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40034205431325 = 3252725418543131
BaseRepresentation
bin10010001101001001100001…
…00101111111011000011101
312020202020021121110221221100
421012210300211333120131
520221410023042300300
6221051243213223313
711301242634314220
oct1106446045773035
9166666247427840
1040034205431325
1111835458304986
1245a6a92491b39
131945294cba761
149c59472715b7
154965acb49700
hex24693097f61d

40034205431325 has 36 divisors (see below), whose sum is σ = 81949383057568. Its totient is φ = 18301351053600.

The previous prime is 40034205431291. The next prime is 40034205431347. The reversal of 40034205431325 is 52313450243004.

40034205431325 is a `hidden beast` number, since 40 + 0 + 3 + 42 + 0 + 543 + 1 + 32 + 5 = 666.

40034205431325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40034205431325 - 26 = 40034205431261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40034205431325.

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 35 ways as a sum of consecutive naturals, for example, 12709269991 + ... + 12709273140.

Almost surely, 240034205431325 is an apocalyptic number.

40034205431325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40034205431325 is an abundant number, since it is smaller than the sum of its proper divisors (41915177626243).

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

40034205431325 is a wasteful number, since it uses less digits than its factorization.

40034205431325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25418543154 (or 25418543146 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 40034205431325 its reverse (52313450243004), we get a palindrome (92347655674329).

The spelling of 40034205431325 in words is "forty trillion, thirty-four billion, two hundred five million, four hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 25418543131 76255629393 127092715655 177929801917 228766888179 381278146965 533789405751 635463578275 889649009585 1143834440895 1601368217253 1906390734825 2668947028755 4448245047925 5719172204475 8006841086265 13344735143775 40034205431325