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1052140033315 = 571728331319963
BaseRepresentation
bin11110100111110000110…
…11101101010100100011
310201120202110002112221001
433103320123231110203
5114214240322031230
62123202500212431
7136005003502660
oct17237033552443
93646673075831
101052140033315
1137623468a718
1214bab369a117
13782a7502167
1438cd1084a67
151c57de300ca
hexf4f86ed523

1052140033315 has 64 divisors (see below), whose sum is σ = 1538187549696. Its totient is φ = 674433257472.

The previous prime is 1052140033309. The next prime is 1052140033319. The reversal of 1052140033315 is 5133300412501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1052140033315 - 27 = 1052140033187 is a prime.

It is a super-2 number, since 2×10521400333152 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052140033319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52694524 + ... + 52714486.

It is an arithmetic number, because the mean of its divisors is an integer number (24034180464).

Almost surely, 21052140033315 is an apocalyptic number.

1052140033315 is a deficient number, since it is larger than the sum of its proper divisors (486047516381).

1052140033315 is a wasteful number, since it uses less digits than its factorization.

1052140033315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20588.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1052140033315 its reverse (5133300412501), we get a palindrome (6185440445816).

It can be divided in two parts, 10521400 and 33315, that added together give a triangular number (10554715 = T4594).

The spelling of 1052140033315 in words is "one trillion, fifty-two billion, one hundred forty million, thirty-three thousand, three hundred fifteen".

Divisors: 1 5 7 17 35 85 119 283 313 595 1415 1565 1981 2191 4811 5321 9905 10955 19963 24055 26605 33677 37247 88579 99815 139741 168385 186235 339371 442895 620053 698705 1505843 1696855 2375597 3100265 5649529 6248419 7529215 10540901 11877985 28247645 31242095 39546703 43738933 52704505 96041993 106223123 197733515 218694665 480209965 531115615 672293951 743561861 1768302577 3361469755 3717809305 8841512885 12378118039 30061143809 61890590195 150305719045 210428006663 1052140033315