Search a number
-
+
20140410004 = 221113432137139
BaseRepresentation
bin10010110000011101…
…100100010010010100
31220222121201211120021
4102300131210102110
5312221421110004
613130302514524
71312045442341
oct226035442224
956877654507
1020140410004
1185a5811150
123aa0b95a44
131b8c7c9790
14d90bd57c8
157cd253d54
hex4b0764494

20140410004 has 144 divisors (see below), whose sum is σ = 43009565760. Its totient is φ = 8134801920.

The previous prime is 20140409999. The next prime is 20140410007. The reversal of 20140410004 is 40001404102.

It is a super-2 number, since 2×201404100042 (a number of 21 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 20140410004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140410007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144894967 + ... + 144895105.

It is an arithmetic number, because the mean of its divisors is an integer number (298677540).

Almost surely, 220140410004 is an apocalyptic number.

It is an amenable number.

20140410004 is an abundant number, since it is smaller than the sum of its proper divisors (22869155756).

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

20140410004 is a wasteful number, since it uses less digits than its factorization.

20140410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20140410004 its reverse (40001404102), we get a palindrome (60141814106).

The spelling of 20140410004 in words is "twenty billion, one hundred forty million, four hundred ten thousand, four".

Divisors: 1 2 4 11 13 22 26 43 44 52 86 137 139 143 172 274 278 286 473 548 556 559 572 946 1118 1507 1529 1781 1807 1849 1892 2236 3014 3058 3562 3614 3698 5891 5977 6028 6116 6149 7124 7228 7396 11782 11954 12298 19043 19591 19877 20339 23564 23908 24037 24596 38086 39182 39754 40678 48074 64801 65747 76172 76583 77701 78364 79508 81356 96148 129602 131494 153166 155402 209473 247559 253313 257011 259204 262988 264407 306332 310804 418946 495118 506626 514022 528814 818849 837892 842413 854711 990236 1013252 1028044 1057628 1637698 1684826 1709422 2723149 2786443 2827121 3275396 3293069 3341143 3369652 3418844 5446298 5572886 5654242 6586138 6682286 9007339 10645037 10892596 11145772 11308484 13172276 13364572 18014678 21290074 35210507 36029356 36223759 36752573 42580148 70421014 72447518 73505146 117095407 140842028 144895036 147010292 234190814 387315577 457736591 468381628 774631154 915473182 1549262308 1830946364 5035102501 10070205002 20140410004