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40948110912 = 263239919971
BaseRepresentation
bin100110001000101100…
…101001011001000000
310220200202002120011110
4212020230221121000
51132330204022122
630451124043320
72646506125362
oct461054513100
9126622076143
1040948110912
1116403160885
127b29533540
133b27622537
141da648cd32
1510e9d6890c
hex988b29640

40948110912 has 112 divisors (see below), whose sum is σ = 109025740800. Its totient is φ = 13563486720.

The previous prime is 40948110883. The next prime is 40948110913. The reversal of 40948110912 is 21901184904.

It is a super-2 number, since 2×409481109122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40948110913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42170587 + ... + 42171557.

Almost surely, 240948110912 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 40948110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512870400).

40948110912 is an abundant number, since it is smaller than the sum of its proper divisors (68077629888).

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

40948110912 is a wasteful number, since it uses less digits than its factorization.

40948110912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 40948110912 in words is "forty billion, nine hundred forty-eight million, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 919 956 971 1434 1838 1912 1942 2757 2868 2913 3676 3824 3884 5514 5736 5826 7352 7648 7768 11028 11472 11652 14704 15296 15536 22056 22944 23304 29408 31072 44112 45888 46608 58816 62144 88224 93216 176448 186432 219641 232069 439282 464138 658923 696207 878564 892349 928276 1317846 1392414 1757128 1784698 1856552 2635692 2677047 2784828 3514256 3569396 3713104 5271384 5354094 5569656 7028512 7138792 7426208 10542768 10708188 11139312 14057024 14277584 14852416 21085536 21416376 22278624 28555168 42171072 42832752 44557248 57110336 85665504 171331008 213271411 426542822 639814233 853085644 1279628466 1706171288 2559256932 3412342576 5118513864 6824685152 10237027728 13649370304 20474055456 40948110912