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1142048215 = 57112318699
BaseRepresentation
bin100010000010010…
…0100010111010111
32221120222001122001
41010010210113113
54314331020330
6305154020131
740205151430
oct10404442727
92846861561
101142048215
11536724800
1227a577647
131527b3899
14ab966487
156a3de9ca
hex441245d7

1142048215 has 48 divisors (see below), whose sum is σ = 1777305600. Its totient is φ = 688881600.

The previous prime is 1142048213. The next prime is 1142048227. The reversal of 1142048215 is 5128402411.

It is not a de Polignac number, because 1142048215 - 21 = 1142048213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142048213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126936 + ... + 135634.

It is an arithmetic number, because the mean of its divisors is an integer number (37027200).

Almost surely, 21142048215 is an apocalyptic number.

1142048215 is a deficient number, since it is larger than the sum of its proper divisors (635257385).

1142048215 is a wasteful number, since it uses less digits than its factorization.

1142048215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1142048215 is about 33794.2038669355. The cubic root of 1142048215 is about 1045.2691827325.

The spelling of 1142048215 in words is "one billion, one hundred forty-two million, forty-eight thousand, two hundred fifteen".

Divisors: 1 5 7 11 31 35 55 77 121 155 217 341 385 605 847 1085 1705 2387 3751 4235 8699 11935 18755 26257 43495 60893 95689 131285 269669 304465 478445 669823 1052579 1348345 1887683 2966359 3349115 5262895 7368053 9438415 14831795 20764513 32629949 36840265 103822565 163149745 228409643 1142048215