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1030345541415 = 325376110144691
BaseRepresentation
bin11101111111001010110…
…00010100011100100111
310122111111112220122120100
432333211120110130213
5113340121424311130
62105200104435143
7134303631412161
oct16774530243447
93574445818510
101030345541415
11367a70219343
12147830778ab3
13762131155c8
1437c2471b931
151bc05897c60
hexefe5614727

1030345541415 has 48 divisors (see below), whose sum is σ = 1864269759456. Its totient is φ = 525900729600.

The previous prime is 1030345541383. The next prime is 1030345541431. The reversal of 1030345541415 is 5141455430301.

1030345541415 is a `hidden beast` number, since 1 + 0 + 30 + 3 + 45 + 541 + 41 + 5 = 666.

It is not a de Polignac number, because 1030345541415 - 25 = 1030345541383 is a prime.

It is a super-2 number, since 2×10303455414152 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1030345541415.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4970781 + ... + 5173910.

It is an arithmetic number, because the mean of its divisors is an integer number (38838953322).

Almost surely, 21030345541415 is an apocalyptic number.

1030345541415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1030345541415 is a deficient number, since it is larger than the sum of its proper divisors (833924218041).

1030345541415 is a wasteful number, since it uses less digits than its factorization.

1030345541415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144800 (or 10144797 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1030345541415 in words is "one trillion, thirty billion, three hundred forty-five million, five hundred forty-one thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 37 45 61 111 183 185 305 333 549 555 915 1665 2257 2745 6771 11285 20313 33855 101565 10144691 30434073 50723455 91302219 152170365 375353567 456511095 618826151 1126060701 1856478453 1876767835 3094130755 3378182103 5569435359 5630303505 9282392265 16890910515 22896567587 27847176795 68689702761 114482837935 206069108283 343448513805 1030345541415