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40891114480 = 24519190714107
BaseRepresentation
bin100110000101010011…
…001110001111110000
310220112202211211202111
4212011103032033300
51132221111130410
630441330255104
72645214511126
oct460523161760
9126482754674
1040891114480
1116383a71597
127b12427494
133b18887738
141d9ca93916
1510e4d5ab8a
hex9854ce3f0

40891114480 has 80 divisors (see below), whose sum is σ = 100135198080. Its totient is φ = 15486356736.

The previous prime is 40891114463. The next prime is 40891114507. The reversal of 40891114480 is 8441119804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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, 2891587 + ... + 2905693.

It is an arithmetic number, because the mean of its divisors is an integer number (1251689976).

Almost surely, 240891114480 is an apocalyptic number.

40891114480 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 40891114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50067599040).

40891114480 is an abundant number, since it is smaller than the sum of its proper divisors (59244083600).

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

40891114480 is a wasteful number, since it uses less digits than its factorization.

40891114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16046 (or 16040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 40891114480 in words is "forty billion, eight hundred ninety-one million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1907 3814 7628 9535 14107 15256 19070 28214 30512 36233 38140 56428 70535 72466 76280 112856 141070 144932 152560 181165 225712 268033 282140 289864 362330 536066 564280 579728 724660 1072132 1128560 1340165 1449320 2144264 2680330 2898640 4288528 5360660 10721320 21442640 26902049 53804098 107608196 134510245 215216392 269020490 430432784 511138931 538040980 1022277862 1076081960 2044555724 2152163920 2555694655 4089111448 5111389310 8178222896 10222778620 20445557240 40891114480