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1142929908241 = 11217257172
BaseRepresentation
bin10000101000011011111…
…011100110001000010001
311001021002202021001202021
4100220123323212020101
5122211210024030431
62233015454251441
7145400603632612
oct20503373461021
94037082231667
101142929908241
11400794156500
12165610ab6b81
1383a15b70844
143d464c33c09
151eae47d3b11
hex10a1bee6211

1142929908241 has 27 divisors (see below), whose sum is σ = 1334757509617. Its totient is φ = 977736890240.

The previous prime is 1142929908229. The next prime is 1142929908259. The reversal of 1142929908241 is 1428099292411.

The square root of 1142929908241 is 1069079.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156285018241 + 986644890000 = 395329^2 + 993300^2 .

It is not a de Polignac number, because 1142929908241 - 217 = 1142929777169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1142929909241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199914915 + ... + 199920631.

Almost surely, 21142929908241 is an apocalyptic number.

1142929908241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1142929908241 is the 1069079-th square number.

1142929908241 is the 534540-th centered octagonal number.

It is an amenable number.

1142929908241 is a deficient number, since it is larger than the sum of its proper divisors (191827601376).

1142929908241 is an frugal number, since it uses more digits than its factorization.

1142929908241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 1142929908241 in words is "one trillion, one hundred forty-two billion, nine hundred twenty-nine million, nine hundred eight thousand, two hundred forty-one".

Divisors: 1 11 17 121 187 289 2057 3179 5717 34969 62887 97189 691757 1069079 1652213 11759869 18174343 32684089 199917773 359524979 555629513 3954774769 6111924643 9445701721 67231171073 103902718931 1142929908241