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5114141402004 = 223237563212113
BaseRepresentation
bin100101001101011101010…
…0101001110001110010100
3200002220111022022010022200
41022122322211032032110
51132242230144331004
614513223142524500
71035325122445665
oct112327245161624
920086438263280
105114141402004
1116a1993550258
126a71a3736730
132b13525910ab
141397509ab36c
158d06d1c1239
hex4a6ba94e394

5114141402004 has 108 divisors (see below), whose sum is σ = 13301524686996. Its totient is φ = 1655557691904.

The previous prime is 5114141402003. The next prime is 5114141402017. The reversal of 5114141402004 is 4002041414115.

It is a happy number.

5114141402004 is a `hidden beast` number, since 5 + 1 + 1 + 41 + 414 + 0 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3205317315600 + 1908824086404 = 1790340^2 + 1381602^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114141402003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422196652 + ... + 422208764.

Almost surely, 25114141402004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5114141402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650762343498).

5114141402004 is an abundant number, since it is smaller than the sum of its proper divisors (8187383284992).

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

5114141402004 is a wasteful number, since it uses less digits than its factorization.

5114141402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13286 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 5114141402004 its reverse (4002041414115), we get a palindrome (9116182816119).

The spelling of 5114141402004 in words is "five trillion, one hundred fourteen billion, one hundred forty-one million, four hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 563 666 1126 1332 1689 2252 3378 5067 6756 10134 12113 20268 20831 24226 36339 41662 48452 62493 72678 83324 109017 124986 145356 187479 218034 249972 316969 374958 436068 448181 633938 749916 896362 950907 1267876 1344543 1792724 1901814 2689086 2852721 3803628 4033629 5378172 5705442 6819619 8067258 11410884 11727853 13639238 16134516 20458857 23455706 27278476 35183559 40917714 46911412 61376571 70367118 81835428 105550677 122753142 140734236 211101354 245506284 252325903 422202708 504651806 756977709 1009303612 1513955418 2270933127 3027910836 3839445497 4541866254 7678890994 9083732508 11518336491 15357781988 23036672982 34555009473 46073345964 69110018946 138220037892 142059483389 284118966778 426178450167 568237933556 852356900334 1278535350501 1704713800668 2557070701002 5114141402004