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40450211232 = 2536759910499
BaseRepresentation
bin100101101011000001…
…010011110110100000
310212102001012122012120
4211223001103312200
51130320223224412
630325500224240
72631252056664
oct455301236640
9125361178176
1040450211232
11161780a9442
127a0a83b080
133a78424442
141d5a2c28a4
1510bb2b7b8c
hex96b053da0

40450211232 has 96 divisors (see below), whose sum is σ = 107956800000. Its totient is φ = 13258722048.

The previous prime is 40450211227. The next prime is 40450211257. The reversal of 40450211232 is 23211205404.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 3847519 + ... + 3858017.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550000).

Almost surely, 240450211232 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 40450211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400000).

40450211232 is an abundant number, since it is smaller than the sum of its proper divisors (67506588768).

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

40450211232 is a wasteful number, since it uses less digits than its factorization.

40450211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40450211232 its reverse (23211205404), we get a palindrome (63661416636).

The spelling of 40450211232 in words is "forty billion, four hundred fifty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 599 804 1072 1198 1608 1797 2144 2396 3216 3594 4792 6432 7188 9584 10499 14376 19168 20998 28752 31497 40133 41996 57504 62994 80266 83992 120399 125988 160532 167984 240798 251976 321064 335968 481596 503952 642128 703433 963192 1007904 1284256 1406866 1926384 2110299 2813732 3852768 4220598 5627464 6288901 8441196 11254928 12577802 16882392 18866703 22509856 25155604 33764784 37733406 50311208 67529568 75466812 100622416 150933624 201244832 301867248 421356367 603734496 842712734 1264069101 1685425468 2528138202 3370850936 5056276404 6741701872 10112552808 13483403744 20225105616 40450211232