Search a number
-
+
40133320320 = 2735107195353
BaseRepresentation
bin100101011000001000…
…011101111010000000
310211120221220220121010
4211120020131322000
51124143112222240
630234220200520
72620353410532
oct453010357200
9124527826533
1040133320320
1116025238625
127940699140
133a27891422
141d2a193852
15109d56e280
hex95821de80

40133320320 has 128 divisors (see below), whose sum is σ = 129121179840. Its totient is φ = 10602143744.

The previous prime is 40133320289. The next prime is 40133320349. The reversal of 40133320320 is 2302333104.

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

It is a super-2 number, since 2×401333203202 (a number of 22 digits) contains 22 as substring.

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, 107764 + ... + 303116.

Almost surely, 240133320320 is an apocalyptic number.

40133320320 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 40133320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64560589920).

40133320320 is an abundant number, since it is smaller than the sum of its proper divisors (88987859520).

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

40133320320 is a wasteful number, since it uses less digits than its factorization.

40133320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195482 (or 195470 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 40133320320 its reverse (2302333104), we get a palindrome (42435653424).

The spelling of 40133320320 in words is "forty billion, one hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 320 321 384 428 480 535 640 642 856 960 1070 1284 1605 1712 1920 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 13696 17120 20544 25680 34240 41088 51360 68480 102720 195353 205440 390706 586059 781412 976765 1172118 1562824 1953530 2344236 2930295 3125648 3907060 4688472 5860590 6251296 7814120 9376944 11721180 12502592 15628240 18753888 20902771 23442360 25005184 31256480 37507776 41805542 46884720 62512960 62708313 75015552 83611084 93769440 104513855 125025920 125416626 167222168 187538880 209027710 250833252 313541565 334444336 375077760 418055420 501666504 627083130 668888672 836110840 1003333008 1254166260 1337777344 1672221680 2006666016 2508332520 2675554688 3344443360 4013332032 5016665040 6688886720 8026664064 10033330080 13377773440 20066660160 40133320320