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40210512040 = 2357131814451
BaseRepresentation
bin100101011100101110…
…111011100010101000
310211210100011122201201
4211130232323202220
51124322342341130
630250014453544
72622311466346
oct453456734250
9124710148651
1040210512040
1116064870936
1279625042b4
133a3a87a4ba
141d36528996
1510a521abca
hex95cbbb8a8

40210512040 has 64 divisors (see below), whose sum is σ = 91797390720. Its totient is φ = 15849120000.

The previous prime is 40210511987. The next prime is 40210512053. The reversal of 40210512040 is 4021501204.

It is a junction number, because it is equal to n+sod(n) for n = 40210511999 and 40210512017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9031815 + ... + 9036265.

It is an arithmetic number, because the mean of its divisors is an integer number (1434334230).

Almost surely, 240210512040 is an apocalyptic number.

40210512040 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 40210512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45898695360).

40210512040 is an abundant number, since it is smaller than the sum of its proper divisors (51586878680).

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

40210512040 is a wasteful number, since it uses less digits than its factorization.

40210512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 40210512040 in words is "forty billion, two hundred ten million, five hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3181 4451 6362 8902 12724 15905 17804 22255 25448 31810 35608 44510 63620 89020 127240 178040 225851 316021 451702 632042 903404 1129255 1264084 1580105 1806808 2258510 2528168 3160210 4517020 6320420 9034040 12640840 14158631 28317262 56634524 70793155 113269048 141586310 283172620 566345240 1005262801 2010525602 4021051204 5026314005 8042102408 10052628010 20105256020 40210512040