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12046140615040 = 275724107111539
BaseRepresentation
bin1010111101001011010111…
…1011101010100110000000
31120122121012020210012112121
42233102311323222212000
53034330443444140130
641341530503334024
72352206410533040
oct257226573524600
946577166705477
1012046140615040
113924815375904
121426758151314
13694c3ba0216c
142d907191d720
1515d533a68d7a
hexaf4b5eea980

12046140615040 has 128 divisors (see below), whose sum is σ = 32913437356800. Its totient is φ = 4129897003008.

The previous prime is 12046140615037. The next prime is 12046140615121. The reversal of 12046140615040 is 4051604164021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12046140614987 and 12046140615005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 107943591 + ... + 108055129.

It is an arithmetic number, because the mean of its divisors is an integer number (257136229350).

Almost surely, 212046140615040 is an apocalyptic number.

12046140615040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12046140615040 is an abundant number, since it is smaller than the sum of its proper divisors (20867296741760).

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

12046140615040 is a wasteful number, since it uses less digits than its factorization.

12046140615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135672 (or 135660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 12046140615040 its reverse (4051604164021), we get a palindrome (16097744779061).

The spelling of 12046140615040 in words is "twelve trillion, forty-six billion, one hundred forty million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 24107 48214 96428 111539 120535 168749 192856 223078 241070 337498 385712 446156 482140 557695 674996 771424 780773 843745 892312 964280 1115390 1349992 1542848 1561546 1687490 1784624 1928560 2230780 2699984 3085696 3123092 3374980 3569248 3857120 3903865 4461560 5399968 6246184 6749960 7138496 7714240 7807730 8923120 10799936 12492368 13499920 14276992 15428480 15615460 17846240 21599872 24984736 26999840 31230920 35692480 49969472 53999680 62461840 71384960 99938944 107999360 124923680 249847360 499694720 2688870673 5377741346 10755482692 13444353365 18822094711 21510965384 26888706730 37644189422 43021930768 53777413460 75288378844 86043861536 94110473555 107554826920 150576757688 172087723072 188220947110 215109653840 301153515376 344175446144 376441894220 430219307680 602307030752 752883788440 860438615360 1204614061504 1505767576880 1720877230720 2409228123008 3011535153760 6023070307520 12046140615040