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414030142052512 = 25312180319142737
BaseRepresentation
bin101111000100011101110011…
…1100010110001100010100000
32000021221220011110202222200121
41132020323213202301202200
5413231432212331140022
64024322453234530024
7153131455613451136
oct13610734742614240
92007856143688617
10414030142052512
1110aa17219499487
123a529994a36914
1314a03b4b11241b
147435246d3b756
1532ced1a3652c7
hex1788ee78b18a0

414030142052512 has 48 divisors (see below), whose sum is σ = 841454730853632. Its totient is φ = 200327966530560.

The previous prime is 414030142052491. The next prime is 414030142052533. The reversal of 414030142052512 is 215250241030414.

It is an interprime number because it is at equal distance from previous prime (414030142052491) and next prime (414030142052533).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12057208 + ... + 31199944.

It is an arithmetic number, because the mean of its divisors is an integer number (17530306892784).

Almost surely, 2414030142052512 is an apocalyptic number.

It is an amenable number.

414030142052512 is an abundant number, since it is smaller than the sum of its proper divisors (427424588801120).

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

414030142052512 is a wasteful number, since it uses less digits than its factorization.

414030142052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19164581 (or 19164573 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 414030142052512 its reverse (215250241030414), we get a palindrome (629280383082926).

The spelling of 414030142052512 in words is "four hundred fourteen trillion, thirty billion, one hundred forty-two million, fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 21803 43606 87212 174424 348848 675893 697696 1351786 2703572 5407144 10814288 19142737 21628576 38285474 76570948 153141896 306283792 593424847 612567584 1186849694 2373699388 4747398776 9494797552 18989595104 417369094811 834738189622 1669476379244 3338952758488 6677905516976 12938441939141 13355811033952 25876883878282 51753767756564 103507535513128 207015071026256 414030142052512