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40344136451454 = 23115929693489589
BaseRepresentation
bin10010010110001010110011…
…11011000000010101111110
312021211212021020101002012210
421023011121323000111332
520241444242412421304
6221445501310441250
711332524211444203
oct1113053173002576
9167755236332183
1040344136451454
1111944941291630
124636b69803226
131968588434424
149d69492dbcaa
1549e69c0dcc89
hex24b159ec057e

40344136451454 has 64 divisors (see below), whose sum is σ = 89545671072000. Its totient is φ = 12014232733440.

The previous prime is 40344136451419. The next prime is 40344136451467. The reversal of 40344136451454 is 45415463144304.

40344136451454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9816492 + ... + 13306080.

It is an arithmetic number, because the mean of its divisors is an integer number (1399151110500).

Almost surely, 240344136451454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40344136451454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44772835536000).

40344136451454 is an abundant number, since it is smaller than the sum of its proper divisors (49201534620546).

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

40344136451454 is a wasteful number, since it uses less digits than its factorization.

40344136451454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492633.

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 40344136451454 its reverse (45415463144304), we get a palindrome (85759599595758).

The spelling of 40344136451454 in words is "forty trillion, three hundred forty-four billion, one hundred thirty-six million, four hundred fifty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 2969 3894 5938 8907 17814 32659 65318 97977 175171 195954 350342 525513 1051026 1926881 3489589 3853762 5780643 6979178 10468767 11561286 20937534 38385479 76770958 115156437 205885751 230312874 411771502 617657253 1235314506 2264743261 4529486522 6794229783 10360589741 13588459566 20721179482 31081769223 62163538446 113966487151 227932974302 341899461453 611274794719 683798922906 1222549589438 1833824384157 3667648768314 6724022741909 13448045483818 20172068225727 40344136451454