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1157145341 = 111723269041
BaseRepresentation
bin100010011111000…
…1010001011111101
32222122101001222212
41010332022023331
54332212122331
6310453350205
740450400402
oct10476121375
92878331885
101157145341
115441a6470
12283638365
1315596b4b1
14ad9762a9
156b8c2d2b
hex44f8a2fd

1157145341 has 16 divisors (see below), whose sum is σ = 1394713728. Its totient is φ = 947020800.

The previous prime is 1157145329. The next prime is 1157145373. The reversal of 1157145341 is 1435417511.

It is not a de Polignac number, because 1157145341 - 218 = 1156883197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1157145298 and 1157145307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157141341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130220 + ... + 138821.

It is an arithmetic number, because the mean of its divisors is an integer number (87169608).

Almost surely, 21157145341 is an apocalyptic number.

1157145341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1157145341 is a deficient number, since it is larger than the sum of its proper divisors (237568387).

1157145341 is a wasteful number, since it uses less digits than its factorization.

1157145341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269092.

The product of its digits is 8400, while the sum is 32.

The square root of 1157145341 is about 34016.8390800791. The cubic root of 1157145341 is about 1049.8549583481.

The spelling of 1157145341 in words is "one billion, one hundred fifty-seven million, one hundred forty-five thousand, three hundred forty-one".

Divisors: 1 11 17 23 187 253 391 4301 269041 2959451 4573697 6187943 50310667 68067373 105195031 1157145341