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42050015000 = 235474872467
BaseRepresentation
bin100111001010011000…
…000100111100011000
311000112112112002101222
4213022120010330120
51142104300440000
631152325431212
73016016141630
oct471230047430
9130475462358
1042050015000
1116919156714
12819656b508
133c719bbaa6
14206c9656c0
151161978a85
hex9ca604f18

42050015000 has 160 divisors (see below), whose sum is σ = 112874868480. Its totient is φ = 14381712000.

The previous prime is 42050014969. The next prime is 42050015003. The reversal of 42050015000 is 51005024.

It is a self number, because there is not a number n which added to its sum of digits gives 42050015000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42050015003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17043767 + ... + 17046233.

It is an arithmetic number, because the mean of its divisors is an integer number (705467928).

Almost surely, 242050015000 is an apocalyptic number.

42050015000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56437434240).

42050015000 is an abundant number, since it is smaller than the sum of its proper divisors (70824853480).

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

42050015000 is a wasteful number, since it uses less digits than its factorization.

42050015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The spelling of 42050015000 in words is "forty-two billion, fifty million, fifteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 487 500 625 700 875 974 1000 1250 1400 1750 1948 2435 2467 2500 3409 3500 3896 4375 4870 4934 5000 6818 7000 8750 9740 9868 12175 12335 13636 17045 17269 17500 19480 19736 24350 24670 27272 34090 34538 35000 48700 49340 60875 61675 68180 69076 85225 86345 97400 98680 121750 123350 136360 138152 170450 172690 243500 246700 304375 308375 340900 345380 426125 431725 487000 493400 608750 616750 681800 690760 852250 863450 1201429 1217500 1233500 1541875 1704500 1726900 2130625 2158625 2402858 2435000 2467000 3083750 3409000 3453800 4261250 4317250 4805716 6007145 6167500 8410003 8522500 8634500 9611432 10793125 12014290 12335000 16820006 17045000 17269000 21586250 24028580 30035725 33640012 42050015 43172500 48057160 60071450 67280024 84100030 86345000 120142900 150178625 168200060 210250075 240285800 300357250 336400120 420500150 600714500 750893125 841000300 1051250375 1201429000 1501786250 1682000600 2102500750 3003572500 4205001500 5256251875 6007145000 8410003000 10512503750 21025007500 42050015000