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40323041434100 = 22521792252683879
BaseRepresentation
bin10010010101100011100001…
…00011111001100111110100
312021202211211002101011112202
421022301300203321213310
520241123042101342400
6221432052143204032
711331146361655655
oct1112616043714764
9167684732334482
1040323041434100
11119369a6740897
124632a60ba6618
1319665a5c31a39
149d590781352c
1549dd651724d5
hex24ac708f99f4

40323041434100 has 36 divisors (see below), whose sum is σ = 87989832352800. Its totient is φ = 16039109211360.

The previous prime is 40323041434097. The next prime is 40323041434111. The reversal of 40323041434100 is 143414032304.

It is a happy number.

40323041434100 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-3 number, since 3×403230414341003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 1126324040 + ... + 1126359839.

It is an arithmetic number, because the mean of its divisors is an integer number (2444162009800).

Almost surely, 240323041434100 is an apocalyptic number.

It is an amenable number.

40323041434100 is an abundant number, since it is smaller than the sum of its proper divisors (47666790918700).

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

40323041434100 is a wasteful number, since it uses less digits than its factorization.

40323041434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252684072 (or 2252684065 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 40323041434100 its reverse (143414032304), we get a palindrome (40466455466404).

The spelling of 40323041434100 in words is "forty trillion, three hundred twenty-three billion, forty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 8950 17900 2252683879 4505367758 9010735516 11263419395 22526838790 45053677580 56317096975 112634193950 225268387900 403230414341 806460828682 1612921657364 2016152071705 4032304143410 8064608286820 10080760358525 20161520717050 40323041434100