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3003858742000 = 245323289722541
BaseRepresentation
bin101011101101100011111…
…011101110101011110000
3101122011111002011200100111
4223231203323232223300
5343203400314221000
610215541553431104
7430010264010544
oct53554373565360
911564432150314
103003858742000
11a58a24a49756
1240620226b494
1318a3550c37ac
14a555d599a24
155320d3b4cba
hex2bb63eeeaf0

3003858742000 has 160 divisors (see below), whose sum is σ = 7582079965824. Its totient is φ = 1148854784000.

The previous prime is 3003858741997. The next prime is 3003858742019. The reversal of 3003858742000 is 2478583003.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133250730 + ... + 133273270.

Almost surely, 23003858742000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003858742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791039982912).

3003858742000 is an abundant number, since it is smaller than the sum of its proper divisors (4578221223824).

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

3003858742000 is a wasteful number, since it uses less digits than its factorization.

3003858742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25484 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 3003858742000 in words is "three trillion, three billion, eight hundred fifty-eight million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 2897 4600 5750 5794 9200 11500 11588 14485 22541 23000 23176 28970 45082 46000 46352 57940 66631 72425 90164 112705 115880 133262 144850 180328 225410 231760 266524 289700 333155 360656 362125 450820 518443 533048 563525 579400 666310 724250 901640 1036886 1066096 1127050 1158800 1332620 1448500 1665775 1803280 2073772 2254100 2592215 2665240 2817625 2897000 3331550 4147544 4508200 5184430 5330480 5635250 5794000 6663100 8295088 8328875 9016400 10368860 11270500 12961075 13326200 16657750 20737720 22541000 25922150 26652400 33315500 41475440 45082000 51844300 64805375 65301277 66631000 103688600 129610750 130602554 133262000 207377200 259221500 261205108 326506385 518443000 522410216 653012770 1036886000 1044820432 1306025540 1501929371 1632531925 2612051080 3003858742 3265063850 5224102160 6007717484 6530127700 7509646855 8162659625 12015434968 13060255400 15019293710 16325319250 24030869936 26120510800 30038587420 32650638500 37548234275 60077174840 65301277000 75096468550 120154349680 130602554000 150192937100 187741171375 300385874200 375482342750 600771748400 750964685500 1501929371000 3003858742000