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31201440454431 = 321319412331469249
BaseRepresentation
bin1110001100000101001101…
…10001100101011100011111
311002110211101000212112110200
413012002212301211130133
513042201022224020211
6150205424401434543
76400141531634652
oct706024661453437
9132424330775420
1031201440454431
119a3a502797955
1235bb06b33ba53
13145438b29b050
1479c22cd17899
1539194b19ab56
hex1c60a6c6571f

31201440454431 has 96 divisors (see below), whose sum is σ = 52560831960000. Its totient is φ = 17670469386240.

The previous prime is 31201440454417. The next prime is 31201440454451. The reversal of 31201440454431 is 13445404410213.

It is a happy number.

31201440454431 is a `hidden beast` number, since 3 + 1 + 20 + 144 + 0 + 454 + 43 + 1 = 666.

It is not a de Polignac number, because 31201440454431 - 211 = 31201440452383 is a prime.

It is a super-2 number, since 2×312014404544312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201440454451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20501695 + ... + 21970943.

It is an arithmetic number, because the mean of its divisors is an integer number (547508666250).

Almost surely, 231201440454431 is an apocalyptic number.

31201440454431 is a deficient number, since it is larger than the sum of its proper divisors (21359391505569).

31201440454431 is a wasteful number, since it uses less digits than its factorization.

31201440454431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469561 (or 1469558 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 31201440454431 its reverse (13445404410213), we get a palindrome (44646844864644).

The spelling of 31201440454431 in words is "thirty-one trillion, two hundred one billion, four hundred forty million, four hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 19 39 41 57 117 123 171 233 247 369 533 699 741 779 1599 2097 2223 2337 3029 4427 4797 7011 9087 9553 10127 13281 27261 28659 30381 39843 57551 85977 91143 124189 172653 181507 372567 517959 544521 1117701 1469249 1633563 2359591 4407747 7078773 13223241 19100237 21236319 27915731 57300711 60239209 83747193 171902133 180717627 251241579 342335017 362904503 542152881 783109717 1027005051 1088713509 1144544971 2349329151 3081015153 3266140527 3433634913 4450355221 6504365323 7047987453 10300904739 13351065663 14035735697 14879084623 19513095969 40053196989 42107207091 44637253869 58539287907 84556749199 126321621273 133911761607 182464564061 253670247597 266678978243 547393692183 761010742791 800036934729 1642181076549 2400110804187 3466826717159 10400480151477 31201440454431