050545510 2000101091020 4000202182040