Search a number
-
+
1413763130241 = 3271117401299261
BaseRepresentation
bin10100100100101010110…
…110010110001110000001
312000011011120202020211100
4110210222312112032001
5141130341330131431
63001250202205013
7204066240221130
oct24445266261601
95004146666740
101413763130241
114a56344807a0
121a9bb64b3769
13a341811c917
144c5d8463917
1526b965a44e6
hex1492ad96381

1413763130241 has 96 divisors (see below), whose sum is σ = 2702493870336. Its totient is φ = 689495040000.

The previous prime is 1413763130203. The next prime is 1413763130293. The reversal of 1413763130241 is 1420313673141.

1413763130241 is a `hidden beast` number, since 1 + 4 + 13 + 7 + 631 + 3 + 0 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 1413763130241 - 222 = 1413758935937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1413763130196 and 1413763130205.

It is not an unprimeable number, because it can be changed into a prime (1413763130041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4574551 + ... + 4873811.

It is an arithmetic number, because the mean of its divisors is an integer number (28150977816).

Almost surely, 21413763130241 is an apocalyptic number.

1413763130241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1413763130241 is a deficient number, since it is larger than the sum of its proper divisors (1288730740095).

1413763130241 is a wasteful number, since it uses less digits than its factorization.

1413763130241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299703 (or 299700 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1413763130241 in words is "one trillion, four hundred thirteen billion, seven hundred sixty-three million, one hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 401 561 693 1071 1203 1309 1683 2807 3609 3927 4411 6817 8421 11781 13233 20451 25263 30877 39699 47719 61353 74987 92631 143157 224961 277893 299261 429471 524909 674883 897783 1574727 2094827 2693349 3291871 4724181 5087437 6284481 9875613 15262311 18853443 23043097 29626839 35612059 45786933 55961807 69129291 106836177 120003661 167885421 207387873 320508531 360010983 391732649 503656263 840025627 1080032949 1175197947 1320040271 2040062237 2520076881 3525593841 3960120813 6120186711 7560230643 9240281897 11880362439 14280435659 18360560133 22440684607 27720845691 42841306977 67322053821 83162537073 128523920931 157084792249 201966161463 471254376747 1413763130241