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114241051403144 = 23472234438813491
BaseRepresentation
bin11001111110011011010001…
…010010011010001110001000
3112222111100010021222112000022
4121332123101102122032020
5104433211133124400034
61042545340422000012
733030433515612041
oct3176332122321610
9488440107875008
10114241051403144
11334453a3293816
1210990820b76008
134b98b67235743
14202d42141b8c8
15d31a12ab0b2e
hex67e6d149a388

114241051403144 has 128 divisors (see below), whose sum is σ = 220549615534080. Its totient is φ = 55449950899200.

The previous prime is 114241051403123. The next prime is 114241051403179. The reversal of 114241051403144 is 441304150142411.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32724447239 + ... + 32724450729.

It is an arithmetic number, because the mean of its divisors is an integer number (1723043871360).

Almost surely, 2114241051403144 is an apocalyptic number.

It is an amenable number.

114241051403144 is a deficient number, since it is larger than the sum of its proper divisors (106308564130936).

114241051403144 is a wasteful number, since it uses less digits than its factorization.

114241051403144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 114241051403144 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-one million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 47 94 188 223 376 443 446 881 886 892 1762 1772 1784 3491 3524 3544 6982 7048 10481 13964 20821 20962 27928 41407 41642 41924 82814 83284 83848 98789 164077 165628 166568 196463 197578 328154 331256 390283 392926 395156 656308 778493 780566 785852 790312 1312616 1546513 1556986 1561132 1571704 3075571 3093026 3113972 3122264 4643083 6151142 6186052 6227944 9233761 9286166 12302284 12372104 18343301 18467522 18572332 24604568 36589171 36686602 36935044 37144664 72686111 73178342 73373204 73870088 87033109 144551837 145372222 146356684 146746408 174066218 289103674 290744444 292713368 344872399 348132436 578207348 581488888 685852333 689744798 696264872 1156414696 1362477953 1371704666 1379489596 2724955906 2743409332 2758979192 4090556123 5449911812 5486818664 8181112246 10899823624 16209002753 16362224492 32235059651 32418005506 32724448984 64036463791 64470119302 64836011012 128072927582 128940238604 129672022024 256145855164 257880477208 303832583519 512291710328 607665167038 1215330334076 2430660668152 14280131425393 28560262850786 57120525701572 114241051403144