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1420100030034 = 232725557289741
BaseRepresentation
bin10100101010100100100…
…011101100111001010010
312000202112012202010010200
4110222210203230321102
5141231331101430114
63004215052040030
7204412255042500
oct24524443547122
95022465663120
101420100030034
114a8296499364
121ab284763016
13a3bb7c35b7a
144ca39ccd670
1526e17a89409
hex14aa48ece52

1420100030034 has 72 divisors (see below), whose sum is σ = 3579888158028. Its totient is φ = 405668450880.

The previous prime is 1420100029951. The next prime is 1420100030071. The reversal of 1420100030034 is 4300300010241.

It can be written as a sum of positive squares in 2 ways, for example, as 1407034854225 + 13065175809 = 1186185^2 + 114303^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1420100029989 and 1420100030016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4756404 + ... + 5046144.

Almost surely, 21420100030034 is an apocalyptic number.

1420100030034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1420100030034 is an abundant number, since it is smaller than the sum of its proper divisors (2159788127994).

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

1420100030034 is a wasteful number, since it uses less digits than its factorization.

1420100030034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295320 (or 295310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1420100030034 its reverse (4300300010241), we get a palindrome (5720400040275).

The spelling of 1420100030034 in words is "one trillion, four hundred twenty billion, one hundred million, thirty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 5557 11114 16671 33342 38899 50013 77798 100026 116697 233394 272293 289741 350091 544586 579482 700182 816879 869223 1633758 1738446 2028187 2450637 2607669 4056374 4901274 5215338 6084561 12169122 14197309 18253683 28394618 36507366 42591927 85183854 127775781 255551562 1610090737 3220181474 4830272211 9660544422 11270635159 14490816633 22541270318 28981633266 33811905477 67623810954 78894446113 101435716431 157788892226 202871432862 236683338339 473366676678 710050015017 1420100030034