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139226743161 = 3411237692
BaseRepresentation
bin1000000110101010001…
…1111000000101111001
3111022100221200100210000
42001222203320011321
54240114021240121
6143543200143213
713026111535122
oct2015243700571
9438327610700
10139226743161
1154055959900
1222b96907b09
131018a61387c
146a4aa65049
15394cdcd526
hex206a8f8179

139226743161 has 45 divisors (see below), whose sum is σ = 228667545183. Its totient is φ = 84357456480.

The previous prime is 139226743151. The next prime is 139226743171. The reversal of 139226743161 is 161347622931.

The square root of 139226743161 is 373131.

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

139226743161 is a `hidden beast` number, since 1 + 392 + 2 + 67 + 43 + 161 = 666.

It is an interprime number because it is at equal distance from previous prime (139226743151) and next prime (139226743171).

It can be written as a sum of positive squares in only one way, i.e., 115375029561 + 23851713600 = 339669^2 + 154440^2 .

It is not a de Polignac number, because 139226743161 - 211 = 139226741113 is a prime.

It is a super-2 number, since 2×1392267431612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139226743121) 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 44 ways as a sum of consecutive naturals, for example, 36938085 + ... + 36941853.

Almost surely, 2139226743161 is an apocalyptic number.

139226743161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

139226743161 is the 373131-st square number.

139226743161 is the 186566-th centered octagonal number.

It is an amenable number.

139226743161 is a deficient number, since it is larger than the sum of its proper divisors (89440802022).

139226743161 is an frugal number, since it uses more digits than its factorization.

139226743161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 3783 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 139226743161 in words is "one hundred thirty-nine billion, two hundred twenty-six million, seven hundred forty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 3769 9801 11307 33921 41459 101763 124377 305289 373131 456049 1119393 1368147 3358179 4104441 12313323 14205361 36939969 42616083 127848249 156258971 383544747 468776913 1150634241 1406330739 1718848681 4218992217 5156546043 12656976651 15469638129 46408914387 139226743161