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1414261256544 = 253219298912213
BaseRepresentation
bin10100100101001000100…
…010100011000101100000
312000012110022001200122200
4110211020202203011200
5141132401340202134
63001411434533200
7204114466222323
oct24451042430540
95005408050580
101414261256544
114a586a678424
121aa115297200
13a3497399c06
144c64468c7ba
1526bc519c499
hex149488a3160

1414261256544 has 144 divisors (see below), whose sum is σ = 4379461959600. Its totient is φ = 431208465408.

The previous prime is 1414261256491. The next prime is 1414261256587. The reversal of 1414261256544 is 4456521624141.

1414261256544 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 6 + 1 + 2 + 565 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14142612565442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1414261256544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297419 + ... + 4614794.

It is an arithmetic number, because the mean of its divisors is an integer number (30412930275).

Almost surely, 21414261256544 is an apocalyptic number.

It is an amenable number.

1414261256544 is an abundant number, since it is smaller than the sum of its proper divisors (2965200703056).

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

1414261256544 is a wasteful number, since it uses less digits than its factorization.

1414261256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912277 (or 8912266 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 1414261256544 in words is "one trillion, four hundred fourteen billion, two hundred sixty-one million, two hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 228 232 261 288 304 342 348 456 464 522 551 608 684 696 912 928 1044 1102 1368 1392 1653 1824 2088 2204 2736 2784 3306 4176 4408 4959 5472 6612 8352 8816 9918 13224 17632 19836 26448 39672 52896 79344 158688 8912213 17824426 26736639 35648852 53473278 71297704 80209917 106946556 142595408 160419834 169332047 213893112 258454177 285190816 320839668 338664094 427786224 507996141 516908354 641679336 677328188 775362531 855572448 1015992282 1033816708 1283358672 1354656376 1523988423 1550725062 2031984564 2067633416 2326087593 2566717344 2709312752 3047976846 3101450124 4063969128 4135266832 4652175186 4910629363 5418625504 6095953692 6202900248 8127938256 8270533664 9304350372 9821258726 12191907384 12405800496 14731888089 16255876512 18608700744 19642517452 24383814768 24811600992 29463776178 37217401488 39285034904 44195664267 48767629536 58927552356 74434802976 78570069808 88391328534 117855104712 157140139616 176782657068 235710209424 353565314136 471420418848 707130628272 1414261256544