Search a number
-
+
405322053240222 = 233109130035295859
BaseRepresentation
bin101110000101000110110010…
…1000000001100010110011110
31222011010102001210100221122000
41130022031211000030112132
5411111244031112141342
63554014214122103130
7151242360221030136
oct13412154500142636
91864112053327560
10405322053240222
1110816a13236a218
123956216764aaa6
1314521923313a91
147213998db1ac6
1531cd55415744c
hex170a36500c59e

405322053240222 has 64 divisors (see below), whose sum is σ = 909049197408000. Its totient is φ = 133857513671904.

The previous prime is 405322053240211. The next prime is 405322053240301. The reversal of 405322053240222 is 222042350223504.

405322053240222 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 220 + 5 + 3 + 2 + 402 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73887729 + ... + 79183587.

It is an arithmetic number, because the mean of its divisors is an integer number (14203893709500).

Almost surely, 2405322053240222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405322053240222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454524598704000).

405322053240222 is an abundant number, since it is smaller than the sum of its proper divisors (503727144167778).

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

405322053240222 is a wasteful number, since it uses less digits than its factorization.

405322053240222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308982 (or 5308976 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 405322053240222 in words is "four hundred five trillion, three hundred twenty-two billion, fifty-three million, two hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1962 2943 5886 13003 26006 39009 78018 117027 234054 351081 702162 1417327 2834654 4251981 5295859 8503962 10591718 12755943 15887577 25511886 31775154 38267829 47662731 76535658 95325462 142988193 285976386 577248631 1154497262 1731745893 3463491786 5195237679 10390475358 15585713037 31171426074 68862054577 137724109154 206586163731 413172327462 619758491193 1239516982386 1859275473579 3718550947158 7505963948893 15011927897786 22517891846679 45035783693358 67553675540037 135107351080074 202661026620111 405322053240222