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144506664052464 = 24371313283048529
BaseRepresentation
bin100000110110110110010100…
…011000001110011011110000
3200221122200221212201220011210
4200312312110120032123300
5122420044121444134324
61231201240042040120
742303155563502130
oct4066662430163360
9627580855656153
10144506664052464
1142053a2863858a
121425a4394a9040
136282bc6186bbc
14279823491aac0
1511a8e3b183d29
hex836d9460e6f0

144506664052464 has 80 divisors (see below), whose sum is σ = 429895506712320. Its totient is φ = 40972445629440.

The previous prime is 144506664052463. The next prime is 144506664052507. The reversal of 144506664052464 is 464250466605441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144506664052463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1641480249 + ... + 1641568280.

It is an arithmetic number, because the mean of its divisors is an integer number (5373693833904).

Almost surely, 2144506664052464 is an apocalyptic number.

144506664052464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144506664052464 is an abundant number, since it is smaller than the sum of its proper divisors (285388842659856).

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

144506664052464 is a wasteful number, since it uses less digits than its factorization.

144506664052464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283048678 (or 3283048672 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 57.

The spelling of 144506664052464 in words is "one hundred forty-four trillion, five hundred six billion, six hundred sixty-four million, fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 3283048529 6566097058 9849145587 13132194116 19698291174 22981339703 26264388232 39396582348 45962679406 52528776464 68944019109 78793164696 91925358812 137888038218 157586329392 183850717624 275776076436 367701435248 430079357299 551552152872 860158714598 1103104305744 1290238071897 1720317429196 2580476143794 3010555501093 3440634858392 5160952287588 6021111002186 6881269716784 9031666503279 10321904575176 12042222004372 18063333006558 20643809150352 24084444008744 36126666013116 48168888017488 72253332026232 144506664052464