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40144105023414 = 2372953621868591
BaseRepresentation
bin10010010000010110001110…
…00111101010011110110110
312021010201221200221200112220
421020023013013222132312
520230210111341222124
6221213540335023210
711312213226403230
oct1110130707523666
9167121850850486
1040144105023414
1111878023805047
12460424366ab06
13195275a7602a2
149cadb0d99250
1549939100b879
hex2482c71ea7b6

40144105023414 has 64 divisors (see below), whose sum is σ = 96713003427840. Its totient is φ = 10865288004480.

The previous prime is 40144105023343. The next prime is 40144105023433. The reversal of 40144105023414 is 41432050144104.

40144105023414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401441050234142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

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, 310869742 + ... + 310998849.

It is an arithmetic number, because the mean of its divisors is an integer number (1511140678560).

Almost surely, 240144105023414 is an apocalyptic number.

40144105023414 is an abundant number, since it is smaller than the sum of its proper divisors (56568898404426).

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

40144105023414 is a wasteful number, since it uses less digits than its factorization.

40144105023414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621868685.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 40144105023414 its reverse (41432050144104), we get a palindrome (81576155167518).

The spelling of 40144105023414 in words is "forty trillion, one hundred forty-four billion, one hundred five million, twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 53 58 87 106 159 174 203 318 371 406 609 742 1113 1218 1537 2226 3074 4611 9222 10759 21518 32277 64554 621868591 1243737182 1865605773 3731211546 4353080137 8706160274 13059240411 18034189139 26118480822 32959035323 36068378278 54102567417 65918070646 98877105969 108205134834 126239323973 197754211938 230713247261 252478647946 378717971919 461426494522 692139741783 757435943838 955812024367 1384279483566 1911624048734 2867436073101 5734872146202 6690684170569 13381368341138 20072052511707 40144105023414