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40231142000 = 245373139181
BaseRepresentation
bin100101011101111101…
…101000001001110000
310211211202222202201022
4211131331220021300
51124343133021000
630252032555012
72622652031120
oct453575501160
9124752882638
1040231142000
1116075481495
1279693b2a68
133a41c2158a
141d39178c80
1510a6e43585
hex95df68270

40231142000 has 160 divisors (see below), whose sum is σ = 111543229824. Its totient is φ = 13747968000.

The previous prime is 40231141999. The next prime is 40231142041. The reversal of 40231142000 is 24113204.

40231142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40231142000.

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, 4377410 + ... + 4386590.

Almost surely, 240231142000 is an apocalyptic number.

40231142000 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 40231142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55771614912).

40231142000 is an abundant number, since it is smaller than the sum of its proper divisors (71312087824).

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

40231142000 is a wasteful number, since it uses less digits than its factorization.

40231142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40231142000 its reverse (24113204), we get a palindrome (40255255204).

The spelling of 40231142000 in words is "forty billion, two hundred thirty-one million, one hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 313 350 400 500 560 626 700 875 1000 1252 1400 1565 1750 2000 2191 2504 2800 3130 3500 4382 5008 6260 7000 7825 8764 9181 10955 12520 14000 15650 17528 18362 21910 25040 31300 35056 36724 39125 43820 45905 54775 62600 64267 73448 78250 87640 91810 109550 125200 128534 146896 156500 175280 183620 219100 229525 257068 273875 313000 321335 367240 438200 459050 514136 547750 626000 642670 734480 876400 918100 1028272 1095500 1147625 1285340 1606675 1836200 2191000 2295250 2570680 2873653 3213350 3672400 4382000 4590500 5141360 5747306 6426700 8033375 9181000 11494612 12853400 14368265 16066750 18362000 20115571 22989224 25706800 28736530 32133500 40231142 45978448 57473060 64267000 71841325 80462284 100577855 114946120 128534000 143682650 160924568 201155710 229892240 287365300 321849136 359206625 402311420 502889275 574730600 718413250 804622840 1005778550 1149461200 1436826500 1609245680 2011557100 2514446375 2873653000 4023114200 5028892750 5747306000 8046228400 10057785500 20115571000 40231142000