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40131736015734 = 232111791579717113
BaseRepresentation
bin10010001111111111001011…
…10111101001001101110110
312021002120000200110222211100
421013333211313221031312
520230004243410000414
6221204133124150530
711311264554515316
oct1107774567511566
9167076020428740
1040131736015734
1111872856826550
124601971238446
131951539018a2c
149ca55a363446
15498dba19a609
hex247fe5de9376

40131736015734 has 96 divisors (see below), whose sum is σ = 95447299708800. Its totient is φ = 12085517220480.

The previous prime is 40131736015729. The next prime is 40131736015751. The reversal of 40131736015734 is 43751063713104.

40131736015734 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 7 + 3 + 601 + 5 + 7 + 34 = 666.

It is a super-2 number, since 2×401317360157342 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40131736015734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55604362 + ... + 56321474.

It is an arithmetic number, because the mean of its divisors is an integer number (994242705300).

Almost surely, 240131736015734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131736015734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47723649854400).

40131736015734 is an abundant number, since it is smaller than the sum of its proper divisors (55315563693066).

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

40131736015734 is a wasteful number, since it uses less digits than its factorization.

40131736015734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718890 (or 718887 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 40131736015734 its reverse (43751063713104), we get a palindrome (83882799728838).

The spelling of 40131736015734 in words is "forty trillion, one hundred thirty-one billion, seven hundred thirty-six million, fifteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 179 198 358 537 1074 1579 1611 1969 3158 3222 3938 4737 5907 9474 11814 14211 17369 17721 28422 34738 35442 52107 104214 156321 282641 312642 565282 717113 847923 1434226 1695846 2151339 2543769 3109051 4302678 5087538 6218102 6454017 7888243 9327153 12908034 15776486 18654306 23664729 27981459 47329458 55962918 70994187 128363227 141988374 256726454 385089681 770179362 1132321427 1155269043 1411995497 2264642854 2310538086 2823990994 3396964281 4235986491 6793928562 8471972982 10190892843 12455535697 12707959473 20381785686 24911071394 25415918946 37366607091 74733214182 112099821273 202685535433 224199642546 405371070866 608056606299 1216113212598 1824169818897 2229540889763 3648339637794 4459081779526 6688622669289 13377245338578 20065868007867 40131736015734