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1334934961472 = 26731432235383
BaseRepresentation
bin10011011011010000010…
…100101111110101000000
311201121200220122101002002
4103123100110233311000
5133332421322231342
62501132145043132
7165305634644120
oct23332024576500
94647626571062
101334934961472
11475162a90882
121968770264a8
1398b649c8988
144887b1a4c80
1524ad0e09d32
hex136d052fd40

1334934961472 has 112 divisors (see below), whose sum is σ = 3197779402752. Its totient is φ = 540783613440.

The previous prime is 1334934961469. The next prime is 1334934961501. The reversal of 1334934961472 is 2741694394331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 520508 + ... + 1714875.

Almost surely, 21334934961472 is an apocalyptic number.

It is an amenable number.

1334934961472 is an abundant number, since it is smaller than the sum of its proper divisors (1862844441280).

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

1334934961472 is a wasteful number, since it uses less digits than its factorization.

1334934961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235476 (or 2235466 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 56.

The spelling of 1334934961472 in words is "one trillion, three hundred thirty-four billion, nine hundred thirty-four million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 64 86 112 124 172 217 224 248 301 344 434 448 496 602 688 868 992 1204 1333 1376 1736 1984 2408 2666 2752 3472 4816 5332 6944 9331 9632 10664 13888 18662 19264 21328 37324 42656 74648 85312 149296 298592 597184 2235383 4470766 8941532 15647681 17883064 31295362 35766128 62590724 69296873 71532256 96121469 125181448 138593746 143064512 192242938 250362896 277187492 384485876 485078111 500725792 554374984 672850283 768971752 970156222 1001451584 1108749968 1345700566 1537943504 1940312444 2217499936 2691401132 2979765539 3075887008 3880624888 4434999872 5382802264 5959531078 6151774016 7761249776 10765604528 11919062156 15522499552 20858358773 21531209056 23838124312 31044999104 41716717546 43062418112 47676248624 83433435092 95352497248 166866870184 190704994496 333733740368 667467480736 1334934961472