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40140430440 = 23351134987133
BaseRepresentation
bin100101011000100011…
…100101110001101000
310211121110022010211220
4211120203211301220
51124201422233230
630235032422040
72620501012665
oct453043456150
9124543263756
1040140430440
1116029254560
127942b47920
133a291b07b6
141d2b0c4a6c
15109dec5d10
hex9588e5c68

40140430440 has 128 divisors (see below), whose sum is σ = 131746608000. Its totient is φ = 9703019520.

The previous prime is 40140430433. The next prime is 40140430513. The reversal of 40140430440 is 4403404104.

It is a super-2 number, since 2×401404304402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40140430440.

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, 417114 + ... + 504246.

It is an arithmetic number, because the mean of its divisors is an integer number (1029270375).

Almost surely, 240140430440 is an apocalyptic number.

40140430440 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 40140430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65873304000).

40140430440 is an abundant number, since it is smaller than the sum of its proper divisors (91606177560).

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

40140430440 is a wasteful number, since it uses less digits than its factorization.

40140430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87507 (or 87503 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40140430440 its reverse (4403404104), we get a palindrome (44543834544).

The spelling of 40140430440 in words is "forty billion, one hundred forty million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 349 440 660 698 1047 1320 1396 1745 2094 2792 3490 3839 4188 5235 6980 7678 8376 10470 11517 13960 15356 19195 20940 23034 30712 38390 41880 46068 57585 76780 87133 92136 115170 153560 174266 230340 261399 348532 435665 460680 522798 697064 871330 958463 1045596 1306995 1742660 1916926 2091192 2613990 2875389 3485320 3833852 4792315 5227980 5750778 7667704 9584630 10455960 11501556 14376945 19169260 23003112 28753890 30409417 38338520 57507780 60818834 91228251 115015560 121637668 152047085 182456502 243275336 304094170 334503587 364913004 456141255 608188340 669007174 729826008 912282510 1003510761 1216376680 1338014348 1672517935 1824565020 2007021522 2676028696 3345035870 3649130040 4014043044 5017553805 6690071740 8028086088 10035107610 13380143480 20070215220 40140430440