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40231312120 = 23519374393259
BaseRepresentation
bin100101011101111110…
…010001101011111000
310211211210022102002001
4211131332101223320
51124343203441440
630252040350344
72622653340106
oct453576215370
9124753272061
1040231312120
111607558828a
1279694753b4
133a41c80b3c
141d391c0c76
1510a6e78b9a
hex95df91af8

40231312120 has 128 divisors (see below), whose sum is σ = 98112960000. Its totient is φ = 14795177472.

The previous prime is 40231312111. The next prime is 40231312169. The reversal of 40231312120 is 2121313204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 12343051 + ... + 12346309.

It is an arithmetic number, because the mean of its divisors is an integer number (766507500).

Almost surely, 240231312120 is an apocalyptic number.

40231312120 is a gapful number since it is divisible by the number (40) 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 40231312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056480000).

40231312120 is an abundant number, since it is smaller than the sum of its proper divisors (57881647880).

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

40231312120 is a wasteful number, since it uses less digits than its factorization.

40231312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 40231312120 its reverse (2121313204), we get a palindrome (42352625324).

The spelling of 40231312120 in words is "forty billion, two hundred thirty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 439 703 740 760 878 1406 1480 1756 2195 2812 3259 3512 3515 4390 5624 6518 7030 8341 8780 13036 14060 16243 16295 16682 17560 26072 28120 32486 32590 33364 41705 61921 64972 65180 66728 81215 83410 120583 123842 129944 130360 162430 166820 241166 247684 308617 309605 324860 333640 482332 495368 602915 617234 619210 649720 964664 1205830 1234468 1238420 1430701 1543085 2291077 2411660 2468936 2476840 2861402 3086170 4582154 4823320 5722804 6172340 7153505 9164308 11445608 11455385 12344680 14307010 18328616 22910770 27183319 28614020 45821540 52935937 54366638 57228040 91643080 105871874 108733276 135916595 211743748 217466552 264679685 271833190 423487496 529359370 543666380 1005782803 1058718740 1087332760 2011565606 2117437480 4023131212 5028914015 8046262424 10057828030 20115656060 40231312120