Search a number
-
+
2014411343100 = 2235213516515729
BaseRepresentation
bin11101010100000100010…
…001011100010011111100
321010120112210022221012020
4131110010101130103330
5231001003300434400
64141224030040140
7265351663620432
oct35240421342374
97116483287166
102014411343100
117073417621a2
122864a6349050
13117c5c156820
146d6d8840d52
15375ed2b52a0
hex1d50445c4fc

2014411343100 has 72 divisors (see below), whose sum is σ = 6276699150960. Its totient is φ = 495855098880.

The previous prime is 2014411343093. The next prime is 2014411343129. The reversal of 2014411343100 is 13431144102.

It is a super-2 number, since 2×20144113431002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258253965 + ... + 258261764.

Almost surely, 22014411343100 is an apocalyptic number.

2014411343100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014411343100 is an abundant number, since it is smaller than the sum of its proper divisors (4262287807860).

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

2014411343100 is a wasteful number, since it uses less digits than its factorization.

2014411343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516515759 (or 516515752 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2014411343100 its reverse (13431144102), we get a palindrome (2027842487202).

The spelling of 2014411343100 in words is "two trillion, fourteen billion, four hundred eleven million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 516515729 1033031458 1549547187 2066062916 2582578645 3099094374 5165157290 6198188748 6714704477 7747735935 10330314580 12912893225 13429408954 15495471870 20144113431 25825786450 26858817908 30990943740 33573522385 38738679675 40288226862 51651572900 67147044770 77477359350 80576453724 100720567155 134294089540 154954718700 167867611925 201441134310 335735223850 402882268620 503602835775 671470447700 1007205671550 2014411343100