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144232101341240 = 235112314252183927
BaseRepresentation
bin100000110010110110100111…
…001010100110100000111000
3200220200110021010120000200012
4200302312213022212200320
5122401044320420404430
61230431151310201052
742244265633116313
oct4062664712464070
9626613233500605
10144232101341240
1141a585440a18a0
1214215192ab3188
13626304b35a873
142788c29c7197a
1511a1c1bc74695
hex832da72a6838

144232101341240 has 64 divisors (see below), whose sum is σ = 369416607413760. Its totient is φ = 50167687419520.

The previous prime is 144232101341233. The next prime is 144232101341261. The reversal of 144232101341240 is 42143101232441.

It is a junction number, because it is equal to n+sod(n) for n = 144232101341197 and 144232101341206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7126081844 + ... + 7126102083.

It is an arithmetic number, because the mean of its divisors is an integer number (5772134490840).

Almost surely, 2144232101341240 is an apocalyptic number.

144232101341240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144232101341240 is an abundant number, since it is smaller than the sum of its proper divisors (225184506072520).

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

144232101341240 is a wasteful number, since it uses less digits than its factorization.

144232101341240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252183972 (or 14252183968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144232101341240 its reverse (42143101232441), we get a palindrome (186375202573681).

The spelling of 144232101341240 in words is "one hundred forty-four trillion, two hundred thirty-two billion, one hundred one million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 14252183927 28504367854 57008735708 71260919635 114017471416 142521839270 156774023197 285043678540 313548046394 327800230321 570087357080 627096092788 655600460642 783870115985 1254192185576 1311200921284 1567740231970 1639001151605 2622401842568 3135480463940 3278002303210 3605802533531 6270960927880 6556004606420 7211605067062 13112009212840 14423210134124 18029012667655 28846420268248 36058025335310 72116050670620 144232101341240