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144545633386660 = 225112376832363563
BaseRepresentation
bin100000110111011010100111…
…001000011100000010100100
3200221210102112201102011222201
4200313122213020130002210
5122421213424121333120
61231231203002104244
742306035354411302
oct4067324710340244
9627712481364881
10144545633386660
1142069505828100
1214265ab41ab084
13628679685322c
14279a090277272
1511a9e6c42d40a
hex8376a721c0a4

144545633386660 has 144 divisors (see below), whose sum is σ = 343168958155968. Its totient is φ = 51066553317120.

The previous prime is 144545633386619. The next prime is 144545633386699. The reversal of 144545633386660 is 66683336545441.

It is a super-2 number, since 2×1445456333866602 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144545633386592 and 144545633386601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59974039 + ... + 62337601.

It is an arithmetic number, because the mean of its divisors is an integer number (2383117764972).

Almost surely, 2144545633386660 is an apocalyptic number.

144545633386660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144545633386660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171584479077984).

144545633386660 is an abundant number, since it is smaller than the sum of its proper divisors (198623324769308).

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

144545633386660 is a wasteful number, since it uses less digits than its factorization.

144545633386660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364314 (or 2364301 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 64.

The spelling of 144545633386660 in words is "one hundred forty-four trillion, five hundred forty-five billion, six hundred thirty-three million, three hundred eighty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 683 740 814 1210 1366 1628 2035 2420 2732 3415 4070 4477 6830 7513 8140 8954 13660 15026 17908 22385 25271 30052 37565 44770 50542 75130 82643 89540 101084 126355 150260 165286 252710 277981 330572 413215 505420 555962 826430 1111924 1389905 1652860 2363563 2779810 3057791 4727126 5559620 6115582 9454252 11817815 12231164 15288955 23635630 25999193 30577910 47271260 51998386 61155820 87451831 103996772 129995965 174903662 259991930 285991123 349807324 437259155 519983860 571982246 874518310 961970141 1143964492 1429955615 1614313529 1749036620 1923940282 2859911230 3228627058 3847880564 4809850705 5719822460 6457254116 8071567645 9619701410 10581671551 16143135290 17757448819 19239402820 21163343102 32286270580 35514897638 42326686204 52908357755 59729600573 71029795276 88787244095 105816715510 119459201146 177574488190 195331937009 211633431020 238918402292 298648002865 355148976380 390663874018 597296005730 657025606303 781327748036 976659685045 1194592011460 1314051212606 1953319370090 2628102425212 3285128031515 3906638740180 6570256063030 7227281669333 13140512126060 14454563338666 28909126677332 36136408346665 72272816693330 144545633386660