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1387011723840 = 263254167199881
BaseRepresentation
bin10100001011110000010…
…101110101001001000000
311220121010020021000002200
4110023300111311021000
5140211100000130330
62541103454513200
7202131305061501
oct24136025651100
94817106230080
101387011723840
11495256a60166
121a498b505800
13a0a43aab572
144b1bb652ba8
152612cc76a60
hex142f0575240

1387011723840 has 672 divisors, whose sum is σ = 4990626950400. Its totient is φ = 353275084800.

The previous prime is 1387011723791. The next prime is 1387011723847. The reversal of 1387011723840 is 483271107831.

1387011723840 is a `hidden beast` number, since 1 + 38 + 70 + 1 + 172 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1387011723847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1574360200 + ... + 1574361080.

It is an arithmetic number, because the mean of its divisors is an integer number (7426528200).

Almost surely, 21387011723840 is an apocalyptic number.

1387011723840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387011723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495313475200).

1387011723840 is an abundant number, since it is smaller than the sum of its proper divisors (3603615226560).

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

1387011723840 is a wasteful number, since it uses less digits than its factorization.

1387011723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1387011723840 in words is "one trillion, three hundred eighty-seven billion, eleven million, seven hundred twenty-three thousand, eight hundred forty".