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1142869005 = 325113317709
BaseRepresentation
bin100010000011110…
…1100110000001101
32221122111202112200
41010013230300031
54320033302010
6305223352113
740215140415
oct10407546015
92848452480
101142869005
11537135443
1227a8b2639
13152a10365
14abadb645
156a502cc0
hex441ecc0d

1142869005 has 48 divisors (see below), whose sum is σ = 2007635760. Its totient is φ = 601380864.

The previous prime is 1142868949. The next prime is 1142869069. The reversal of 1142869005 is 5009682411.

It can be written as a sum of positive squares in 8 ways, for example, as 674492841 + 468376164 = 25971^2 + 21642^2 .

It is not a de Polignac number, because 1142869005 - 26 = 1142868941 is a prime.

It is a super-2 number, since 2×11428690052 = 2612299125179380050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1611591 + ... + 1612299.

It is an arithmetic number, because the mean of its divisors is an integer number (41825745).

Almost surely, 21142869005 is an apocalyptic number.

1142869005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1142869005 is a deficient number, since it is larger than the sum of its proper divisors (864766755).

1142869005 is a wasteful number, since it uses less digits than its factorization.

1142869005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1142869005 is about 33806.3456321443. The cubic root of 1142869005 is about 1045.5195344042.

The spelling of 1142869005 in words is "one billion, one hundred forty-two million, eight hundred sixty-nine thousand, five".

Divisors: 1 3 5 9 15 45 113 317 339 565 709 951 1017 1585 1695 2127 2853 3545 4755 5085 6381 10635 14265 31905 35821 80117 107463 179105 224753 240351 322389 400585 537315 674259 721053 1123765 1201755 1611945 2022777 3371295 3605265 10113885 25397089 76191267 126985445 228573801 380956335 1142869005