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144221200324020 = 223251747131111217
BaseRepresentation
bin100000110010101100011101…
…011010100001010110110100
3200220122102010102100222021200
4200302230131122201112310
5122400410004240332040
61230422145455412500
742243431535031101
oct4062543532412664
9626572112328250
10144221200324020
1141a5395a820256
1214213050224130
136262001aaba11
1427884b41a9aa8
1511a17cec38630
hex832b1d6a15b4

144221200324020 has 72 divisors (see below), whose sum is σ = 463204561050504. Its totient is φ = 36196693413888.

The previous prime is 144221200323989. The next prime is 144221200324049. The reversal of 144221200324020 is 20423002122441.

It is a happy number.

144221200324020 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 21 + 200 + 32 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22870795004964 + 121350405319056 = 4782342^2 + 11015916^2 .

It is a super-2 number, since 2×1442212003240202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23565552549 + ... + 23565558668.

It is an arithmetic number, because the mean of its divisors is an integer number (6433396681257).

Almost surely, 2144221200324020 is an apocalyptic number.

144221200324020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144221200324020 is an abundant number, since it is smaller than the sum of its proper divisors (318983360726484).

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

144221200324020 is a wasteful number, since it uses less digits than its factorization.

144221200324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47131111249 (or 47131111244 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144221200324020 its reverse (20423002122441), we get a palindrome (164644202446461).

The spelling of 144221200324020 in words is "one hundred forty-four trillion, two hundred twenty-one billion, two hundred million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 47131111217 94262222434 141393333651 188524444868 235655556085 282786667302 424180000953 471311112170 565573334604 706966668255 801228890689 848360001906 942622224340 1413933336510 1602457781378 1696720003812 2120900004765 2403686672067 2827866673020 3204915562756 4006144453445 4241800009530 4807373344134 7211060016201 8012288906890 8483600019060 9614746688268 12018433360335 14422120032402 16024577813780 24036866720670 28844240064804 36055300081005 48073733441340 72110600162010 144221200324020