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40461244216404 = 223112313327155539
BaseRepresentation
bin10010011001100100111100…
…00101101011010001010100
312022021001112200021221002120
421030302132011223101110
520300404112004411104
6222015350004335540
711344141231146354
oct1114623605532124
9168231480257076
1040461244216404
111198a5765a0750
1246557b09a45b0
13197662c3691bb
149dc498490b64
154a27531d9cd9
hex24cc9e16b454

40461244216404 has 48 divisors (see below), whose sum is σ = 107470182274560. Its totient is φ = 11727896873440.

The previous prime is 40461244216373. The next prime is 40461244216409.

40461244216404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404612442164042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40461244216409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6663574734 + ... + 6663580805.

It is an arithmetic number, because the mean of its divisors is an integer number (2238962130720).

Almost surely, 240461244216404 is an apocalyptic number.

40461244216404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40461244216404 is an abundant number, since it is smaller than the sum of its proper divisors (67008938058156).

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

40461244216404 is a wasteful number, since it uses less digits than its factorization.

40461244216404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327155580 (or 13327155578 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 40461244216404 in words is "forty trillion, four hundred sixty-one billion, two hundred forty-four million, two hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 13327155539 26654311078 39981466617 53308622156 79962933234 146598710929 159925866468 293197421858 306524577397 439796132787 586394843716 613049154794 879592265574 919573732191 1226098309588 1759184531148 1839147464382 3371770351367 3678294928764 6743540702734 10115311054101 13487081405468 20230622108202 40461244216404