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314440040004031 = 29412572387943093
BaseRepresentation
bin100011101111110110100011…
…0111000110011100110111111
31112020100011201000202212022201
41013133231012320303212333
5312203241200220112111
63032431432111452331
7123142354214355244
oct10737550670634677
91466304630685281
10314440040004031
11912102aa169127
122b3247052270a7
131065b751114c76
145790d9ca895cb
1526544913e06c1
hex11dfb46e339bf

314440040004031 has 32 divisors (see below), whose sum is σ = 334534860777600. Its totient is φ = 295020766494720.

The previous prime is 314440040004019. The next prime is 314440040004037. The reversal of 314440040004031 is 130400040044413.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314440040004031 is a prime.

It is a super-2 number, since 2×3144400400040312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314440040004037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7296756121 + ... + 7296799213.

It is an arithmetic number, because the mean of its divisors is an integer number (10454214399300).

Almost surely, 2314440040004031 is an apocalyptic number.

314440040004031 is a deficient number, since it is larger than the sum of its proper divisors (20094820773569).

314440040004031 is a wasteful number, since it uses less digits than its factorization.

314440040004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67299.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314440040004031 its reverse (130400040044413), we get a palindrome (444840080048444).

The spelling of 314440040004031 in words is "three hundred fourteen trillion, four hundred forty billion, forty million, four thousand, thirty-one".

Divisors: 1 29 41 257 1189 7453 10537 23879 43093 305573 692491 979039 1249697 1766813 6136903 11074901 28392131 51237577 177970187 251613023 321172129 454070941 1029017747 7296777667 13168057289 29841514663 42189727627 264457560979 1223502101183 7669269268391 10842760000139 314440040004031