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40173231824 = 24112931253901
BaseRepresentation
bin100101011010100000…
…101101111011010000
310211200202000121212222
4211122200231323100
51124233321404244
630242203440212
72621346556565
oct453240557320
9124622017788
1040173231824
1116045818740
127951b26068
133a32c268bb
141d315c286c
1510a1d04bee
hex95a82ded0

40173231824 has 80 divisors (see below), whose sum is σ = 90673482240. Its totient is φ = 17062080000.

The previous prime is 40173231809. The next prime is 40173231827. The reversal of 40173231824 is 42813237104.

It is a super-2 number, since 2×401732318242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40173231827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31274 + ... + 285174.

It is an arithmetic number, because the mean of its divisors is an integer number (1133418528).

Almost surely, 240173231824 is an apocalyptic number.

40173231824 is a gapful number since it is divisible by the number (44) 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 40173231824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45336741120).

40173231824 is an abundant number, since it is smaller than the sum of its proper divisors (50500250416).

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

40173231824 is a wasteful number, since it uses less digits than its factorization.

40173231824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253980 (or 253974 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 40173231824 its reverse (42813237104), we get a palindrome (82986468928).

The spelling of 40173231824 in words is "forty billion, one hundred seventy-three million, two hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 31 44 58 62 88 116 124 176 232 248 319 341 464 496 638 682 899 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 14384 19778 39556 79112 158224 253901 507802 1015604 2031208 2792911 4062416 5585822 7363129 7870931 11171644 14726258 15741862 22343288 29452516 31483724 44686576 58905032 62967448 80994419 86580241 117810064 125934896 161988838 173160482 228256999 323977676 346320964 456513998 647955352 692641928 913027996 1295910704 1385283856 1826055992 2510826989 3652111984 5021653978 10043307956 20086615912 40173231824