Search a number
-
+
40324400432001 = 3277272511735053
BaseRepresentation
bin10010010101100110000011…
…00100000100001110000001
312021202222022210120102012100
421022303001210010032001
520241133333002311001
6221432435051221013
711331225143160660
oct1112630144041601
9167688283512170
1040324400432001
1111937533875054
124633180147769
1319667616557ca
149d59d60d0dd7
1549dde4618586
hex24acc1904381

40324400432001 has 48 divisors (see below), whose sum is σ = 66663384196864. Its totient is φ = 23009246612352.

The previous prime is 40324400431999. The next prime is 40324400432021. The reversal of 40324400432001 is 10023400442304.

It is a happy number.

It is not a de Polignac number, because 40324400432001 - 21 = 40324400431999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40324400432021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150366191 + ... + 1150401243.

Almost surely, 240324400432001 is an apocalyptic number.

It is an amenable number.

40324400432001 is a deficient number, since it is larger than the sum of its proper divisors (26338983764863).

40324400432001 is a wasteful number, since it uses less digits than its factorization.

40324400432001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60910 (or 60907 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40324400432001 its reverse (10023400442304), we get a palindrome (50347800874305).

The spelling of 40324400432001 in words is "forty trillion, three hundred twenty-four billion, four hundred million, four hundred thirty-two thousand, one".

Divisors: 1 3 7 9 21 63 727 2181 5089 6543 15267 25117 35053 45801 75351 105159 175819 226053 245371 315477 527457 736113 1582371 2208339 18260059 25483531 54780177 76450593 127820413 164340531 178384717 229351779 383461239 535154151 880426201 1150383717 1605462453 2641278603 6162983407 7923835809 18488950221 55466850663 640069848127 1920209544381 4480488936889 5760628633143 13441466810667 40324400432001