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10414415127 = 329119705921
BaseRepresentation
bin10011011001011111…
…10101110100010111
3222212210120002210210
421230233311310113
5132312042241002
64441225020503
7516036032214
oct115457656427
928783502723
1010414415127
114464736256
122027924733
13c9c80811c
1470b1dab0b
1540e46c96c
hex26cbf5d17

10414415127 has 8 divisors (see below), whose sum is σ = 14364710640. Its totient is φ = 6703531520.

The previous prime is 10414415107. The next prime is 10414415159. The reversal of 10414415127 is 72151441401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10414415127 is a prime.

It is a super-2 number, since 2×104144151272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10414415094 and 10414415103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414415107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59852874 + ... + 59853047.

It is an arithmetic number, because the mean of its divisors is an integer number (1795588830).

Almost surely, 210414415127 is an apocalyptic number.

10414415127 is a deficient number, since it is larger than the sum of its proper divisors (3950295513).

10414415127 is a wasteful number, since it uses less digits than its factorization.

10414415127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119705953.

The product of its (nonzero) digits is 4480, while the sum is 30.

Adding to 10414415127 its reverse (72151441401), we get a palindrome (82565856528).

The spelling of 10414415127 in words is "ten billion, four hundred fourteen million, four hundred fifteen thousand, one hundred twenty-seven".

Divisors: 1 3 29 87 119705921 359117763 3471471709 10414415127