Search a number
-
+
406340903221002 = 232105126897987751
BaseRepresentation
bin101110001100100001001110…
…1001100011011011100001010
31222021201210220012100121120100
41130121002131030123130022
5411224442132211033002
64000114233421110230
7151406106245002311
oct13431023514333412
91867653805317510
10406340903221002
11108522233645722
12396a770a3b8376
1314596a239424a9
14724b00caa1278
1531e9cd56c311c
hex171909d31b70a

406340903221002 has 48 divisors (see below), whose sum is σ = 881570805560640. Its totient is φ = 135267753600000.

The previous prime is 406340903220997. The next prime is 406340903221009. The reversal of 406340903221002 is 200122309043604.

406340903221002 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 409 + 0 + 32 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×4063409032210022 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406340903221009) 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 23 ways as a sum of consecutive naturals, for example, 46876627 + ... + 54864377.

It is an arithmetic number, because the mean of its divisors is an integer number (18366058449180).

Almost surely, 2406340903221002 is an apocalyptic number.

406340903221002 is an abundant number, since it is smaller than the sum of its proper divisors (475229902339638).

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

406340903221002 is a wasteful number, since it uses less digits than its factorization.

406340903221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991499 (or 7991496 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 406340903221002 in words is "four hundred six trillion, three hundred forty billion, nine hundred three million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 1051 2102 2689 3153 5378 6306 8067 9459 16134 18918 24201 48402 2826139 5652278 7987751 8478417 15975502 16956834 23963253 25435251 47926506 50870502 71889759 143779518 8395126301 16790252602 21479062439 25185378903 42958124878 50370757806 64437187317 75556136709 128874374634 151112273418 193311561951 386623123902 22574494623389 45148989246778 67723483870167 135446967740334 203170451610501 406340903221002