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144344000404134 = 2335974360976733
BaseRepresentation
bin100000110100011110110100…
…110111101001101010100110
3200221002011002120101101121000
4200310132310313221222212
5122404413003100413014
61230554415055334130
742255336614344266
oct4064366467515246
9627064076341530
10144344000404134
1141aa0a46207a73
1214232a01821346
13627077212090b
1427904033577a6
1511a4aba942509
hex8347b4de9aa6

144344000404134 has 64 divisors (see below), whose sum is σ = 326640168691200. Its totient is φ = 47235503490336.

The previous prime is 144344000404063. The next prime is 144344000404141. The reversal of 144344000404134 is 431404000443441.

144344000404134 is a `hidden beast` number, since 1 + 4 + 43 + 440 + 0 + 0 + 40 + 4 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28121169 + ... + 32855564.

It is an arithmetic number, because the mean of its divisors is an integer number (5103752635800).

Almost surely, 2144344000404134 is an apocalyptic number.

144344000404134 is an abundant number, since it is smaller than the sum of its proper divisors (182296168287066).

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

144344000404134 is a wasteful number, since it uses less digits than its factorization.

144344000404134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60977546 (or 60977540 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144344000404134 its reverse (431404000443441), we get a palindrome (575748000847575).

The spelling of 144344000404134 in words is "one hundred forty-four trillion, three hundred forty-four billion, four hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 743 1062 1486 1593 2229 3186 4458 6687 13374 20061 40122 43837 87674 131511 263022 394533 789066 1183599 2367198 60976733 121953466 182930199 365860398 548790597 1097581194 1646371791 3292743582 3597627247 7195254494 10792881741 21585763482 32378645223 45305712619 64757290446 90611425238 97135935669 135917137857 194271871338 271834275714 407751413571 815502827142 1223254240713 2446508481426 2673037044521 5346074089042 8019111133563 16038222267126 24057333400689 48114666801378 72172000202067 144344000404134