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1377505042640 = 245106116228853
BaseRepresentation
bin10100000010111001101…
…100101110000011010000
311212200120200202120010222
4110002321230232003100
5140032112242331030
62532452253412212
7201343600445666
oct24027154560320
94780520676128
101377505042640
11491218759941
121a2b7779a068
139cb8a37710c
144a958c26c36
1525c733623e5
hex140b9b2e0d0

1377505042640 has 40 divisors (see below), whose sum is σ = 3205717988328. Its totient is φ = 550482659840.

The previous prime is 1377505042609. The next prime is 1377505042687. The reversal of 1377505042640 is 462405057731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4352304784 + 1373152737856 = 65972^2 + 1171816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1377505042591 and 1377505042600.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8029547 + ... + 8199306.

Almost surely, 21377505042640 is an apocalyptic number.

1377505042640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377505042640 is an abundant number, since it is smaller than the sum of its proper divisors (1828212945688).

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

1377505042640 is a wasteful number, since it uses less digits than its factorization.

1377505042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229927 (or 16229921 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 1377505042640 in words is "one trillion, three hundred seventy-seven billion, five hundred five million, forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1061 2122 4244 5305 8488 10610 16976 21220 42440 84880 16228853 32457706 64915412 81144265 129830824 162288530 259661648 324577060 649154120 1298308240 17218813033 34437626066 68875252132 86094065165 137750504264 172188130330 275501008528 344376260660 688752521320 1377505042640