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1405136355645 = 3511101224337591
BaseRepresentation
bin10100011100101000101…
…001110100000100111101
311222022220100221200211010
4110130220221310010331
5141010204401340040
62553302152345433
7203342405645601
oct24345051640475
94868810850733
101405136355645
114a1a07928310
121a83a93a5279
13a2671a98079
144c01a843501
152683e04ce80
hex14728a7413d

1405136355645 has 64 divisors (see below), whose sum is σ = 2478055016448. Its totient is φ = 674214240000.

The previous prime is 1405136355641. The next prime is 1405136355691. The reversal of 1405136355645 is 5465536315041.

It is not a de Polignac number, because 1405136355645 - 22 = 1405136355641 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1405136355594 and 1405136355603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405136355641) 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 63 ways as a sum of consecutive naturals, for example, 37360800 + ... + 37398390.

It is an arithmetic number, because the mean of its divisors is an integer number (38719609632).

Almost surely, 21405136355645 is an apocalyptic number.

1405136355645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1405136355645 is a deficient number, since it is larger than the sum of its proper divisors (1072918660803).

1405136355645 is a wasteful number, since it uses less digits than its factorization.

1405136355645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39954.

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 1405136355645 in words is "one trillion, four hundred five billion, one hundred thirty-six million, three hundred fifty-five thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 101 165 303 505 1111 1515 2243 3333 5555 6729 11215 16665 24673 33645 37591 74019 112773 123365 187955 226543 370095 413501 563865 679629 1132715 1240503 2067505 2491973 3398145 3796691 6202515 7475919 11390073 12459865 18983455 37379595 41763601 56950365 84316613 125290803 208818005 252949839 421583065 626454015 927482743 1264749195 2782448229 4637413715 8515977913 13912241145 25547933739 42579889565 93675757043 127739668695 281027271129 468378785215 1405136355645