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13014532542000 = 2435311197189887
BaseRepresentation
bin1011110101100010111010…
…0101101100111000110000
31201002011210011001011010210
42331120232211230320300
53201212230312321000
643402443235224120
72512161151230453
oct275305645547060
951064704034123
1013014532542000
114168483371690
121562378748040
1373535a7043b2
1432dc9a12549a
15178810410350
hexbd62e96ce30

13014532542000 has 160 divisors (see below), whose sum is σ = 45773294321664. Its totient is φ = 3155038176000.

The previous prime is 13014532541891. The next prime is 13014532542013. The reversal of 13014532542000 is 24523541031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98528944 + ... + 98660943.

Almost surely, 213014532542000 is an apocalyptic number.

13014532542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014532542000 is an abundant number, since it is smaller than the sum of its proper divisors (32758761779664).

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

13014532542000 is a wasteful number, since it uses less digits than its factorization.

13014532542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197189924 (or 197189908 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13014532542000 in words is "thirteen trillion, fourteen billion, five hundred thirty-two million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 197189887 394379774 591569661 788759548 985949435 1183139322 1577519096 1971898870 2169088757 2366278644 2957848305 3155038192 3943797740 4338177514 4732557288 4929747175 5915696610 6507266271 7887595480 8676355028 9465114576 9859494350 10845443785 11831393220 13014532542 14789241525 15775190960 17352710056 19718988700 21690887570 23662786440 24648735875 26029065084 29578483050 32536331355 34705420112 39437977400 43381775140 47325572880 49297471750 52058130168 54227218925 59156966100 65072662710 73946207625 78875954800 86763550280 98594943500 104116260336 108454437850 118313932200 130145325420 147892415250 162681656775 173527100560 197189887000 216908875700 236627864400 260290650840 271136094625 295784830500 325363313550 394379774000 433817751400 520581301680 542272189250 591569661000 650726627100 813408283875 867635502800 1084544378500 1183139322000 1301453254200 1626816567750 2169088757000 2602906508400 3253633135500 4338177514000 6507266271000 13014532542000