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1377514004104 = 237231311227049
BaseRepresentation
bin10100000010111010001…
…110111001111010001000
311212200121022121211222001
4110002322032321322020
5140032122041112404
62532453213440344
7201344036561500
oct24027216717210
94780538554861
101377514004104
1149122281a807
121a2b7a7a00b4
139cb8c194064
144a95a0baa00
1525c740327a4
hex140ba3b9e88

1377514004104 has 48 divisors (see below), whose sum is σ = 3014126113500. Its totient is φ = 588476947968.

The previous prime is 1377514004101. The next prime is 1377514004107. The reversal of 1377514004104 is 4014004157731.

It is an interprime number because it is at equal distance from previous prime (1377514004101) and next prime (1377514004107).

It can be written as a sum of positive squares in 2 ways, for example, as 1124808724900 + 252705279204 = 1060570^2 + 502698^2 .

It is not an unprimeable number, because it can be changed into a prime (1377514004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5490829 + ... + 5736220.

Almost surely, 21377514004104 is an apocalyptic number.

1377514004104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1377514004104 is an abundant number, since it is smaller than the sum of its proper divisors (1636612109396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377514004104 is a wasteful number, since it uses less digits than its factorization.

1377514004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227382 (or 11227371 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 1377514004104 in words is "one trillion, three hundred seventy-seven billion, five hundred fourteen million, four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 313 392 626 1252 2191 2504 4382 8764 15337 17528 30674 61348 122696 11227049 22454098 44908196 78589343 89816392 157178686 314357372 550125401 628714744 1100250802 2200501604 3514066337 4401003208 7028132674 14056265348 24598464359 28112530696 49196928718 98393857436 172189250513 196787714872 344378501026 688757002052 1377514004104