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3130343144334 = 2327229383319541
BaseRepresentation
bin101101100011010110111…
…111011011101110001110
3102002020221222220001121100
4231203112333123232032
5402241420321104314
610354020525243530
7442105551463200
oct55432677335616
912066858801540
103130343144334
11aa763110826a
124268217035a6
1319926182a303
14ab71bba6770
1556662789c09
hex2d8d6fdbb8e

3130343144334 has 144 divisors (see below), whose sum is σ = 8183138296320. Its totient is φ = 861285559680.

The previous prime is 3130343144321. The next prime is 3130343144351. The reversal of 3130343144334 is 4334413430313.

3130343144334 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 4 + 314 + 4 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9636604 + ... + 9956144.

It is an arithmetic number, because the mean of its divisors is an integer number (56827349280).

Almost surely, 23130343144334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130343144334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091569148160).

3130343144334 is an abundant number, since it is smaller than the sum of its proper divisors (5052795151986).

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

3130343144334 is a wasteful number, since it uses less digits than its factorization.

3130343144334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319975 (or 319965 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 3130343144334 its reverse (4334413430313), we get a palindrome (7464756574647).

The spelling of 3130343144334 in words is "three trillion, one hundred thirty billion, three hundred forty-three million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 383 406 441 522 609 766 882 1149 1218 1421 1827 2298 2681 2842 3447 3654 4263 5362 6894 8043 8526 11107 12789 16086 18767 22214 24129 25578 33321 37534 48258 56301 66642 77749 99963 112602 155498 168903 199926 233247 319541 337806 466494 544243 639082 699741 958623 1088486 1399482 1632729 1917246 2236787 2875869 3265458 4473574 4898187 5751738 6710361 9266689 9796374 13420722 15657509 18533378 20131083 27800067 31315018 40262166 46972527 55600134 64866823 83400201 93945054 122384203 129733646 140917581 166800402 194600469 244768406 281835162 367152609 389200938 454067761 583801407 734305218 856689421 908135522 1101457827 1167602814 1362203283 1713378842 2202915654 2570068263 2724406566 3549141887 4086609849 5140136526 5996825947 7098283774 7710204789 8173219698 10647425661 11993651894 15420409578 17990477841 21294851322 24843993209 31942276983 35980955682 49687986418 53971433523 63884553966 74531979627 107942867046 149063959254 173907952463 223595938881 347815904926 447191877762 521723857389 1043447714778 1565171572167 3130343144334