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144366905417284 = 221125461492
BaseRepresentation
bin100000110100110100001010…
…000111010101111001000100
3200221011100012212012121201101
4200310310022013111321010
5122410301410241323114
61231013124001305444
742260110332631264
oct4064641207257104
9627140185177641
10144366905417284
1141aaa72a51a400
1214237334635284
136272982603034
14279157739b7a4
1511a54ab73cd74
hex834d0a1d5e44

144366905417284 has 27 divisors (see below), whose sum is σ = 277698006282781. Its totient is φ = 65621200491440.

The previous prime is 144366905417243. The next prime is 144366905417299. The reversal of 144366905417284 is 482714509663441.

The square root of 144366905417284 is 12015278.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113801487457284 + 30565417960000 = 10667778^2 + 5528600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264063042 + ... + 264609190.

It is a 1-persistent number, because it is pandigital, but 2⋅144366905417284 = 288733810834568 is not.

Almost surely, 2144366905417284 is an apocalyptic number.

144366905417284 is the 12015278-th square number.

It is an amenable number.

144366905417284 is a deficient number, since it is larger than the sum of its proper divisors (133331100865497).

144366905417284 is an frugal number, since it uses more digits than its factorization.

144366905417284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092324 (or 546162 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 144366905417284 in words is "one hundred forty-four trillion, three hundred sixty-six billion, nine hundred five million, four hundred seventeen thousand, two hundred eighty-four".

Divisors: 1 2 4 11 22 44 121 242 484 546149 1092298 2184596 6007639 12015278 24030556 66084029 132168058 264336116 298278730201 596557460402 1193114920804 3281066032211 6562132064422 13124264128844 36091726354321 72183452708642 144366905417284