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420411024342414 = 232730710868389027
BaseRepresentation
bin101111110010111001001000…
…1110000111111110110001110
32001010112220100010112121112200
41133211302101300333312032
5420101003234212424124
64050050054111142330
7154360460046144240
oct13745622160776616
92033486303477480
10420411024342414
11111a5735016a716
123b19a5815149a6
131507778813b251
1475b6005c74090
153390cc7659bc9
hex17e5c91c3fd8e

420411024342414 has 48 divisors (see below), whose sum is σ = 1044408712034688. Its totient is φ = 119726173510416.

The previous prime is 420411024342373. The next prime is 420411024342457. The reversal of 420411024342414 is 414243420114024.

420411024342414 is a `hidden beast` number, since 4 + 20 + 41 + 102 + 43 + 42 + 414 = 666.

It is a super-2 number, since 2×4204110243424142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5434155832 + ... + 5434233195.

It is an arithmetic number, because the mean of its divisors is an integer number (21758514834056).

Almost surely, 2420411024342414 is an apocalyptic number.

420411024342414 is an abundant number, since it is smaller than the sum of its proper divisors (623997687692274).

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

420411024342414 is a wasteful number, since it uses less digits than its factorization.

420411024342414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868389349 (or 10868389346 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 420411024342414 its reverse (414243420114024), we get a palindrome (834654444456438).

The spelling of 420411024342414 in words is "four hundred twenty trillion, four hundred eleven billion, twenty-four million, three hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1842 2149 2763 4298 5526 6447 12894 19341 38682 10868389027 21736778054 32605167081 65210334162 76078723189 97815501243 152157446378 195631002486 228236169567 456472339134 684708508701 1369417017402 3336595431289 6673190862578 10009786293867 20019572587734 23356168019023 30029358881601 46712336038046 60058717763202 70068504057069 140137008114138 210205512171207 420411024342414