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40414253250 = 2353713158763
BaseRepresentation
bin100101101000111000…
…001001000011000010
310212022112112210010110
4211220320021003002
51130232022101000
630322133412150
72630334325140
oct455070110302
9125275483113
1040414253250
11161598796a8
1279ba79a056
133a70b44627
141d55602590
1510b8063850
hex968e090c2

40414253250 has 128 divisors (see below), whose sum is σ = 116166555648. Its totient is φ = 9166872000.

The previous prime is 40414253161. The next prime is 40414253261. The reversal of 40414253250 is 5235241404.

It is a super-3 number, since 3×404142532503 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658369 + ... + 717131.

It is an arithmetic number, because the mean of its divisors is an integer number (907551216).

Almost surely, 240414253250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414253250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58083277824).

40414253250 is an abundant number, since it is smaller than the sum of its proper divisors (75752302398).

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

40414253250 is a wasteful number, since it uses less digits than its factorization.

40414253250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58921 (or 58911 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 40414253250 its reverse (5235241404), we get a palindrome (45649494654).

The spelling of 40414253250 in words is "forty billion, four hundred fourteen million, two hundred fifty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 131 150 175 210 250 262 350 375 393 525 655 750 786 875 917 1050 1310 1750 1834 1965 2625 2751 3275 3930 4585 5250 5502 6550 9170 9825 13755 16375 19650 22925 27510 32750 45850 49125 58763 68775 98250 114625 117526 137550 176289 229250 293815 343875 352578 411341 587630 687750 822682 881445 1234023 1469075 1762890 2056705 2468046 2938150 4113410 4407225 6170115 7345375 7697953 8814450 10283525 12340230 14690750 15395906 20567050 22036125 23093859 30850575 38489765 44072250 46187718 51417625 53885671 61701150 76979530 102835250 107771342 115469295 154252875 161657013 192448825 230938590 269428355 308505750 323314026 384897650 538856710 577346475 808285065 962244125 1154692950 1347141775 1616570130 1924488250 2694283550 2886732375 4041425325 5773464750 6735708875 8082850650 13471417750 20207126625 40414253250