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3140431031322 = 23213229100935281
BaseRepresentation
bin101101101100110000010…
…001101010110000011010
3102010020000001000211000100
4231230300101222300122
5402423100321000242
610402405531520230
7442613544220344
oct55546021526032
912106001024010
103140431031322
1110009384a0052
12428777bb9076
1319a1ab7a9a00
14abdd7886294
1556a5320854c
hex2db3046ac1a

3140431031322 has 144 divisors (see below), whose sum is σ = 7629771310200. Its totient is φ = 932015185920.

The previous prime is 3140431031317. The next prime is 3140431031399. The reversal of 3140431031322 is 2231301340413.

It is a happy number.

3140431031322 is a `hidden beast` number, since 3 + 14 + 0 + 4 + 310 + 313 + 22 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 197597141361 + 2942833889961 = 444519^2 + 1715469^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88994322 + ... + 89029602.

Almost surely, 23140431031322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140431031322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814885655100).

3140431031322 is an abundant number, since it is smaller than the sum of its proper divisors (4489340278878).

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

3140431031322 is a wasteful number, since it uses less digits than its factorization.

3140431031322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36353 (or 36337 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3140431031322 its reverse (2231301340413), we get a palindrome (5371732371735).

The spelling of 3140431031322 in words is "three trillion, one hundred forty billion, four hundred thirty-one million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 169 174 234 261 338 377 507 522 754 1009 1014 1131 1521 2018 2262 3027 3042 3393 4901 6054 6786 9081 9802 13117 14703 18162 26234 29261 29406 35281 39351 44109 58522 70562 78702 87783 88218 105843 118053 170521 175566 211686 236106 263349 317529 341042 380393 458653 511563 526698 635058 760786 917306 1023126 1023149 1141179 1375959 1534689 2046298 2282358 2751918 3069378 3069447 3423537 4127877 4945109 5962489 6138894 6847074 8255754 9208341 9890218 11924978 13300937 14835327 17887467 18416682 26601874 29670654 35598529 35774934 39902811 44505981 53662401 71197058 79805622 89011962 106795587 107324802 119708433 172912181 213591174 239416866 320386761 345824362 462780877 518736543 640773522 925561754 1032357341 1037473086 1388342631 1556209629 2064714682 2776685262 3097072023 3112419258 4165027893 6016151401 6194144046 8330055786 9291216069 12032302802 13420645433 18048454203 18582432138 26841290866 36096908406 40261936299 54145362609 80523872598 108290725218 120785808897 174468390629 241571617794 348936781258 523405171887 1046810343774 1570215515661 3140431031322