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144314441010134 = 217311674903167221
BaseRepresentation
bin100000110100000011010010…
…111111100000101111010110
3200220222022210112011121000122
4200310003102333200233112
5122403421433344311014
61230533050003111542
742253242244551113
oct4064032277405726
9626868715147018
10144314441010134
1141a8a45775382a
12142291323725b2
13626aa41116735
14278cbdb64390a
1511a3e3a84d58e
hex8340d2fe0bd6

144314441010134 has 64 divisors (see below), whose sum is σ = 238065736753152. Its totient is φ = 65314687219200.

The previous prime is 144314441010007. The next prime is 144314441010161. The reversal of 144314441010134 is 431010144413441.

It is a junction number, because it is equal to n+sod(n) for n = 144314441010094 and 144314441010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862932644 + ... + 863099864.

It is an arithmetic number, because the mean of its divisors is an integer number (3719777136768).

Almost surely, 2144314441010134 is an apocalyptic number.

144314441010134 is a deficient number, since it is larger than the sum of its proper divisors (93751295743018).

144314441010134 is a wasteful number, since it uses less digits than its factorization.

144314441010134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172341.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 144314441010134 its reverse (431010144413441), we get a palindrome (575324585423575).

The spelling of 144314441010134 in words is "one hundred forty-four trillion, three hundred fourteen billion, four hundred forty-one million, ten thousand, one hundred thirty-four".

Divisors: 1 2 17 31 34 62 167 334 527 1054 2839 4903 5177 5678 9806 10354 83351 88009 151993 166702 167221 176018 303986 334442 818801 1637602 2583881 2842757 5167762 5183851 5685514 10367702 13919617 25382831 27839234 27925907 50765662 55851814 88125467 176250934 431508127 474740419 819884563 863016254 865703117 949480838 1639769126 1731406234 13938037571 14716952989 25416421453 27876075142 29433905978 50832842906 136920722021 273841444042 432079164701 864158329402 2327652274357 4244542382651 4655304548714 8489084765302 72157220505067 144314441010134