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42114001501000 = 23531113294503507
BaseRepresentation
bin10011001001101011011100…
…00110010111101101001000
312112010001121011201011002101
421210311232012113231020
521004443433341013000
6225322523305043144
711604431134236652
oct1144655606275510
9175101534634071
1042114001501000
11124674a1a34990
124881b85a864b4
131a664443546b0
14a584857736d2
154d0736261e6a
hex264d6e197b48

42114001501000 has 128 divisors (see below), whose sum is σ = 115775219064960. Its totient is φ = 14136168288000.

The previous prime is 42114001500979. The next prime is 42114001501003. The reversal of 42114001501000 is 10510041124.

42114001501000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42114001501003) by changing a digit.

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, 147108754 + ... + 147394753.

It is an arithmetic number, because the mean of its divisors is an integer number (904493898945).

Almost surely, 242114001501000 is an apocalyptic number.

42114001501000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114001501000 is an abundant number, since it is smaller than the sum of its proper divisors (73661217563960).

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

42114001501000 is a wasteful number, since it uses less digits than its factorization.

42114001501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294503552 (or 294503538 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 42114001501000 its reverse (10510041124), we get a palindrome (42124511542124).

The spelling of 42114001501000 in words is "forty-two trillion, one hundred fourteen billion, one million, five hundred one thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 650 715 1000 1100 1144 1300 1375 1430 1625 2200 2600 2750 2860 3250 3575 5500 5720 6500 7150 11000 13000 14300 17875 28600 35750 71500 143000 294503507 589007014 1178014028 1472517535 2356028056 2945035070 3239538577 3828545591 5890070140 6479077154 7362587675 7657091182 11780140280 12958154308 14725175350 15314182364 16197692885 19142727955 25916308616 29450350700 30628364728 32395385770 36812938375 38285455910 42114001501 58900701400 64790771540 73625876750 76570911820 80988464425 84228003002 95713639775 129581543080 147251753500 153141823640 161976928850 168456006004 191427279550 210570007505 294503507000 323953857700 336912012008 382854559100 404942322125 421140015010 478568198875 647907715400 765709118200 809884644250 842280030020 957136397750 1052850037525 1619769288500 1684560060040 1914272795500 2105700075050 3239538577000 3828545591000 4211400150100 5264250187625 8422800300200 10528500375250 21057000750500 42114001501000