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1377660141 = 3211213234231
BaseRepresentation
bin101001000011101…
…0110110011101101
310120000022101102200
41102013112303231
510310140111031
6344412012113
746065626604
oct12207266355
93500271380
101377660141
11647720500
12325461039
1318c559320
14d0d78a3b
1580e308e6
hex521d6ced

1377660141 has 72 divisors (see below), whose sum is σ = 2458555008. Its totient is φ = 737035200.

The previous prime is 1377660133. The next prime is 1377660149. The reversal of 1377660141 is 1410667731.

1377660141 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 6 + 601 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1377660133) and next prime (1377660149).

It is not a de Polignac number, because 1377660141 - 23 = 1377660133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1377660096 and 1377660105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377660149) 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 71 ways as a sum of consecutive naturals, for example, 323496 + ... + 327726.

Almost surely, 21377660141 is an apocalyptic number.

1377660141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1377660141 is a deficient number, since it is larger than the sum of its proper divisors (1080894867).

1377660141 is a wasteful number, since it uses less digits than its factorization.

1377660141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1377660141 is about 37116.8444375327. The cubic root of 1377660141 is about 1112.7066864394.

The spelling of 1377660141 in words is "one billion, three hundred seventy-seven million, six hundred sixty thousand, one hundred forty-one".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 121 143 207 253 299 363 429 759 897 1089 1287 1573 2277 2691 2783 3289 4231 4719 8349 9867 12693 14157 25047 29601 36179 38079 46541 55003 97313 108537 139623 165009 291939 325611 418869 495027 511951 605033 875817 1070443 1265069 1535853 1815099 3211329 3795207 4607559 5445297 6655363 9633987 11385621 11774873 13915759 19966089 35324619 41747277 59898267 105973857 125241831 153073349 459220047 1377660141