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40141450116742 = 21315349100586483
BaseRepresentation
bin10010010000010001010001…
…10111111111111010000110
312021010111002200021110021011
421020020220313333322012
520230134142212213432
6221212421055112434
711312060361150442
oct1110105067777206
9167114080243234
1040141450116742
11118769911183a7
12460382251271a
1319524267047b0
149cabdc543822
15499287dd2847
hex248228dffe86

40141450116742 has 16 divisors (see below), whose sum is σ = 64848106234800. Its totient is φ = 18525615908832.

The previous prime is 40141450116667. The next prime is 40141450116839. The reversal of 40141450116742 is 24761105414104.

40141450116742 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 3×401414501167423 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40141450116695 and 40141450116704.

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 7 ways as a sum of consecutive naturals, for example, 49894168 + ... + 50692315.

It is an arithmetic number, because the mean of its divisors is an integer number (4053006639675).

Almost surely, 240141450116742 is an apocalyptic number.

40141450116742 is a deficient number, since it is larger than the sum of its proper divisors (24706656118058).

40141450116742 is a wasteful number, since it uses less digits than its factorization.

40141450116742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100601847.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 40141450116742 in words is "forty trillion, one hundred forty-one billion, four hundred fifty million, one hundred sixteen thousand, seven hundred forty-two".

Divisors: 1 2 13 26 15349 30698 199537 399074 100586483 201172966 1307624279 2615248558 1543901927567 3087803855134 20070725058371 40141450116742