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40453320320 = 275729311371
BaseRepresentation
bin100101101011001101…
…001010111010000000
310212102021001121001222
4211223031022322000
51130322022222240
630330051014212
72631320356250
oct455315127200
9125367047058
1040453320320
1116179932336
127a0b89a368
133a78c7263a
141d5a891960
1510bb6cdeb5
hex96b34ae80

40453320320 has 128 divisors (see below), whose sum is σ = 114335798400. Its totient is φ = 13391400960.

The previous prime is 40453320319. The next prime is 40453320353. The reversal of 40453320320 is 2302335404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×404533203202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40453320320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25766 + ... + 285605.

It is an arithmetic number, because the mean of its divisors is an integer number (893248425).

Almost surely, 240453320320 is an apocalyptic number.

40453320320 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 40453320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57167899200).

40453320320 is an abundant number, since it is smaller than the sum of its proper divisors (73882478080).

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

40453320320 is a wasteful number, since it uses less digits than its factorization.

40453320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311426 (or 311414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 40453320320 its reverse (2302335404), we get a palindrome (42755655724).

The spelling of 40453320320 in words is "forty billion, four hundred fifty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 3712 4060 4480 4640 6496 8120 9280 12992 16240 18560 25984 32480 64960 129920 311371 622742 1245484 1556855 2179597 2490968 3113710 4359194 4981936 6227420 8718388 9029759 9963872 10897985 12454840 17436776 18059518 19927744 21795970 24909680 34873552 36119036 39855488 43591940 45148795 49819360 63208313 69747104 72238072 87183880 90297590 99638720 126416626 139494208 144476144 174367760 180595180 199277440 252833252 278988416 288952288 316041565 348735520 361190360 505666504 577904576 632083130 697471040 722380720 1011333008 1155809152 1264166260 1394942080 1444761440 2022666016 2528332520 2889522880 4045332032 5056665040 5779045760 8090664064 10113330080 20226660160 40453320320