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12431444150040 = 2335732012970501
BaseRepresentation
bin1011010011100110101111…
…0100000000011100011000
31122000102201201100210120220
42310321223310000130120
53112134044200300130
642234532051320040
72422066526536236
oct264715364003430
948012651323526
1012431444150040
113a63167154563
1214893695b0020
136c238465c266
1430d983d11956
15168585109410
hexb4e6bd00718

12431444150040 has 128 divisors (see below), whose sum is σ = 37807628126400. Its totient is φ = 3269431296000.

The previous prime is 12431444150003. The next prime is 12431444150063. The reversal of 12431444150040 is 4005144413421.

It is a junction number, because it is equal to n+sod(n) for n = 12431444149983 and 12431444150010.

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, 176294790 + ... + 176365290.

Almost surely, 212431444150040 is an apocalyptic number.

12431444150040 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 12431444150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903814063200).

12431444150040 is an abundant number, since it is smaller than the sum of its proper divisors (25376183976360).

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

12431444150040 is a wasteful number, since it uses less digits than its factorization.

12431444150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90717 (or 90713 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 12431444150040 its reverse (4005144413421), we get a palindrome (16436588563461).

The spelling of 12431444150040 in words is "twelve trillion, four hundred thirty-one billion, four hundred forty-four million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 20129 40258 60387 70501 80516 100645 120774 141002 161032 201290 211503 241548 282004 301935 352505 402580 423006 483096 564008 603870 705010 805160 846012 1057515 1207740 1410020 1469417 1692024 2115030 2415480 2820040 2938834 4230060 4408251 5146573 5877668 7347085 8460120 8816502 10293146 11755336 14694170 15439719 17633004 20586292 22041255 25732865 29388340 30879438 35266008 41172584 44082510 51465730 58776680 61758876 77198595 88165020 102931460 123517752 154397190 176330040 205862920 308794380 617588760 1419114629 2838229258 4257343887 5676458516 7095573145 8514687774 11352917032 14191146290 17029375548 21286719435 28382292580 34058751096 42573438870 56764585160 85146877740 103595367917 170293755480 207190735834 310786103751 414381471668 517976839585 621572207502 828762943336 1035953679170 1243144415004 1553930518755 2071907358340 2486288830008 3107861037510 4143814716680 6215722075020 12431444150040