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40041453340434 = 23713737873127601
BaseRepresentation
bin10010001101010111000001…
…00110100100011100010010
312020202220222201200220002110
421012223200212210130102
520222014344023343214
6221054442325130150
711301620353446450
oct1106534046443422
9166686881626073
1040041453340434
1111838537594307
1245a8375859956
131945b7b783480
149c6033ac19d0
154968840d3159
hex246ae09a4712

40041453340434 has 128 divisors (see below), whose sum is σ = 99927237247488. Its totient is φ = 10414315929600.

The previous prime is 40041453340409. The next prime is 40041453340451. The reversal of 40041453340434 is 43404335414004.

It is a super-2 number, since 2×400414533404342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40041453340392 and 40041453340401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313738234 + ... + 313865834.

It is an arithmetic number, because the mean of its divisors is an integer number (780681540996).

Almost surely, 240041453340434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041453340434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49963618623744).

40041453340434 is an abundant number, since it is smaller than the sum of its proper divisors (59885783907054).

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

40041453340434 is a wasteful number, since it uses less digits than its factorization.

40041453340434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135572.

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 40041453340434 its reverse (43404335414004), we get a palindrome (83445788754438).

The spelling of 40041453340434 in words is "forty trillion, forty-one billion, four hundred fifty-three million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 146 182 219 273 438 511 546 949 1022 1533 1898 2847 3066 5694 6643 7873 13286 15746 19929 23619 39858 47238 55111 102349 110222 127601 165333 204698 255202 307047 330666 382803 574729 614094 716443 765606 893207 1149458 1432886 1658813 1724187 1786414 2149329 2679621 3317626 3448374 4023103 4298658 4976439 5359242 7471477 8046206 9314873 9952878 11611691 12069309 14942954 18629746 22414431 23223382 24138618 27944619 34835073 44828862 52300339 55889238 65204111 69670146 104600678 121093349 130408222 156901017 195612333 242186698 313802034 363280047 391224666 726560094 847653443 1004602673 1695306886 2009205346 2542960329 3013808019 5085920658 6027616038 7032218711 13059834749 14064437422 21096656133 26119669498 39179504247 42193312266 73335995129 78359008494 91418843243 146671990258 182837686486 220007985387 274256529729 440015970774 513351965903 548513059458 953367936677 1026703931806 1540055897709 1906735873354 2860103810031 3080111795418 5720207620062 6673575556739 13347151113478 20020726670217 40041453340434