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141234414421100 = 2252711131410933211
BaseRepresentation
bin100000000111001110110011…
…000110100000010001101100
3200112001212201011202101021112
4200013032303012200101230
5122002441040042433400
61220214105544051152
741514564310531250
oct4007166306402154
9615055634671245
10141234414421100
11410021a6a70270
1213a10213763ab8
1360a646ab02490
1426c3ad4250260
15114dc70637835
hex8073b31a046c

141234414421100 has 144 divisors (see below), whose sum is σ = 411495849413376. Its totient is φ = 40634876448000.

The previous prime is 141234414421049. The next prime is 141234414421153. The reversal of 141234414421100 is 1124414432141.

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 47 ways as a sum of consecutive naturals, for example, 705366506 + ... + 705566705.

Almost surely, 2141234414421100 is an apocalyptic number.

141234414421100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141234414421100 is an abundant number, since it is smaller than the sum of its proper divisors (270261434992276).

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

141234414421100 is a wasteful number, since it uses less digits than its factorization.

141234414421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410933256 (or 1410933249 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 141234414421100 its reverse (1124414432141), we get a palindrome (142358828853241).

The spelling of 141234414421100 in words is "one hundred forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 1410933211 2821866422 5643732844 7054666055 9876532477 14109332110 15520265321 18342131743 19753064954 28218664220 31040530642 35273330275 36684263486 39506129908 49382662385 62081061284 70546660550 73368526972 77601326605 91710658715 98765324770 108641857247 128394922201 141093321100 155202653210 183421317430 197530649540 201763449173 217283714494 246913311925 256789844402 310405306420 366842634860 388006633025 403526898346 434567428988 458553293575 493826623850 513579688804 543209286235 641974611005 776013266050 807053796692 917106587150 987653247700 1008817245865 1086418572470 1283949222010 1412344144211 1552026532100 1834213174300 2017634491730 2172837144940 2567898444020 2716046431175 2824688288422 3209873055025 4035268983460 5044086229325 5432092862350 5649376576844 6419746110050 7061720721055 10088172458650 10864185724700 12839492220100 14123441442110 20176344917300 28246882884220 35308603605275 70617207210550 141234414421100