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114561704544 = 2537858119867
BaseRepresentation
bin110101010110001101…
…0001110001001100000
3101221201000001120121020
41222230122032021200
53334110244021134
6124343502525440
711163642264420
oct1525432161140
9357630046536
10114561704544
1144649106271
121a252596880
13aa595c9471
14578ad92480
152ea7823b49
hex1aac68e260

114561704544 has 96 divisors (see below), whose sum is σ = 343742466816. Its totient is φ = 32726453760.

The previous prime is 114561704533. The next prime is 114561704557. The reversal of 114561704544 is 445407165411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1145617045443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114561704496 and 114561704505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756499 + ... + 5776365.

It is an arithmetic number, because the mean of its divisors is an integer number (3580650696).

Almost surely, 2114561704544 is an apocalyptic number.

114561704544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114561704544 is an abundant number, since it is smaller than the sum of its proper divisors (229180762272).

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

114561704544 is a wasteful number, since it uses less digits than its factorization.

114561704544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468 (or 28460 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

Adding to 114561704544 its reverse (445407165411), we get a palindrome (559968869955).

The spelling of 114561704544 in words is "one hundred fourteen billion, five hundred sixty-one million, seven hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8581 17162 19867 25743 34324 39734 51486 59601 60067 68648 79468 102972 119202 120134 137296 139069 158936 180201 205944 238404 240268 274592 278138 317872 360402 411888 417207 476808 480536 556276 635744 720804 823776 834414 953616 961072 1112552 1441608 1668828 1907232 1922144 2225104 2883216 3337656 4450208 5766432 6675312 13350624 170478727 340957454 511436181 681914908 1022872362 1193351089 1363829816 2045744724 2386702178 2727659632 3580053267 4091489448 4773404356 5455319264 7160106534 8182978896 9546808712 14320213068 16365957792 19093617424 28640426136 38187234848 57280852272 114561704544