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123111141332440 = 23537239661952583
BaseRepresentation
bin11011111111100000001011…
…110110001101010111011000
3121010220022101010001222112111
4123333200023312031113120
5112114023104140114230
61113500251052522104
734634325564162442
oct3377401366152730
9533808333058474
10123111141332440
1136255161865a48
1211983920180334
13539043ba495c1
14225887a967492
15e3760b28e92a
hex6ff80bd8d5d8

123111141332440 has 128 divisors (see below), whose sum is σ = 285725470464000. Its totient is φ = 47704934527488.

The previous prime is 123111141332371. The next prime is 123111141332497. The reversal of 123111141332440 is 44233141111321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2341246389 + ... + 2341298971.

It is an arithmetic number, because the mean of its divisors is an integer number (2232230238000).

Almost surely, 2123111141332440 is an apocalyptic number.

123111141332440 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 123111141332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142862735232000).

123111141332440 is an abundant number, since it is smaller than the sum of its proper divisors (162614329131560).

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

123111141332440 is a wasteful number, since it uses less digits than its factorization.

123111141332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59489 (or 59485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 123111141332440 its reverse (44233141111321), we get a palindrome (167344282443761).

The spelling of 123111141332440 in words is "one hundred twenty-three trillion, one hundred eleven billion, one hundred forty-one million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 239 296 370 478 740 956 1195 1480 1912 2390 4780 6619 8843 9560 13238 17686 26476 33095 35372 44215 52583 52952 66190 70744 88430 105166 132380 176860 210332 244903 262915 264760 353720 420664 489806 525830 979612 1051660 1224515 1581941 1945571 1959224 2103320 2449030 3163882 3891142 4898060 6327764 7782284 7909705 9727855 9796120 12567337 12655528 15564568 15819410 19455710 25134674 31638820 38911420 50269348 58531817 62836685 63277640 77822840 100538696 117063634 125673370 234127268 251346740 292659085 348046877 464991469 468254536 502693480 585318170 696093754 929982938 1170636340 1392187508 1740234385 1859965876 2324957345 2341272680 2784375016 3480468770 3719931752 4649914690 6960937540 9299829380 12877734449 13921875080 18599658760 25755468898 51510937796 64388672245 83183203603 103021875592 128777344490 166366407206 257554688980 332732814412 415916018015 515109377960 665465628824 831832036030 1663664072060 3077778533311 3327328144120 6155557066622 12311114133244 15388892666555 24622228266488 30777785333110 61555570666220 123111141332440