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40133313024 = 29376755711
BaseRepresentation
bin100101011000001000…
…011100001000000000
310211120221220112120220
4211120020130020000
51124143112004044
630234220103040
72620353350340
oct453010341000
9124527815526
1040133313024
11160252330a2
127940694a80
133a2788accc
141d2a190d20
15109d56c019
hex95821c200

40133313024 has 160 divisors (see below), whose sum is σ = 124017586176. Its totient is φ = 11295313920.

The previous prime is 40133313001. The next prime is 40133313037. The reversal of 40133313024 is 42031333104.

It is a super-2 number, since 2×401333130242 (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 junction number, because it is equal to n+sod(n) for n = 40133312985 and 40133313003.

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, 692529 + ... + 748239.

Almost surely, 240133313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008793088).

40133313024 is an abundant number, since it is smaller than the sum of its proper divisors (83884273152).

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

40133313024 is an equidigital number, since it uses as much as digits as its factorization.

40133313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55806 (or 55790 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 40133313024 its reverse (42031333104), we get a palindrome (82164646128).

The spelling of 40133313024 in words is "forty billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1072 1344 1407 1536 1608 1792 1876 2144 2688 2814 3216 3584 3752 4288 5376 5628 6432 7504 8576 10752 11256 12864 15008 17152 22512 25728 30016 34304 45024 51456 55711 60032 90048 102912 111422 120064 167133 180096 222844 240128 334266 360192 389977 445688 668532 720384 779954 891376 1169931 1337064 1559908 1782752 2339862 2674128 3119816 3565504 3732637 4679724 5348256 6239632 7131008 7465274 9359448 10696512 11197911 12479264 14262016 14930548 18718896 21393024 22395822 24958528 26128459 28524032 29861096 37437792 42786048 44791644 49917056 52256918 59722192 74875584 78385377 85572096 89583288 99834112 104513836 119444384 149751168 156770754 179166576 199668224 209027672 238888768 299502336 313541508 358333152 418055344 477777536 599004672 627083016 716666304 836110688 955555072 1254166032 1433332608 1672221376 1911110144 2508332064 2866665216 3344442752 5016664128 5733330432 6688885504 10033328256 13377771008 20066656512 40133313024