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402230141342010 = 2325172311430239879
BaseRepresentation
bin101101101110100111000000…
…0101100010101000100111010
31221202011211022010122110202200
41123131032000230111010322
5410210114312140421020
63543245550451411030
7150503111604363162
oct13335160054250472
91852154263573680
10402230141342010
1110718793273aa93
1239142a905b3a76
13143591a78534b7
1471480852d75a2
153177de07c8590
hex16dd380b1513a

402230141342010 has 96 divisors (see below), whose sum is σ = 1155460088989440. Its totient is φ = 96562666489344.

The previous prime is 402230141342009. The next prime is 402230141342011. The reversal of 402230141342010 is 10243141032204.

402230141342010 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 301 + 4 + 1 + 342 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (402230141342009) and next prime (402230141342011).

It is not an unprimeable number, because it can be changed into a prime (402230141342011) 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 47 ways as a sum of consecutive naturals, for example, 5715084750 + ... + 5715155129.

It is an arithmetic number, because the mean of its divisors is an integer number (12036042593640).

Almost surely, 2402230141342010 is an apocalyptic number.

402230141342010 is an abundant number, since it is smaller than the sum of its proper divisors (753229947647430).

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

402230141342010 is a wasteful number, since it uses less digits than its factorization.

402230141342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430239932 (or 11430239929 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 402230141342010 its reverse (10243141032204), we get a palindrome (412473282374214).

The spelling of 402230141342010 in words is "four hundred two trillion, two hundred thirty billion, one hundred forty-one million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 11430239879 22860479758 34290719637 57151199395 68581439274 102872158911 114302398790 171453598185 194314077943 205744317822 262895517217 342907196370 388628155886 514360794555 525791034434 582942233829 788686551651 971570389715 1028721589110 1165884467658 1314477586085 1577373103302 1748826701487 1943140779430 2366059654953 2628955172170 2914711169145 3497653402974 3943432758255 4469223792689 4732119309906 5829422338290 7886865516510 8744133507435 8938447585378 11830298274765 13407671378067 17488267014870 22346118963445 23660596549530 26815342756134 40223014134201 44692237926890 67038356890335 80446028268402 134076713780670 201115070671005 402230141342010