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20034671454441 = 3372193329239417
BaseRepresentation
bin1001000111000101011110…
…11110011010100011101001
32121221021222200220212211000
410203202233132122203221
510111222001343020231
6110335445003425213
74135312556355300
oct443425736324351
977837880825730
1020034671454441
116424724807a16
1222b6a2ab25209
13b24352423957
144d397cc83437
1524b233b696e6
hex1238af79a8e9

20034671454441 has 96 divisors (see below), whose sum is σ = 36355144464000. Its totient is φ = 10842533904384.

The previous prime is 20034671454433. The next prime is 20034671454443. The reversal of 20034671454441 is 14445417643002.

20034671454441 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 4 + 67 + 1 + 4 + 544 + 41 = 666.

It is not a de Polignac number, because 20034671454441 - 23 = 20034671454433 is a prime.

It is a super-4 number, since 4×200346714544414 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20034671454443) 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, 83561365 + ... + 83800781.

It is an arithmetic number, because the mean of its divisors is an integer number (378699421500).

Almost surely, 220034671454441 is an apocalyptic number.

20034671454441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20034671454441 is a deficient number, since it is larger than the sum of its proper divisors (16320473009559).

20034671454441 is a wasteful number, since it uses less digits than its factorization.

20034671454441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242788 (or 242775 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20034671454441 in words is "twenty trillion, thirty-four billion, six hundred seventy-one million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3329 3591 8379 9987 23303 25137 29961 63251 69909 89883 163121 189753 209727 239417 442757 489363 569259 629181 718251 1328271 1468089 1675919 1707777 2154753 3099299 3984813 4404267 4548923 5027757 6464259 9297897 11731433 11954439 13646769 15083271 27893691 31842461 35194299 40940307 45249813 83681073 95527383 105582897 122820921 222897227 286582149 316748691 668691681 797019193 859746447 2006075043 2391057579 5579134351 6018225129 7173172737 15143364667 16737403053 21519518211 39053940457 45430094001 50212209159 106003552669 117161821371 136290282003 150636627477 318010658007 351485464113 408870846009 742024868683 954031974021 1054456392339 2226074606049 2862095922063 6678223818147 20034671454441