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4141332103320 = 2332567577170231
BaseRepresentation
bin111100010000111010101…
…000010000000010011000
3112122220111112222102220100
4330100322220100002120
51020322422004301240
612450300211255400
7605126033031426
oct74207250200230
915586445872810
104141332103320
11135736900a745
1256a74b8aa560
132406ab655b39
14104627848116
1572ad3b0de30
hex3c43aa10098

4141332103320 has 96 divisors (see below), whose sum is σ = 13459607572320. Its totient is φ = 1104332398080.

The previous prime is 4141332103319. The next prime is 4141332103327. The reversal of 4141332103320 is 233012331414.

It is a happy number.

4141332103320 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 321 + 0 + 332 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141332103327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24242605 + ... + 24412835.

It is an arithmetic number, because the mean of its divisors is an integer number (140204245545).

Almost surely, 24141332103320 is an apocalyptic number.

4141332103320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141332103320 is an abundant number, since it is smaller than the sum of its proper divisors (9318275469000).

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

4141332103320 is a wasteful number, since it uses less digits than its factorization.

4141332103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237825 (or 237818 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4141332103320 its reverse (233012331414), we get a palindrome (4374344434734).

The spelling of 4141332103320 in words is "four trillion, one hundred forty-one billion, three hundred thirty-two million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 67577 135154 170231 202731 270308 337885 340462 405462 510693 540616 608193 675770 680924 810924 851155 1013655 1021386 1216386 1351540 1361848 1532079 1621848 1702310 2027310 2042772 2432772 2553465 2703080 3040965 3064158 3404620 4054620 4085544 4865544 5106930 6081930 6128316 6809240 7660395 8109240 10213860 12163860 12256632 15320790 20427720 24327720 30641580 61283160 11503700287 23007400574 34511100861 46014801148 57518501435 69022201722 92029602296 103533302583 115037002870 138044403444 172555504305 207066605166 230074005740 276088806888 345111008610 414133210332 460148011480 517666512915 690222017220 828266420664 1035333025830 1380444034440 2070666051660 4141332103320