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1141825815 = 345131371583
BaseRepresentation
bin100010000001110…
…1110000100010111
32221120112202120000
41010003232010113
54314301411230
6305145142343
740203234144
oct10403560427
92846482500
101141825815
115365926a9
1227a48a9b3
131527365a0
14ab9093cb
156a398b60
hex440ee117

1141825815 has 80 divisors (see below), whose sum is σ = 2221769088. Its totient is φ = 557673984.

The previous prime is 1141825747. The next prime is 1141825829. The reversal of 1141825815 is 5185281411.

It is not a de Polignac number, because 1141825815 - 210 = 1141824791 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1141825815.

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 79 ways as a sum of consecutive naturals, for example, 720514 + ... + 722096.

Almost surely, 21141825815 is an apocalyptic number.

1141825815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1141825815 is a deficient number, since it is larger than the sum of its proper divisors (1079943273).

1141825815 is a wasteful number, since it uses less digits than its factorization.

1141825815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1741 counting only the distinct ones).

The product of its digits is 12800, while the sum is 36.

The square root of 1141825815 is about 33790.9132016286. The cubic root of 1141825815 is about 1045.2013271741.

The spelling of 1141825815 in words is "one billion, one hundred forty-one million, eight hundred twenty-five thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 137 195 351 405 411 585 685 1053 1233 1583 1755 1781 2055 3699 4749 5265 5343 6165 7915 8905 11097 14247 16029 18495 20579 23745 26715 42741 48087 55485 61737 71235 80145 102895 128223 144261 185211 213705 216871 240435 308685 555633 641115 650613 721305 926055 1084355 1666899 1951839 2778165 2819323 3253065 5855517 8334495 8457969 9759195 14096615 17566551 25373907 29277585 42289845 76121721 87832755 126869535 228365163 380608605 1141825815