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114404400011223 = 32719272477350767
BaseRepresentation
bin11010000000110011011001…
…100111111001011111010111
3120000001221202100012120201200
4122000303121213321133113
5104443400202400324343
61043152353353323543
733045305453100030
oct3200633147713727
9500057670176650
10114404400011223
11334a86a7320773
12109b840a1065b3
134bab39a17335a
1420372b9961a87
15d35dc35034d3
hex680cd99f97d7

114404400011223 has 48 divisors (see below), whose sum is σ = 198799251256320. Its totient is φ = 61932805167168.

The previous prime is 114404400011207. The next prime is 114404400011281. The reversal of 114404400011223 is 322110004404411.

114404400011223 is a `hidden beast` number, since 1 + 144 + 0 + 4 + 400 + 0 + 112 + 2 + 3 = 666.

It is not a de Polignac number, because 114404400011223 - 24 = 114404400011207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114404400011423) 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, 325979586 + ... + 326330352.

It is an arithmetic number, because the mean of its divisors is an integer number (4141651067840).

Almost surely, 2114404400011223 is an apocalyptic number.

114404400011223 is a deficient number, since it is larger than the sum of its proper divisors (84394851245097).

114404400011223 is a wasteful number, since it uses less digits than its factorization.

114404400011223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623276 (or 623273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114404400011223 its reverse (322110004404411), we get a palindrome (436514404415634).

The spelling of 114404400011223 in words is "one hundred fourteen trillion, four hundred four billion, four hundred million, eleven thousand, two hundred twenty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 272477 350767 817431 1052301 1907339 2452293 2455369 3156903 5177063 5722017 6664573 7366107 15531189 17166051 19993719 22098321 36239441 46593567 46652011 59981157 108718323 139956033 326154969 419868099 95575939859 286727819577 669031579013 860183458731 1815942857321 2007094737039 5447828571963 6021284211117 12711600001247 16343485715889 38134800003741 114404400011223