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104214030234314 = 271113208127119227
BaseRepresentation
bin10111101100100000111000…
…010000001011001011001010
3111122222202121221122122222012
4113230200320100023023022
5102124420313214444224
61005351133051255522
730644133551133530
oct2754407020131312
9448882557578865
10104214030234314
1130229a16238710
12b831463a4a5a2
13461c457bc7230
141ba3db373a150
15c0aca580580e
hex5ec83840b2ca

104214030234314 has 128 divisors (see below), whose sum is σ = 210086680817664. Its totient is φ = 37443684096000.

The previous prime is 104214030234313. The next prime is 104214030234317. The reversal of 104214030234314 is 413432030412401.

It is not an unprimeable number, because it can be changed into a prime (104214030234313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11294460569 + ... + 11294469795.

It is an arithmetic number, because the mean of its divisors is an integer number (1641302193888).

Almost surely, 2104214030234314 is an apocalyptic number.

104214030234314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104214030234314 is an abundant number, since it is smaller than the sum of its proper divisors (105872650583350).

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

104214030234314 is a wasteful number, since it uses less digits than its factorization.

104214030234314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 104214030234314 its reverse (413432030412401), we get a palindrome (517646060646715).

The spelling of 104214030234314 in words is "one hundred four trillion, two hundred fourteen billion, thirty million, two hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 2081 2711 4162 5422 9227 14567 18454 18977 22891 27053 29134 29821 35243 37954 45782 54106 59642 64589 70486 101497 119951 129178 160237 189371 202994 208747 239902 246701 297583 320474 378742 387673 417494 493402 595166 710479 775346 839657 1319461 1420958 1679314 2083081 2638922 2713711 4166162 5427422 5641591 9236227 11283182 18472454 19201387 25014397 38402774 39491137 50028794 62057501 73340683 78982274 124115002 134409709 146681366 175100779 211215257 249618031 268819418 275158367 325187161 350201558 422430514 434402507 499236062 513384781 550316734 650374322 806747513 868805014 1026769562 1478506799 1613495026 1747326217 1926108569 2276310127 2745798341 2957013598 3494652434 3577058771 3852217138 4552620254 5491596682 5647232591 7154117542 11294465182 19220588387 25039411397 38441176774 50078822794 52054960157 104109920314 364384721099 572604561727 676714482041 728769442198 1145209123454 1353428964082 4008231932089 4737001374287 7443859302451 8016463864178 9474002748574 14887718604902 52107015117157 104214030234314